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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample963.0ms (17.3%)

Memory

52.2MiB live, 913.6MiB allocated

Samples

681.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-div: 251.0ms (76.1% of total)

ival-add: 62.0ms (18.8% of total)

exact: 8.0ms (2.4% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 4.0ms (1.2% of total)

Bogosity

preprocess18.0ms (0.3%)

Memory

-6.6MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`associate--r+`
12×	`sub-neg`
10×	`distribute-lft-neg-in`
10×	`associate-+l-`
10×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	20	6
2	42	6
3	74	6
4	96	6
5	106	6
0	5	3
0	8	3
1	11	3
0	11	3

Stop Event

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

Calls

Call 1

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

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

explain60.0ms (1.1%)

Memory

6.7MiB live, 129.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

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-add: 2.0ms (25% of total)

exact: 1.0ms (12.5% of total)

ival-true: 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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (0.1%)

Memory

-28.1MiB live, 10.7MiB 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-+.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`
2×	`lower-+.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	8	7
1	11	7
0	11	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

-5.9MiB live, 37.7MiB 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

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (51.4% of total)

ival-add: 1.0ms (25.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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 (+ 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

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))

rewrite333.0ms (6%)

Memory

10.9MiB live, 734.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 708×	`lower-fma.f64`
8 708×	`lower-fma.f32`
5 116×	`lower-*.f64`
5 116×	`lower-*.f32`
3 868×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 265

Calls

Call 1

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

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

simplify7.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`lower-*.f64`
36×	`lower-*.f32`
16×	`lower-/.f32`
16×	`associate-r`
16×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

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

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

eval33.0ms (0.6%)

Memory: -31.1MiB live, 85.5MiB allocated
Compiler: Compiled 7 850 to 630 computations (92% saved)

prune30.0ms (0.5%)

Memory

11.4MiB live, 90.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	272	3	275
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	3	276

Accuracy

100.0%

Counts

276 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.8%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	52.7%	#s(literal 1/3 binary64)

Status

Accuracy

Program

▶

59.8%

(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))

▶

100.0%

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

▶

52.7%

#s(literal 1/3 binary64)

Compiler

Compiled 33 to 18 computations (45.5% saved)

simplify160.0ms (2.9%)

Memory

1.6MiB live, 208.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64))
✓	cost-diff	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))
✓	cost-diff	(-.f64 x #s(literal -1/3 binary64))

Rules

5 438×	`lower-fma.f32`
5 432×	`lower-fma.f64`
1 700×	`lower-+.f32`
1 698×	`lower-+.f64`
1 174×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	86
0	26	76
1	57	70
2	122	70
3	267	70
4	718	70
5	1454	70
6	1951	70
7	2448	70
8	2825	70
9	2957	70
10	2977	70
11	2977	70
12	3162	70
0	3162	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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal -1/729 binary64)
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(fma.f64 x x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
#s(literal 1/81 binary64)
(+.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)

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

localize62.0ms (1.1%)

Memory

3.2MiB live, 117.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.2%	(.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)))
✓	accuracy	61.2%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))
✓	accuracy	100.0%	(-.f64 x #s(literal -1/3 binary64))

Samples

42.0ms

256×

valid

Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

const: 16.0ms (49.4% of total)

ival-mult: 7.0ms (21.6% of total)

ival-add: 6.0ms (18.5% of total)

ival-div: 2.0ms (6.2% of total)

ival-sub: 1.0ms (3.1% of total)

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

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

series6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (-.f64 x #s(literal -1/3 binary64))>
#<alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))>
#<alt (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64)))>

Outputs
#<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 (+ 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 -1/729>
#<alt (- (pow x 6) 1/729)>
#<alt (- (pow x 6) 1/729)>
#<alt (- (pow x 6) 1/729)>
#<alt (pow x 6)>
#<alt (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<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 -1/243>
#<alt (- (* 1/81 x) 1/243)>
#<alt (- (* x (+ 1/81 (* -1/27 x))) 1/243)>
#<alt (- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)>
#<alt (pow x 5)>
#<alt (* (pow x 5) (- 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))>
#<alt (pow x 5)>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ (* (* x (* x x)) (* x (* x x))) -1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (+ x -1/3)))
1.0ms	x	@	0	(/ (+ (* (* x (* x x)) (* x (* x x))) -1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (+ x -1/3)))
1.0ms	x	@	-inf	(/ (+ (* (* x (* x x)) (* x (* x x))) -1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (+ x -1/3)))
0.0ms	x	@	inf	(+ (* (* x (* x x)) (* x (* x x))) -1/729)
0.0ms	x	@	-inf	(* x (* x x))

rewrite558.0ms (10%)

Memory

-3.3MiB live, 631.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 048×	`lower-fma.f32`
9 042×	`lower-fma.f64`
5 464×	`lower-*.f32`
5 458×	`lower-*.f64`
4 008×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
0	25	32
1	120	30
2	912	30
0	8411	30

Stop Event

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

Counts

6 → 733

Calls

Call 1

Inputs
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64)))

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

simplify377.0ms (6.8%)

Memory

6.7MiB live, 407.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 956×	`lower-fma.f64`
8 956×	`lower-fma.f32`
2 428×	`lower-*.f64`
2 428×	`lower-*.f32`
1 570×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	308
1	195	300
2	468	300
3	1213	296
4	3186	296
5	4997	296
6	6057	296
7	6816	296
8	7305	296
9	7484	296
10	7506	296
0	8004	290

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 68

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
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))))
-1/729
(- (pow x 6) 1/729)
(- (pow x 6) 1/729)
(- (pow x 6) 1/729)
(pow x 6)
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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)
-1/243
(- (* 1/81 x) 1/243)
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
(pow x 5)
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(pow x 5)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
-1/729
#s(literal -1/729 binary64)
(- (pow x 6) 1/729)
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))
(- (pow x 6) 1/729)
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))
(- (pow x 6) 1/729)
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.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)
(pow x 2)
(*.f64 x x)
-1/243
#s(literal -1/243 binary64)
(- (* 1/81 x) 1/243)
(fma.f64 x #s(literal 1/81 binary64) #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(fma.f64 x (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)) #s(literal 1/81 binary64)) #s(literal -1/243 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.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)))

eval174.0ms (3.1%)

Memory: -10.2MiB live, 216.1MiB allocated
Compiler: Compiled 37 138 to 1 604 computations (95.7% saved)

prune81.0ms (1.5%)

Memory

23.7MiB live, 184.0MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	862	1	863
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	863	3	866

Accuracy

100.0%

Counts

866 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

52.5%

(/.f64 #s(literal -1/729 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))

✓

100.0%

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

✓

52.7%

#s(literal 1/3 binary64)

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify145.0ms (2.6%)

Memory

-39.8MiB live, 177.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
✓	cost-diff	(.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)))
✓	cost-diff	(/.f64 #s(literal -1/729 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))

Rules

5 428×	`lower-fma.f32`
5 424×	`lower-fma.f64`
1 692×	`lower-+.f32`
1 690×	`lower-+.f64`
1 286×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
0	18	52
1	38	52
2	91	52
3	241	52
4	719	52
5	1456	52
6	1964	52
7	2461	52
8	2838	52
9	2970	52
10	2990	52
11	2990	52
12	3234	52
0	3234	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal -1/729 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))
#s(literal -1/729 binary64)
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(*.f64 x x)
x
(fma.f64 x x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
#s(literal 1/81 binary64)
(+.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)

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

localize48.0ms (0.9%)

Memory

7.5MiB live, 81.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
✓	accuracy	99.2%	(.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)))
✓	accuracy	99.2%	(/.f64 #s(literal -1/729 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))

Samples

29.0ms

256×

valid

Compiler

Compiled 54 to 14 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

const: 11.0ms (51.5% of total)

ival-mult: 5.0ms (23.4% of total)

ival-add: 3.0ms (14.1% of total)

ival-div: 2.0ms (9.4% of total)

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

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

series2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal -1/729 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))>
#<alt (.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)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))>
#<alt (*.f64 x x)>
#<alt (+.f64 x #s(literal -1/3 binary64))>

Outputs
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 (* x (+ 1 (* 243 (pow x 5)))))>
#<alt (+ 1/3 (* x (+ 1 (* (pow x 5) (+ 243 (* 729 x))))))>
#<alt (/ -1/729 (pow x 5))>
#<alt (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 5)))>
#<alt (/ (- (* -1 (/ (+ 1/2187 (* 1/531441 (/ 1 (pow x 5)))) x)) 1/729) (pow x 5))>
#<alt (/ (- (* -1 (/ (+ 1/531441 (* 1/1594323 (/ 1 x))) (pow x 6))) (+ 1/729 (* 1/2187 (/ 1 x)))) (pow x 5))>
#<alt (/ -1/729 (pow x 5))>
#<alt (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 5)))>
#<alt (* -1 (/ (+ 1/729 (+ (/ 1/531441 (pow x 6)) (* 1/2187 (/ 1 x)))) (pow x 5)))>
#<alt (* -1 (/ (+ 1/729 (* -1 (/ (- (* -1 (/ (+ 1/531441 (* 1/1594323 (/ 1 x))) (pow x 5))) 1/2187) x))) (pow x 5)))>
#<alt -1/243>
#<alt (- (* 1/81 x) 1/243)>
#<alt (- (* x (+ 1/81 (* -1/27 x))) 1/243)>
#<alt (- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)>
#<alt (pow x 5)>
#<alt (* (pow x 5) (- 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))>
#<alt (pow x 5)>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))>
#<alt 1/81>
#<alt (+ 1/81 (* 1/9 (pow x 2)))>
#<alt (+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))>
#<alt (+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (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 (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)))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ -1/729 (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (+ x -1/3)))
0.0ms	x	@	inf	(/ -1/729 (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (+ x -1/3)))
0.0ms	x	@	0	(/ -1/729 (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (+ x -1/3)))
0.0ms	x	@	inf	(+ (* (* x x) (+ (* x x) 1/9)) 1/81)
0.0ms	x	@	-inf	(+ (* (* x x) (+ (* x x) 1/9)) 1/81)

rewrite421.0ms (7.6%)

Memory

41.2MiB live, 544.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 238×	`lower-*.f32`
6 234×	`lower-*.f64`
6 204×	`lower-fma.f32`
6 200×	`lower-fma.f64`
4 978×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	18	43
1	85	43
2	646	43
0	8445	43

Stop Event

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

Counts

5 → 604

Calls

Call 1

Inputs
(/.f64 #s(literal -1/729 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))
(.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)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(*.f64 x x)
(+.f64 x #s(literal -1/3 binary64))

Outputs
(+.f64 (.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 x x)) (.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 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 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 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 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) x) (.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 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 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 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 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))))
(+.f64 (.f64 x (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)) (.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -729 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64)))))
(fma.f64 x (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 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 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(fma.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 x x) (.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 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)))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 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 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) x (.f64 (/.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1/3 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))) #s(literal -1/6561 binary64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))) #s(literal -1/6561 binary64))) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))))) #s(literal 1/531441 binary64)) (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64)))) #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1/6561 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))) (.f64 (-.f64 #s(literal 1/6561 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))) (-.f64 #s(literal 1/6561 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))))))) (fma.f64 x (.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))) (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))))) (.f64 (-.f64 #s(literal 1/6561 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))) (-.f64 (-.f64 #s(literal 1/6561 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))) (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))))))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))))) #s(literal 1/531441 binary64)) (.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))) #s(literal 1/6561 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))) (+.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))) #s(literal -1/6561 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))))) (+.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))) #s(literal -1/6561 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))) #s(literal -1/6561 binary64)) (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))))) #s(literal -1/531441 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))) #s(literal 1/6561 binary64)) (.f64 x (.f64 (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.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 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 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)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (+.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(neg.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 x)))
(/.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64)) (+.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 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)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 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)) #s(literal 1 binary64)) (.f64 (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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (.f64 (+.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 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1/729 binary64)) (.f64 (.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 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (.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 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (-.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1/729 binary64)) (.f64 (.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 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 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 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 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)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1/81 binary64)) (.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1/3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal -1/9 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 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) (.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 x (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x #s(literal -1/3 binary64))))) (+.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (+.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))

simplify493.0ms (8.9%)

Memory

-9.1MiB live, 438.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 078×	`lower-fma.f64`
9 078×	`lower-fma.f32`
3 626×	`lower-*.f64`
3 626×	`lower-*.f32`
1 874×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	424
1	357	416
2	857	406
3	2259	398
4	6073	398
0	8203	374

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 243 (pow x 5)))))
(+ 1/3 (* x (+ 1 (* (pow x 5) (+ 243 (* 729 x))))))
(/ -1/729 (pow x 5))
(* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 5)))
(/ (- (* -1 (/ (+ 1/2187 (* 1/531441 (/ 1 (pow x 5)))) x)) 1/729) (pow x 5))
(/ (- (* -1 (/ (+ 1/531441 (* 1/1594323 (/ 1 x))) (pow x 6))) (+ 1/729 (* 1/2187 (/ 1 x)))) (pow x 5))
(/ -1/729 (pow x 5))
(* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 5)))
(* -1 (/ (+ 1/729 (+ (/ 1/531441 (pow x 6)) (* 1/2187 (/ 1 x)))) (pow x 5)))
(* -1 (/ (+ 1/729 (* -1 (/ (- (* -1 (/ (+ 1/531441 (* 1/1594323 (/ 1 x))) (pow x 5))) 1/2187) x))) (pow x 5)))
-1/243
(- (* 1/81 x) 1/243)
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
(pow x 5)
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(pow x 5)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
1/81
(+ 1/81 (* 1/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 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)
(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)))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* x (+ 1 (* 243 (pow x 5)))))
(+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 243 binary64) (pow.f64 x #s(literal 6 binary64)) x))
(+ 1/3 (* x (+ 1 (* (pow x 5) (+ 243 (* 729 x))))))
(+.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 x #s(literal 729 binary64) #s(literal 243 binary64)) (pow.f64 x #s(literal 6 binary64)) x))
(/ -1/729 (pow x 5))
(/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 5)))
(/.f64 (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal -1/2187 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1 (/ (+ 1/2187 (* 1/531441 (/ 1 (pow x 5)))) x)) 1/729) (pow x 5))
(/.f64 (+.f64 #s(literal -1/729 binary64) (+.f64 (/.f64 #s(literal -1/2187 binary64) x) (/.f64 #s(literal -1/531441 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1 (/ (+ 1/531441 (* 1/1594323 (/ 1 x))) (pow x 6))) (+ 1/729 (* 1/2187 (/ 1 x)))) (pow x 5))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/531441 binary64) (/.f64 #s(literal -1/1594323 binary64) x)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal -1/2187 binary64) x))) (pow.f64 x #s(literal 5 binary64)))
(/ -1/729 (pow x 5))
(/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 5)))
(/.f64 (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal -1/2187 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (+ 1/729 (+ (/ 1/531441 (pow x 6)) (* 1/2187 (/ 1 x)))) (pow x 5)))
(/.f64 (+.f64 #s(literal -1/729 binary64) (+.f64 (/.f64 #s(literal -1/2187 binary64) x) (/.f64 #s(literal -1/531441 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (+ 1/729 (* -1 (/ (- (* -1 (/ (+ 1/531441 (* 1/1594323 (/ 1 x))) (pow x 5))) 1/2187) x))) (pow x 5)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/531441 binary64) (/.f64 #s(literal -1/1594323 binary64) x)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal -1/2187 binary64) x))) (pow.f64 x #s(literal 5 binary64)))
-1/243
#s(literal -1/243 binary64)
(- (* 1/81 x) 1/243)
(fma.f64 x #s(literal 1/81 binary64) #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(fma.f64 x (fma.f64 x #s(literal -1/27 binary64) #s(literal 1/81 binary64)) #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)) #s(literal 1/81 binary64)) #s(literal -1/243 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* 1/9 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 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)
-1/3
#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))

eval135.0ms (2.4%)

Memory: -17.2MiB live, 172.5MiB allocated
Compiler: Compiled 29 636 to 2 137 computations (92.8% saved)

prune300.0ms (5.4%)

Memory

2.2MiB live, 172.4MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	661	1	662
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	662	3	665

Accuracy

100.0%

Counts

665 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(/.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	52.7%	#s(literal 1/3 binary64)

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

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

✓

cost-diff

128

(*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64)))

✓

cost-diff

192

(/.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64))))

Rules

8×	`lower-/.f32`
8×	`lower-*.f32`
8×	`lower-+.f32`
6×	`lower-*.f64`
6×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	17
1	22	17
2	26	17
0	26	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64))))
#s(literal -1/729 binary64)
(*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64)))
#s(literal 1/81 binary64)
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)

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

localize36.0ms (0.6%)

Memory

-23.9MiB live, 56.1MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

100.0%

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

✓

accuracy

99.0%

(*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64)))

✓

accuracy

98.9%

(/.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64))))

Samples

27.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

const: 16.0ms (76.5% of total)

ival-div: 2.0ms (9.6% of total)

ival-mult: 2.0ms (9.6% of total)

ival-add: 1.0ms (4.8% of total)

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

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

series1.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

#<alt (/.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64))))>

#<alt (*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64)))>

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

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

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ -1/729 (* 1/81 (+ x -1/3)))
0.0ms	x	@	-inf	(/ -1/729 (* 1/81 (+ x -1/3)))
0.0ms	x	@	0	(/ -1/729 (* 1/81 (+ x -1/3)))
0.0ms	x	@	-inf	(* 1/81 (+ x -1/3))
0.0ms	x	@	0	(* 1/81 (+ x -1/3))

rewrite388.0ms (7%)

Memory

7.1MiB live, 527.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 760×	`lower-/.f32`
5 758×	`lower-/.f64`
3 964×	`lower-*.f32`
3 962×	`lower-*.f64`
2 602×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	13
1	46	13
2	246	13
3	1823	13
0	8438	12

Stop Event

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

Counts

3 → 461

Calls

Call 1

Inputs

(/.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64))))

(*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64)))

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

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

simplify258.0ms (4.6%)

Memory

-1.6MiB live, 347.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 132×	`lower-fma.f64`
7 132×	`lower-fma.f32`
1 950×	`lower-*.f64`
1 950×	`lower-*.f32`
1 526×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	190
1	193	184
2	451	180
3	1128	180
4	2775	180
5	5003	180
6	7260	180
0	8057	166

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

eval122.0ms (2.2%)

Memory: 1.8MiB live, 114.6MiB allocated
Compiler: Compiled 12 224 to 1 661 computations (86.4% saved)

prune81.0ms (1.5%)

Memory

-15.5MiB live, 130.9MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	494	1	495
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	495	3	498

Accuracy

100.0%

Counts

498 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(/.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/81 binary64) #s(literal -1/3 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	52.7%	#s(literal 1/3 binary64)

Compiler

Compiled 75 to 35 computations (53.3% saved)

regimes6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

7 → 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 -1/729 binary64) (*.f64 #s(literal 1/81 binary64) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/81 binary64) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal -1/729 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 x #s(literal -1/3 binary64))))

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

Calls

2 calls:

3.0ms	x
2.0ms	(+.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)

regimes4.0ms (0.1%)

Memory

-29.9MiB live, 8.7MiB 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
52.7%	1	`x`
52.7%	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

18.5MiB live, 18.5MiB 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)

soundness193.0ms (3.5%)

Memory

-10.4MiB live, 105.5MiB allocated

Rules

8 708×	`lower-fma.f64`
8 708×	`lower-fma.f32`
5 116×	`lower-*.f64`
5 116×	`lower-*.f32`
3 868×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

preprocess24.0ms (0.4%)

Memory: 10.0MiB live, 48.7MiB allocated
Compiler: Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample963.0ms (17.3%)

preprocess18.0ms (0.3%)

explain60.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize19.0ms (0.3%)

series1.0ms (0%)

rewrite333.0ms (6%)

simplify7.0ms (0.1%)

eval33.0ms (0.6%)

prune30.0ms (0.5%)

simplify160.0ms (2.9%)

localize62.0ms (1.1%)

series6.0ms (0.1%)

rewrite558.0ms (10%)

simplify377.0ms (6.8%)

eval174.0ms (3.1%)

prune81.0ms (1.5%)

simplify145.0ms (2.6%)

localize48.0ms (0.9%)

series2.0ms (0%)

rewrite421.0ms (7.6%)

simplify493.0ms (8.9%)

eval135.0ms (2.4%)

prune300.0ms (5.4%)

simplify6.0ms (0.1%)

localize36.0ms (0.6%)

series1.0ms (0%)

rewrite388.0ms (7%)

simplify258.0ms (4.6%)

eval122.0ms (2.2%)

prune81.0ms (1.5%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness193.0ms (3.5%)

preprocess24.0ms (0.4%)

end0.0ms (0%)

Profiling