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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.3s (21.1%)

Memory

20.4MiB live, 886.5MiB allocated

Samples

693.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 510.0ms

ival-div: 451.0ms (88.4% of total)

ival-sub: 43.0ms (8.4% of total)

exact: 7.0ms (1.4% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess21.0ms (0.4%)

Memory

-21.7MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`distribute-lft-neg-in`
14×	`sub-neg`
12×	`cancel-sign-sub-inv`
10×	`associate--r+`
10×	`distribute-neg-in`

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))

explain57.0ms (1%)

Memory

8.0MiB live, 121.2MiB 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

19.0ms

512×

valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

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

ival-div: 4.0ms (50.1% of total)

ival-sub: 2.0ms (25% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB 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))

Rules

4×	`lower-+.f64`
4×	`lower-+.f32`
2×	`lift-/.f64`
2×	`1-exp`
2×	`lift--.f64`

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)

localize21.0ms (0.4%)

Memory

-4.2MiB live, 40.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 7.0ms (72.6% of total)

ival-sub: 2.0ms (20.7% 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

2.6MiB live, 2.6MiB allocated

Counts

2 → 12

Calls

Call 1

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

Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>

Calls

3 calls:

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

rewrite364.0ms (6.1%)

Memory

-13.0MiB live, 579.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
4 474×	`lower-*.f64`
4 474×	`lower-*.f32`
3 944×	`lower-/.f64`

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

simplify23.0ms (0.4%)

Memory

3.7MiB live, 45.5MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
144×	`lower-*.f64`
144×	`lower-*.f32`
96×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

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

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

eval38.0ms (0.6%)

Memory: 17.9MiB live, 93.5MiB allocated
Compiler: Compiled 10 399 to 762 computations (92.7% saved)

prune119.0ms (2%)

Memory

-16.3MiB live, 75.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	319	4	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	4	324

Accuracy

100.0%

Counts

324 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
▶	74.5%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	50.9%	#s(literal -1/3 binary64)

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify333.0ms (5.5%)

Memory

-11.1MiB live, 65.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
✓	cost-diff	0	(-.f64 #s(literal -1/3 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
✓	cost-diff	0	(-.f64 x #s(literal 1/3 binary64))

Rules

1 304×	`lower-fma.f32`
1 298×	`lower-fma.f64`
744×	`lower-*.f32`
742×	`lower-*.f64`
446×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	76
0	32	74
1	54	72
2	90	72
3	156	71
4	245	71
5	365	70
6	652	70
7	954	70
8	1277	70
9	1485	70
10	1538	70
11	1652	70
12	1941	70
13	2147	70
14	2260	70
15	2490	70
16	2510	70
17	2510	70
0	2510	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize200.0ms (3.3%)

Memory

23.5MiB live, 102.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓	accuracy	67.2%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1/9 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
✓	accuracy	75.3%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
✓	accuracy	100.0%	(-.f64 x #s(literal 1/3 binary64))

Samples

179.0ms

256×

valid

Compiler

Compiled 85 to 23 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-sub: 127.0ms (78% of total)

const: 19.0ms (11.7% of total)

ival-div: 7.0ms (4.3% of total)

ival-mult: 5.0ms (3.1% of total)

ival-add: 4.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.9%)

Memory

-32.1MiB live, 6.3MiB allocated

Counts

11 → 132

Calls

Call 1

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

Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt -1/3>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt -9>
#<alt (- (* -81 (pow x 2)) 9)>
#<alt (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/27>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
1.0ms	x	@	0	(/ (/ -1 (- -1/3 x)) (/ 1 (+ (* x x) -1/9)))
1.0ms	x	@	-inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
1.0ms	x	@	0	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	inf	(/ (/ -1 (- -1/3 x)) (/ 1 (+ (* x x) -1/9)))

rewrite686.0ms (11.4%)

Memory

7.3MiB live, 544.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 374×	`lower-fma.f32`
6 368×	`lower-fma.f64`
5 026×	`lower-*.f32`
5 024×	`lower-*.f64`
3 930×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
0	32	44
1	150	44
2	1084	44
0	9015	44

Stop Event

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

Counts

11 → 1 507

Calls

Call 1

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

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

simplify279.0ms (4.6%)

Memory

-14.2MiB live, 453.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 100×	`lower-fma.f64`
8 100×	`lower-fma.f32`
3 066×	`lower-*.f64`
3 066×	`lower-*.f32`
1 712×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	637
1	319	629
2	767	612
3	2205	608
4	5231	608
0	8118	580

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 124

Calls

Call 1

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

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

eval252.0ms (4.2%)

Memory: 23.9MiB live, 529.7MiB allocated
Compiler: Compiled 44 889 to 2 752 computations (93.9% saved)

prune136.0ms (2.3%)

Memory

-2.7MiB live, 398.8MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 629	2	1 631
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 630	5	1 635

Accuracy

100.0%

Counts

1 635 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.2%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
▶	50.8%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -9 binary64))
▶	51.5%	(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	50.9%	#s(literal -1/3 binary64)

Compiler

Compiled 37 to 28 computations (24.3% saved)

simplify15.0ms (0.2%)

Memory

4.0MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal -1/3 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓	cost-diff	704	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -9 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	0	(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))

Rules

112×	`lower-+.f32`
110×	`lower-+.f64`
104×	`lower-fma.f32`
102×	`lower-fma.f64`
62×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	20	40
1	32	38
2	55	38
3	76	38
4	95	38
5	116	38
6	162	38
7	217	38
8	248	38
9	258	38
10	266	38
11	274	38
0	274	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (1.2%)

Memory

20.1MiB live, 138.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal -1/3 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))

Samples

58.0ms

256×

valid

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

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

ival-sub: 23.0ms (48.4% of total)

const: 12.0ms (25.2% of total)

ival-div: 6.0ms (12.6% of total)

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

ival-mult: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (/ -1 (- -1/3 x)) -9)
0.0ms	x	@	inf	(/ -1/27 (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	-inf	(/ -1/27 (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	0	(/ -1/27 (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	-inf	(/ (/ -1 (- -1/3 x)) -9)

rewrite312.0ms (5.2%)

Memory

-35.3MiB live, 362.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 698×	`lower-*.f64`
3 698×	`lower-*.f32`
3 642×	`lower-fma.f32`
3 640×	`lower-fma.f64`
2 538×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
0	20	32
1	91	30
2	584	30
3	5813	30
0	8202	30

Stop Event

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

Counts

6 → 473

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 x #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(+.f64 (.f64 (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))) (.f64 (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64))))
(fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(fma.f64 (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (.f64 (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 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 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 27 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)))
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -27 binary64))
(/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))))
(/.f64 (.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/243 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))
(/.f64 (.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))))
(/.f64 (.f64 #s(literal -1/27 binary64) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)) (+.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (.f64 #s(literal -1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
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(/.f64 (+.f64 #s(literal 1/729 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 x (.f64 x x)))) (*.f64 (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 (-.f64 (.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -1/19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.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)))) (/.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 (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))) (fma.f64 (/.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))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (.f64 x (.f64 x x)) (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 (.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))))
(/.f64 (-.f64 (.f64 (.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 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))) (.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.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))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.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)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (.f64 x (.f64 x x)) (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 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (.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 (.f64 x x) (+.f64 x #s(literal -1/3 binary64))))) (+.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -1/19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #s(literal 1/729 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/729 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal 1/9 binary64)))
(pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(*.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 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal -1/3 binary64)))))

simplify392.0ms (6.5%)

Memory

-17.1MiB live, 527.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 228×	`lower-fma.f64`
11 228×	`lower-fma.f32`
2 874×	`lower-+.f64`
2 874×	`lower-+.f32`
2 740×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	495
1	453	475
2	1110	454
3	3038	450
4	7611	450
0	8232	429

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

eval70.0ms (1.2%)

Memory: 11.6MiB live, 164.9MiB allocated
Compiler: Compiled 12 050 to 1 588 computations (86.8% saved)

prune69.0ms (1.2%)

Memory

-5.8MiB live, 156.0MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	541	2	543
Fresh	0	0	0
Picked	2	0	2
Done	1	2	3
Total	544	4	548

Accuracy

100.0%

Counts

548 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #s(literal -9 binary64))
▶	50.8%	(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	50.9%	#s(literal -1/3 binary64)

Compiler

Compiled 20 to 16 computations (20% saved)

simplify6.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓	cost-diff	(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #s(literal -9 binary64))
✓	cost-diff	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
✓	cost-diff	(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))

Rules

8×	`lower-*.f64`
8×	`lower-+.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`
8×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	16	27
1	20	27
0	20	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1%)

Memory

23.0MiB live, 60.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓	accuracy	99.3%	(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #s(literal -9 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))

Samples

26.0ms	253×	0	valid
22.0ms	2×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 24.0ms (59.8% of total)

const: 9.0ms (22.4% of total)

ival-div: 4.0ms (10% of total)

ival-add: 2.0ms (5% 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)

series3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- (* x (+ 1 (* -3 x))) 1/3)>
#<alt (- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)>
#<alt (/ -1/9 x)>
#<alt (/ (- (* 1/27 (/ 1 x)) 1/9) x)>
#<alt (/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ (* x -9) 3) -9)
0.0ms	x	@	0	(/ (+ (* x -9) 3) -9)
0.0ms	x	@	-inf	(/ (+ (* x -9) 3) -9)
0.0ms	x	@	0	(/ -1/27 (+ (* x 1/3) 1/9))
0.0ms	x	@	0	(+ (* x 1/3) 1/9)

rewrite321.0ms (5.3%)

Memory

2.2MiB live, 518.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 270×	`lower-fma.f32`
4 266×	`lower-fma.f64`
4 234×	`lower-*.f64`
4 234×	`lower-*.f32`
3 790×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
0	16	20
1	65	20
2	387	20
3	3324	20
0	8140	20

Stop Event

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

Counts

4 → 484

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64))) (.f64 x #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64)))) (.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64)))) (.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal -27 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64))) (.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64)))))
(fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))))
(fma.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)) #s(literal 1/729 binary64)))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64))) (.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal -27 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 27 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) #s(literal -27 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))) #s(literal 27 binary64))
(/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))))
(/.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64))))
(/.f64 (.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64))) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64)))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (.f64 x #s(literal 1/3 binary64)) #s(literal 1/243 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64)))
(/.f64 (.f64 #s(literal -1/27 binary64) (fma.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64))) (.f64 #s(literal 1/729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) (fma.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 (.f64 #s(literal -1/27 binary64) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64)) (.f64 x #s(literal 1/27 binary64))))) (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal 1/729 binary64)) (+.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64)) (.f64 x #s(literal 1/27 binary64)))))
(/.f64 (.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64))) (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (.f64 #s(literal -1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)) #s(literal -1/729 binary64))) (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/81 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/81 binary64)))) (fma.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64)) (fma.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 531441 binary64)))) (fma.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (.f64 x #s(literal -27 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -27 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -27 binary64) #s(literal 9 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal -27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 #s(literal -81 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (.f64 x #s(literal 9 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 729 binary64) (.f64 x x) #s(literal 81 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -387420489 binary64) #s(literal 19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal 729 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -19683 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -27 binary64)) #s(literal 9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) #s(literal -729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))))

simplify315.0ms (5.2%)

Memory

-22.5MiB live, 408.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 466×	`lower-fma.f64`
9 466×	`lower-fma.f32`
2 314×	`lower-*.f64`
2 314×	`lower-*.f32`
1 800×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	244
1	235	236
2	525	236
3	1348	232
4	3152	232
5	6120	232
6	7280	232
7	7771	232
8	7921	232
0	8002	209

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

eval267.0ms (4.4%)

Memory: 11.5MiB live, 126.8MiB allocated
Compiler: Compiled 11 095 to 1 462 computations (86.8% saved)

prune77.0ms (1.3%)

Memory

23.0MiB live, 139.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	530	4	534

Accuracy

100.0%

Counts

534 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #s(literal -9 binary64))
✓	50.8%	(/.f64 #s(literal -1/27 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	50.9%	#s(literal -1/3 binary64)

Compiler

Compiled 82 to 45 computations (45.1% saved)

regimes9.0ms (0.1%)

Memory

-29.0MiB live, 13.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	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 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)

Outputs
#s(literal -1/3 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.9%	1	`x`
50.9%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	11	4
3	13	4
4	14	4

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness117.0ms (1.9%)

Memory

18.7MiB live, 94.9MiB allocated

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
4 474×	`lower-*.f64`
4 474×	`lower-*.f32`
3 944×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	32	30
2	75	30
3	158	30
4	412	30
5	523	30
6	576	30
7	599	30
8	601	30
0	601	30
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 11 to 9 computations (18.2% saved)

preprocess46.0ms (0.8%)

Memory: 4.5MiB live, 82.3MiB allocated
Compiler: Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	40
0	20	40
1	32	38
2	55	38
3	76	38
4	95	38
5	116	38
6	162	38
7	217	38
8	248	38
9	258	38
10	266	38
11	274	38
0	274	38

Iter	Nodes	Cost
0	13	40
0	20	40
1	32	38
2	55	38
3	76	38
4	95	38
5	116	38
6	162	38
7	217	38
8	248	38
9	258	38
10	266	38
11	274	38
0	274	38

analyze0.0ms (0%)

sample1.3s (21.1%)

preprocess21.0ms (0.4%)

explain57.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize21.0ms (0.4%)

series1.0ms (0%)

rewrite364.0ms (6.1%)

simplify23.0ms (0.4%)

eval38.0ms (0.6%)

prune119.0ms (2%)

simplify333.0ms (5.5%)

localize200.0ms (3.3%)

series52.0ms (0.9%)

rewrite686.0ms (11.4%)

simplify279.0ms (4.6%)

eval252.0ms (4.2%)

prune136.0ms (2.3%)

simplify15.0ms (0.2%)

localize72.0ms (1.2%)

series2.0ms (0%)

rewrite312.0ms (5.2%)

simplify392.0ms (6.5%)

eval70.0ms (1.2%)

prune69.0ms (1.2%)

simplify6.0ms (0.1%)

localize60.0ms (1%)

series3.0ms (0%)

rewrite321.0ms (5.3%)

simplify315.0ms (5.2%)

eval267.0ms (4.4%)

prune77.0ms (1.3%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness117.0ms (1.9%)

preprocess46.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	40
0	20	40
1	32	38
2	55	38
3	76	38
4	95	38
5	116	38
6	162	38
7	217	38
8	248	38
9	258	38
10	266	38
11	274	38
0	274	38