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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample399.0ms (15.9%)

Memory

167.1MiB live, 167.1MiB allocated

Samples

225.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-div: 60.0ms (54.6% of total)

ival-sub: 35.0ms (31.9% of total)

exact: 7.0ms (6.4% of total)

ival-true: 5.0ms (4.6% of total)

ival-assert: 3.0ms (2.7% of total)

Bogosity

explain55.0ms (2.2%)

Memory

29.3MiB live, 29.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 53 to 34 computations (35.8% saved)

Precisions

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

ival-div: 4.0ms (54.4% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.6%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

simplify2.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize12.0ms (0.5%)

Memory

5.8MiB live, 5.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.01171875	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

8.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (58.4% of total)

ival-sub: 1.0ms (29.2% 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

0.3MiB live, 0.3MiB allocated

Counts

2 → 5

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

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)))

simplify12.0ms (0.5%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	32	11
2	75	11
3	158	11
4	412	11
5	523	11
6	576	11
7	599	11
8	601	11
0	601	11

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 4

Calls

Call 1

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

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

rewrite129.0ms (5.1%)

Memory

51.6MiB live, 51.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 313

Calls

Call 1

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

Outputs
#s(literal 1/3 binary64)
(.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/81 binary64) (.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1/729 binary64) (.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/19683 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 x #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64)))) (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (.f64 x x)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x))))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x))))))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64)))
(+.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 x #s(literal -1/3 binary64))

eval30.0ms (1.2%)

Memory: 27.1MiB live, 27.1MiB allocated
Compiler: Compiled 8 075 to 763 computations (90.6% saved)

prune4.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	311	4	315
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	312	4	316

Accuracy

100.0%

Counts

316 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.4%	(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶	68.4%	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x)))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	51.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 51 to 31 computations (39.2% saved)

simplify98.0ms (3.9%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	128
0	38	128
1	69	128
2	173	112
3	548	111
4	1603	111
5	7139	111
0	8660	108

Stop Event

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

Calls

Call 1

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

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

localize63.0ms (2.5%)

Memory

28.0MiB live, 28.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
accuracy	0.11328125	(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	12.846357203537098	(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
accuracy	13.028292552008024	(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	0.029628759768442016	(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
accuracy	0.14453125	(.f64 (.f64 x x) (-.f64 #s(literal -1/3 binary64) x))
accuracy	0.19140625	(*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
accuracy	19.67301911001023	(/.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	0.01171875	(-.f64 x #s(literal 1/3 binary64))
accuracy	31.309037085468788	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Samples

44.0ms	247×	0	valid
2.0ms	4×	2	valid
2.0ms	5×	1	valid

Compiler

Compiled 266 to 51 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

const: 14.0ms (37.8% of total)

ival-mult: 8.0ms (21.6% of total)

ival-div: 7.0ms (18.9% of total)

ival-sub: 5.0ms (13.5% of total)

ival-add: 2.0ms (5.4% of total)

adjust: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.4%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

13 → 55

Calls

Call 1

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

Outputs
-1/3
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
-1/27
(- (* -1/9 x) 1/27)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -1 x) 1/3))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
1/3
(+ 1/3 x)
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- x (/ 1 3)) (- 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 (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (- x -1/3) (* (- x -1/3) (- -1/3 x)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
3.0ms	x	@	inf	((- x (/ 1 3)) (- 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 (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (- x -1/3) (* (- x -1/3) (- -1/3 x)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))
3.0ms	x	@	0	((- x (/ 1 3)) (- 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 (+ (* x (- x -1/3)) 1/9)) (+ (* x (- x -1/3)) 1/9) (- x -1/3) (* (- x -1/3) (- -1/3 x)) (+ (* (* x x) (/ x (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9))) (/ -1/27 (+ (* x (- x -1/3)) 1/9)))

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify103.0ms (4.1%)

Memory

31.1MiB live, 31.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	466
1	542	454
2	1464	438
3	4795	425
0	8524	400

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

Calls

Call 1

Inputs
-1/3
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
-1/27
(- (* -1/9 x) 1/27)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -1 x) 1/3))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
1/3
(+ 1/3 x)
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
(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))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* -1 x) 1/3))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(- (* -2/3 x) 1/9)
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) 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)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/3 binary64)) x)) x) x)
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/27 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (.f64 x x)) #s(literal 1/81 binary64)) x)) (.f64 x x))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) #s(literal 1/3 binary64)) x)) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) #s(literal 1/27 binary64)) (*.f64 x x))

rewrite128.0ms (5.1%)

Memory

59.4MiB live, 59.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	109
0	38	109
1	154	108
2	1309	107
0	8264	104

Stop Event

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

Counts

13 → 605

Calls

Call 1

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

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

eval83.0ms (3.3%)

Memory: 72.9MiB live, 72.9MiB allocated
Compiler: Compiled 27 200 to 2 567 computations (90.6% saved)

prune9.0ms (0.4%)

Memory

28.3MiB live, 28.3MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	786	2	788
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	788	4	792

Accuracy

100.0%

Counts

792 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶	51.0%	(/.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)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	51.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 61 to 46 computations (24.6% saved)

simplify216.0ms (8.6%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	129
0	41	129
1	67	129
2	127	121
3	291	121
4	602	121
5	1315	121
6	2481	121
7	3748	121
8	4168	121
9	4280	121
10	4395	121
11	4509	121
12	4541	121
13	4731	121
14	4880	121
15	4935	121
16	4935	121
17	4947	121
18	4949	121
19	4949	121
20	4962	121
0	4962	117

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (2.4%)

Memory

26.7MiB live, 26.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
accuracy	0.11328125	(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	12.846357203537098	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
accuracy	31.096175358398238	#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
accuracy	0.029628759768442016	(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
accuracy	0.16796875	(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
accuracy	19.67301911001023	(/.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	31.72670033047772	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))

Samples

44.0ms	247×	0	valid
2.0ms	4×	2	valid
2.0ms	5×	1	valid

Compiler

Compiled 251 to 56 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

const: 14.0ms (37.7% of total)

ival-mult: 12.0ms (32.3% of total)

ival-div: 5.0ms (13.5% of total)

ival-sub: 3.0ms (8.1% of total)

ival-add: 3.0ms (8.1% 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)

series5.0ms (0.2%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

10 → 48

Calls

Call 1

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

Outputs
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
-1/3
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* 1/9 x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify97.0ms (3.8%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	442
1	524	429
2	1407	413
3	4702	400
0	8392	376

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
-1/3
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* 1/9 x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))

Outputs
-1/9
#s(literal -1/9 binary64)
(- (* -2/3 x) 1/9)
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))
(- (* x (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/3 binary64)) x)) x) x)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x))
(* 1/9 x)
(*.f64 #s(literal 1/9 binary64) x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) x)
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/27 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (.f64 x x)) #s(literal 1/81 binary64)) x)) (.f64 x x))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) #s(literal 1/3 binary64)) x)) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) #s(literal 1/27 binary64)) (*.f64 x x))

rewrite132.0ms (5.3%)

Memory

51.7MiB live, 51.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	111
0	41	111
1	159	111
2	1205	101
0	8639	99

Stop Event

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

Counts

10 → 402

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))
(.f64 (.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(.f64 (.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))
(.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 x #s(literal -1/3 binary64)))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (*.f64 (-.f64 #s(literal -1/3 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (.f64 (-.f64 #s(literal -1/3 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal -1/3 binary64) x)) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal -1/3 binary64) x)))) (-.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64)) (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64)))) (-.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (.f64 (-.f64 #s(literal -1/3 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (.f64 (-.f64 #s(literal -1/3 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal -1/3 binary64) x)) (.f64 #s(literal 1/3 binary64) (-.f64 #s(literal -1/3 binary64) x))) (.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal -1/3 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64)) (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64))) (.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) (*.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1/3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/3 binary64) x))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (neg.f64 (*.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 x #s(literal -1/3 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1/3 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
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(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
(.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))))
(.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))) (.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (fma.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (-.f64 x #s(literal -1/3 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)))) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))))) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (-.f64 x #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))))))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal -1/9 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (-.f64 x #s(literal -1/3 binary64)) x)) (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))))) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (*.f64 x (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal -1/9 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) x) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1/9 binary64))
(fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) x) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal 1/9 binary64))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal -1/9 binary64))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1/9 binary64))
(fma.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal 1/9 binary64))
(fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)))))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (-.f64 x #s(literal -1/3 binary64)) x))) (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal -1/9 binary64)))
(+.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x)) #s(literal 1/9 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)))))
(+.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1/3 binary64) x) x)))
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))

eval65.0ms (2.6%)

Memory: 42.8MiB live, 42.8MiB allocated
Compiler: Compiled 17 510 to 1 424 computations (91.9% saved)

prune13.0ms (0.5%)

Memory

16.2MiB live, 16.2MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	437	2	439
Fresh	0	0	0
Picked	2	0	2
Done	0	2	2
Total	439	4	443

Accuracy

100.0%

Counts

443 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ ( x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
▶	51.8%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	51.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 72 to 47 computations (34.7% saved)

simplify213.0ms (8.5%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	159
0	43	159
1	70	159
2	125	151
3	277	151
4	578	151
5	1283	151
6	2400	151
7	3464	151
8	3715	151
9	3789	151
10	3886	151
11	3973	151
12	3997	151
13	4116	151
14	4241	151
15	4322	151
16	4348	151
17	4367	151
18	4379	151
19	4386	151
20	4388	151
0	4388	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (3.6%)

Memory

30.9MiB live, 30.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.140625	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
accuracy	12.846357203537098	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ ( x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
accuracy	30.588555877738926	#s(approx (+ (* x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
accuracy	31.096175358398238	#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
accuracy	0.16796875	(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
accuracy	19.67301911001023	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))))
accuracy	30.580402975417737	#s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))
accuracy	31.72670033047772	#s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))

Samples

66.0ms	247×	0	valid
3.0ms	4×	2	valid
3.0ms	5×	1	valid

Compiler

Compiled 281 to 65 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

const: 23.0ms (40.2% of total)

ival-mult: 17.0ms (29.7% of total)

ival-div: 6.0ms (10.5% of total)

ival-add: 6.0ms (10.5% of total)

ival-sub: 4.0ms (7% of total)

adjust: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

10 → 42

Calls

Call 1

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

Outputs
-1/3
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* 1/9 x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify122.0ms (4.8%)

Memory

31.5MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	335
1	418	326
2	1113	304
3	3411	298
4	7794	298
0	8279	276

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

Inputs
-1/3
(- x 1/3)
1/27
(+ 1/27 (* 1/9 x))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
-1/9
(- (* -2/3 x) 1/9)
(- (* x (- (* -1 x) 2/3)) 1/9)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(* 1/9 x)
(* x (+ 1/9 (* 1/27 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/9 x))
(fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* -1/3 x))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (+ 1/9 (* x (- (* -1 x) 1/3)))))
(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 (- (* -1 x) 2/3)) 1/9)
(fma.f64 (-.f64 #s(literal -2/3 binary64) x) x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal -1/3 binary64) x) x) x)
(* (pow x 3) (- (/ 1/9 (pow x 2)) (+ 1 (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/27 (/ 1 (pow x 3)))) (+ 1 (* 1/3 (/ 1 x)))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (.f64 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))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2/3 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2/3 (* 1/9 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x (*.f64 (neg.f64 x) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/27 binary64) x) x)) x)) x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -1/3 binary64)) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)))))
(*.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x))) 1/3) x)))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x)) (.f64 x x))
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) x) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/27 binary64) x) x)) x)) x)

rewrite144.0ms (5.7%)

Memory

48.0MiB live, 48.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	131
0	43	131
1	187	131
2	1403	131
0	8380	125

Stop Event

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

Counts

10 → 169

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(approx ( (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx ( (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (- ( (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))))
(.f64 (pow.f64 #s(approx ( (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx ( (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(literal -1 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))))
(.f64 #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))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)))))
(.f64 (neg.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 #s(literal -1 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) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (pow.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))
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eval32.0ms (1.3%)

Memory: 20.2MiB live, 20.2MiB allocated
Compiler: Compiled 9 439 to 750 computations (92.1% saved)

prune9.0ms (0.4%)

Memory

9.1MiB live, 9.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	198	4	202

Accuracy

100.0%

Counts

202 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.4%	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) #s(approx (+ ( x (- x -1/3)) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
✓	51.8%	(/.f64 #s(approx (- (* (* x x) (- -1/3 x)) (* (- x -1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- x -1/3) (- -1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	51.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 241 to 104 computations (56.8% saved)

regimes8.0ms (0.3%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(-.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)

regimes4.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB 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:

2.0ms	x
1.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
51.1%	1	`x`
51.1%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify28.0ms (1.1%)

Memory

18.2MiB live, 18.2MiB 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))

soundness93.0ms (3.7%)

Memory

1.0MiB live, 1.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	32	11
2	75	11
3	158	11
4	412	11
5	523	11
6	576	11
7	599	11
8	601	11
0	601	11
0	5	4
0	8	4
1	27	4
2	129	4
3	979	4
0	8557	4

Stop Event

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess21.0ms (0.8%)

Memory: 11.0MiB live, 11.0MiB allocated
Compiler: Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample399.0ms (15.9%)

explain55.0ms (2.2%)

preprocess15.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize12.0ms (0.5%)

series1.0ms (0%)

simplify12.0ms (0.5%)

rewrite129.0ms (5.1%)

eval30.0ms (1.2%)

prune4.0ms (0.2%)

simplify98.0ms (3.9%)

localize63.0ms (2.5%)

series9.0ms (0.4%)

simplify103.0ms (4.1%)

rewrite128.0ms (5.1%)

eval83.0ms (3.3%)

prune9.0ms (0.4%)

simplify216.0ms (8.6%)

localize61.0ms (2.4%)

series5.0ms (0.2%)

simplify97.0ms (3.8%)

rewrite132.0ms (5.3%)

eval65.0ms (2.6%)

prune13.0ms (0.5%)

simplify213.0ms (8.5%)

localize91.0ms (3.6%)

series7.0ms (0.3%)

simplify122.0ms (4.8%)

rewrite144.0ms (5.7%)

eval32.0ms (1.3%)

prune9.0ms (0.4%)

regimes8.0ms (0.3%)

regimes4.0ms (0.1%)

simplify28.0ms (1.1%)

soundness93.0ms (3.7%)

preprocess21.0ms (0.8%)

end0.0ms (0%)

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