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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample537.0ms (11.4%)

Memory

0.9MiB live, 950.2MiB allocated

Samples

350.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-div: 85.0ms (57.5% of total)

ival-add: 46.0ms (31.1% of total)

exact: 8.0ms (5.4% of total)

ival-true: 6.0ms (4.1% of total)

ival-assert: 4.0ms (2.7% of total)

Bogosity

explain69.0ms (1.5%)

Memory

3.3MiB live, 80.6MiB allocated

FPErrors

Click to see full error table

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

36.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (51.4% of total)

ival-add: 2.0ms (25.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	20	6
2	42	6
3	74	6
4	96	6
5	106	6
0	5	3
0	8	3
1	11	3
0	11	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 #s(literal 1/3 binary64) x)

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)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 (0.1%)

Memory

2.1MiB live, 2.1MiB 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	11	7
0	11	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 #s(literal 1/3 binary64) x)
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize25.0ms (0.5%)

Memory

-15.1MiB live, 22.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.01953125	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (51.5% of total)

ival-add: 1.0ms (25.8% 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

1.6MiB live, 1.6MiB 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 (+ 1/3 x) (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 (+ 1/3 x) (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 (+ 1/3 x) (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 (* 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>) () ())) ())

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)))

simplify4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	22	30
2	37	30
3	77	30
4	77	30
5	78	30
6	80	30
7	80	30
0	80	30

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 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))))

Outputs
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))
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))

rewrite188.0ms (4%)

Memory

27.8MiB live, 170.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	25	4
2	126	4
3	957	4
0	8643	4

Stop Event

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

Counts

2 → 265

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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eval61.0ms (1.3%)

Memory: -26.8MiB live, 68.5MiB allocated
Compiler: Compiled 6 229 to 631 computations (89.9% saved)

prune10.0ms (0.2%)

Memory

-10.9MiB live, 27.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	269	6	275
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	270	6	276

Accuracy

100.0%

Counts

276 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
	56.3%	(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
▶	65.6%	(/.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)))
▶	65.5%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	46.6%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 160 to 96 computations (40% saved)

simplify167.0ms (3.5%)

Memory

-0.2MiB live, 269.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
cost-diff	192	(-.f64 (.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	1536	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 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 -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
cost-diff	896	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.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	27	172
0	45	152
1	88	152
2	288	146
3	1211	137
4	4537	137
0	8248	128

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

localize124.0ms (2.6%)

Memory

21.3MiB live, 181.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
accuracy	0.078125	(.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	0.12728500976844204	(.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	21.378540466087337	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
accuracy	0.02734375	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.1171875	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.21484375	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
accuracy	21.386352966087337	(/.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	0.0078125	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.015625	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.15625	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.25390625	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
accuracy	34.16547316015596	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
accuracy	0.01953125	(-.f64 x #s(literal -1/3 binary64))

Samples

86.0ms	219×	0	valid
11.0ms	17×	2	valid
9.0ms	20×	1	valid

Compiler

Compiled 175 to 29 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

const: 46.0ms (51.6% of total)

ival-mult: 17.0ms (19.1% of total)

ival-div: 13.0ms (14.6% of total)

ival-sub: 7.0ms (7.9% of total)

ival-add: 3.0ms (3.4% of total)

adjust: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (1.2%)

Memory

-11.6MiB live, 26.4MiB allocated

Counts

16 → 192

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

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	x	@	-inf	((- x -1/3) (+ x (/ 1 3)) (+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (- x 1/3) (/ -1/9 (- x 1/3)) (/ (- (* (* 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 x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9))) (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) 9) (* (* x x) (* (- x 1/3) 9)) (* (- x 1/3) (- 1/3 x)) (* (- x 1/3) (* (- x 1/3) 9)))
5.0ms	x	@	inf	((- x -1/3) (+ x (/ 1 3)) (+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (- x 1/3) (/ -1/9 (- x 1/3)) (/ (- (* (* 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 x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9))) (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) 9) (* (* x x) (* (- x 1/3) 9)) (* (- x 1/3) (- 1/3 x)) (* (- x 1/3) (* (- x 1/3) 9)))
3.0ms	x	@	0	((- x -1/3) (+ x (/ 1 3)) (+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (- x 1/3) (/ -1/9 (- x 1/3)) (/ (- (* (* 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 x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9))) (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) 9) (* (* x x) (* (- x 1/3) 9)) (* (- x 1/3) (- 1/3 x)) (* (- x 1/3) (* (- x 1/3) 9)))

Time

Variable

Point

Expression

44.0ms

-inf

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

5.0ms

inf

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

3.0ms

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

simplify262.0ms (5.5%)

Memory

-11.6MiB live, 139.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1121
1	626	1098
2	1703	1086
3	4379	1034
0	8449	966

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 180

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
(* -3 x)
(* x (- (* -9 x) 3))
(* x (- (* x (- (* -27 x) 9)) 3))
(* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* -1/9 x))
(+ 1/27 (* -1/9 x))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1 x)))
(* (pow x 2) (+ 1/3 (* -1 x)))
(* (pow x 2) (+ 1/3 (* -1 x)))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* x (- (* -3 x) 1)))
(+ 1/3 (* x (- (* x (- (* 9 x) 3)) 1)))
-3
(- (* 9 x) 3)
(- (* 9 x) 3)
(- (* 9 x) 3)
(* -3 (pow x 2))
(* (pow x 2) (- (* 9 x) 3))
(* (pow x 2) (- (* 9 x) 3))
(* (pow x 2) (- (* 9 x) 3))
-1/9
(- (* 2/3 x) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
1
(+ 1 (* -6 x))
(+ 1 (* x (- (* 9 x) 6)))
(+ 1 (* x (- (* 9 x) 6)))
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
(+ 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 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x))))
(* (pow x 3) (- (+ 9 (* 1/3 (/ 1 (pow x 3)))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 9 x)
(* x (- 9 (* 3 (/ 1 x))))
(* x (- 9 (* 3 (/ 1 x))))
(* x (- 9 (* 3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 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))))
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 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) 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)))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) 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)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) 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))))
(* 9 (pow x 3))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) 3) x)) 9)))
(* 9 x)
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(* 9 (pow x 3))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))

Outputs
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))
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))
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 (- (* -9 x) 3))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)) x)
(* x (- (* x (- (* -27 x) 9)) 3))
(*.f64 (fma.f64 (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64)) x #s(literal -3 binary64)) x)
(* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3))
(*.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)
-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)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 1 (* 3 x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal 1 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))
-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))
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
(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))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* -1 x)))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* (pow x 2) (+ 1/3 (* -1 x)))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* (pow x 2) (+ 1/3 (* -1 x)))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
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))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* x (- (* -3 x) 1)))
(fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (- (* 9 x) 3)) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) x #s(literal -1 binary64)) 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))
(- (* 9 x) 3)
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(- (* 9 x) 3)
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(* -3 (pow x 2))
(.f64 (.f64 x x) #s(literal -3 binary64))
(* (pow x 2) (- (* 9 x) 3))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* (pow x 2) (- (* 9 x) 3))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* (pow x 2) (- (* 9 x) 3))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 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 (+ 2/3 (* -1 x))) 1/9)
(fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))
(- (* x (+ 2/3 (* -1 x))) 1/9)
(fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -6 x))
(fma.f64 #s(literal -6 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 9 x) 6)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* 9 x) 6)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 1 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))
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 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(+ 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 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))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal 1/9 binary64)) x)
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x)) 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))))
(+.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)))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x (.f64 x x)) (neg.f64 x))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) #s(literal 1 binary64) x) (.f64 (neg.f64 x) x))
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(* x (- (* 1/27 (/ 1 x)) 1/9))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(* x (- (* 1/27 (/ 1 x)) 1/9))
(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)))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.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))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 9 (* 1/3 (/ 1 (pow x 3)))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) x) #s(literal -9 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (- 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(* x (- 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(* x (- 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(*.f64 (-.f64 #s(literal 2/3 binary64) x) x)
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 1 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))
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 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(+ 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 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) 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 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal 1/9 binary64)) x)
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x)) 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))))
(+.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 #s(literal 1/3 binary64) x) (.f64 x x))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x (.f64 x x)) (neg.f64 x))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal 1/3 binary64)) #s(literal 1 binary64) x) (.f64 (neg.f64 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 #s(literal 1/3 binary64) x) (.f64 x x))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.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))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9)))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) 3) x)) 9)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) x) #s(literal -9 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(*.f64 (-.f64 #s(literal 2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) 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 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -2/3 binary64)) x (*.f64 (neg.f64 x) x))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x)
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 1 binary64))

rewrite228.0ms (4.8%)

Memory

-16.5MiB live, 258.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	145
0	45	136
1	182	132
2	1679	132
0	8182	124

Stop Event

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

Counts

16 → 952

Calls

Call 1

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

Outputs
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eval320.0ms (6.8%)

Memory: 23.6MiB live, 406.5MiB allocated
Compiler: Compiled 41 048 to 3 112 computations (92.4% saved)

prune31.0ms (0.7%)

Memory

3.3MiB live, 89.4MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 423	3	1 426
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 426	6	1 432

Accuracy

100.0%

Counts

1 432 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
▶	47.6%	(/.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))) #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))))
▶	46.4%	(/.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)))
▶	46.4%	(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	46.6%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify121.0ms (2.6%)

Memory

6.5MiB live, 163.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	212
0	53	212
1	91	212
2	208	192
3	539	192
4	1436	192
5	3063	192
6	6041	192
0	8198	176

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64)))
#s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64))
(-.f64 x #s(literal 1/3 binary64))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
#s(literal 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)))
(/.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))) (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)
(*.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 (-.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))) #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))))
(.f64 (/.f64 (fma.f64 x x #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)))) (-.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 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(.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)
#s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))
(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))
#s(literal 2/3 binary64)

localize110.0ms (2.3%)

Memory

7.5MiB live, 119.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.203125	(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))
accuracy	0.21484375	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
accuracy	21.386352966087337	(/.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))) #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))))
accuracy	33.49325463022779	#s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) 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	0.22265625	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
accuracy	21.386352966087337	(/.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	34.690198695829	#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	0.04296875	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
accuracy	0.078125	(.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	21.378540466087337	(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
accuracy	34.693272496823404	#s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x))

Samples

89.0ms	249×	0	valid
2.0ms	4×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 188 to 26 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-sub: 31.0ms (39.7% of total)

ival-mult: 21.0ms (26.9% of total)

const: 19.0ms (24.3% of total)

ival-div: 3.0ms (3.8% of total)

ival-add: 2.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory

-23.5MiB live, 21.7MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify186.0ms (3.9%)

Memory

20.8MiB live, 224.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	1002
1	454	972
2	1310	972
3	4859	904
0	8542	818

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 162

Calls

Call 1

Inputs
1
(+ 1 (* -6 x))
(+ 1 (* x (- (* 9 x) 6)))
(+ 1 (* x (- (* 9 x) 6)))
-3
(- (* 9 x) 3)
(- (* 9 x) 3)
(- (* 9 x) 3)
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* x (- (* -3 x) 1)))
(+ 1/3 (* x (- (* x (- (* 9 x) 3)) 1)))
-1/9
(- (* 2/3 x) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 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 (+ 1/3 (* -1 x))))) 1/27)
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* -1/9 x))
(+ 1/27 (* -1/9 x))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1 x)))
(* (pow x 2) (+ 1/3 (* -1 x)))
(* (pow x 2) (+ 1/3 (* -1 x)))
-1/9
(- (* 2/3 x) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
-1/9
(- (* 2/3 x) 1/9)
(- (* 2/3 x) 1/9)
(- (* 2/3 x) 1/9)
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(* 9 x)
(* x (- 9 (* 3 (/ 1 x))))
(* x (- 9 (* 3 (/ 1 x))))
(* x (- 9 (* 3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x))))
(* (pow x 3) (- (+ 9 (* 1/3 (/ 1 (pow x 3)))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* 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))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* x (- (* 1/27 (/ 1 x)) 1/9))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(* 2/3 x)
(* x (- 2/3 (* 1/9 (/ 1 x))))
(* x (- 2/3 (* 1/9 (/ 1 x))))
(* x (- 2/3 (* 1/9 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))
(* 9 x)
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* 9 (pow x 3))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) 3) x)) 9)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) 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)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(* 1/9 x)
(* -1 (* x (- (* 1/27 (/ 1 x)) 1/9)))
(* -1 (* x (- (* 1/27 (/ 1 x)) 1/9)))
(* -1 (* x (- (* 1/27 (/ 1 x)) 1/9)))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) 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)))))
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)))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* 2/3 x)
(* -1 (* x (- (* 1/9 (/ 1 x)) 2/3)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 2/3)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 2/3)))

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

rewrite362.0ms (7.7%)

Memory

18.0MiB live, 209.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	180
0	53	180
1	187	176
2	1396	172
0	8303	162

Stop Event

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

Counts

14 → 587

Calls

Call 1

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

Outputs
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eval351.0ms (7.4%)

Memory: -8.9MiB live, 188.0MiB allocated
Compiler: Compiled 18 972 to 2 027 computations (89.3% saved)

prune34.0ms (0.7%)

Memory

1.4MiB live, 45.3MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	747	2	749
Fresh	0	0	0
Picked	3	0	3
Done	0	3	3
Total	750	5	755

Accuracy

100.0%

Counts

755 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
▶	45.9%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #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))))
▶	47.1%	(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	46.6%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify409.0ms (8.7%)

Memory

-15.6MiB live, 98.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))
cost-diff	0	#s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))
cost-diff	0	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #s(literal -1/27 binary64))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #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))))
cost-diff	0	#s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	137
0	35	137
1	68	137
2	163	125
3	456	125
4	1187	125
5	2255	125
6	4111	125
7	4893	125
8	5377	125
9	5749	125
10	5832	125
11	5948	125
12	6289	125
13	6305	125
14	6308	125
15	6328	125
16	6334	125
17	6334	125
18	6555	125
19	6615	125
20	6615	125
21	6615	125
22	6615	125
23	6663	125
0	6663	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))))
#s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))
#s(literal -6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #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)) #s(literal -1/27 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)))
(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))
#s(literal 2/3 binary64)
x
#s(literal -1/9 binary64)

Outputs
(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 #s(literal -6 binary64) x #s(literal 1 binary64))))
#s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64)))
#s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 #s(literal -6 binary64) x #s(literal 1 binary64)))
(fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -6 binary64) x #s(literal 1 binary64))
#s(literal -6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #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)) #s(literal -1/27 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)))
(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))
#s(literal 2/3 binary64)
x
#s(literal -1/9 binary64)

localize189.0ms (4%)

Memory

8.3MiB live, 136.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.203125	(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))
accuracy	21.386352966087337	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #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))))
accuracy	33.49325463022779	#s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))
accuracy	34.43200641511759	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #s(literal -1/27 binary64))
accuracy	0.0078125	(-.f64 #s(literal 1/3 binary64) x)
accuracy	21.378540466087337	(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))))
accuracy	33.48353123996853	#s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64)))
accuracy	34.693272496823404	#s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x))

Samples

51.0ms	239×	0	valid
3.0ms	8×	2	valid
3.0ms	9×	1	valid

Compiler

Compiled 109 to 27 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 22.0ms (47% of total)

const: 12.0ms (25.7% of total)

ival-sub: 5.0ms (10.7% of total)

ival-div: 3.0ms (6.4% of total)

ival-add: 2.0ms (4.3% of total)

adjust: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.8%)

Memory

-23.9MiB live, 12.9MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64)))) (patch (/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) (patch #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))) (patch #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #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)))) (patch (/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #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)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #s(literal -1/27 binary64)) (patch #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #s(literal -1/27 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) (patch #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)) (patch (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify257.0ms (5.5%)

Memory

29.3MiB live, 186.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	571
1	424	552
2	1231	548
3	4560	510
0	8406	465

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* x (- (* -3 x) 1)))
(+ 1/3 (* x (- (* x (- (* 9 x) 3)) 1)))
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
1
(+ 1 (* -6 x))
(+ 1 (* x (- (* 9 x) 6)))
(+ 1 (* x (- (* 9 x) 6)))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
-1/9
(- (* 2/3 x) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
-1/9
(- (* 2/3 x) 1/9)
(- (* 2/3 x) 1/9)
(- (* 2/3 x) 1/9)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x))))
(* (pow x 3) (- (+ 9 (* 1/3 (/ 1 (pow x 3)))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 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))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(* 2/3 x)
(* x (- 2/3 (* 1/9 (/ 1 x))))
(* x (- 2/3 (* 1/9 (/ 1 x))))
(* x (- 2/3 (* 1/9 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* 9 (pow x 3))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) 3) x)) 9)))
(* -1 x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) 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)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* 2/3 x)
(* -1 (* x (- (* 1/9 (/ 1 x)) 2/3)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 2/3)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 2/3)))

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

rewrite250.0ms (5.3%)

Memory

-0.4MiB live, 276.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	125
0	35	125
1	155	121
2	1192	107
0	8395	103

Stop Event

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

Counts

8 → 177

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))))
#s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 #s(literal 1/3 binary64) x)
#s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #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)) #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)))
(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))

Outputs
#<batchref>
#<batchref>
#<batchref>
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eval65.0ms (1.4%)

Memory: -30.9MiB live, 75.9MiB allocated
Compiler: Compiled 4 085 to 748 computations (81.7% saved)

prune11.0ms (0.2%)

Memory

-8.3MiB live, 29.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	269	5	274

Accuracy

100.0%

Counts

274 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
✓	45.9%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) #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))))
✓	47.1%	(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	46.6%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 184 to 83 computations (54.9% saved)

regimes8.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

12 → 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)) #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))))
(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (* (- x 1/3) (* (- x 1/3) 9)) (fma.f64 x #s(literal -6 binary64) #s(literal 1 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)))
(/.f64 #s(approx (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.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))) #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 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 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))

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

Calls

2 calls:

4.0ms	x
4.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

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

9.4MiB live, 9.4MiB 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
46.6%	1	`x`
46.6%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify27.0ms (0.6%)

Memory

-14.2MiB live, 62.1MiB 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))

soundness154.0ms (3.3%)

Memory

-22.6MiB live, 63.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	22	30
2	37	30
3	77	30
4	77	30
5	78	30
6	80	30
7	80	30
0	80	30
0	5	4
0	8	4
1	25	4
2	126	4
3	957	4
0	8643	4

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	saturated

Compiler

Compiled 14 to 14 computations (0% saved)

preprocess23.0ms (0.5%)

Memory: 8.7MiB live, 45.2MiB 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%)

sample537.0ms (11.4%)

explain69.0ms (1.5%)

preprocess13.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize25.0ms (0.5%)

series1.0ms (0%)

simplify4.0ms (0.1%)

rewrite188.0ms (4%)

eval61.0ms (1.3%)

prune10.0ms (0.2%)

simplify167.0ms (3.5%)

localize124.0ms (2.6%)

series58.0ms (1.2%)

simplify262.0ms (5.5%)

rewrite228.0ms (4.8%)

eval320.0ms (6.8%)

prune31.0ms (0.7%)

simplify121.0ms (2.6%)

localize110.0ms (2.3%)

series20.0ms (0.4%)

simplify186.0ms (3.9%)

rewrite362.0ms (7.7%)

eval351.0ms (7.4%)

prune34.0ms (0.7%)

simplify409.0ms (8.7%)

localize189.0ms (4%)

series36.0ms (0.8%)

simplify257.0ms (5.5%)

rewrite250.0ms (5.3%)

eval65.0ms (1.4%)

prune11.0ms (0.2%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

simplify27.0ms (0.6%)

soundness154.0ms (3.3%)

preprocess23.0ms (0.5%)

end0.0ms (0%)

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