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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample757.0ms (11.2%)

Memory

52.9MiB live, 972.3MiB allocated

Samples

556.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-div: 247.0ms (73.1% of total)

ival-sub: 75.0ms (22.2% of total)

exact: 7.0ms (2.1% of total)

ival-true: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess273.0ms (4%)

Memory

-226.2MiB live, 51.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain52.0ms (0.8%)

Memory

25.4MiB live, 145.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

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

ival-div: 6.0ms (62.9% of total)

ival-sub: 3.0ms (31.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB 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)

simplify6.0ms (0.1%)

Memory

-31.5MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.2%)

Memory

0.4MiB live, 39.2MiB 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 (52.7% of total)

ival-sub: 1.0ms (26.3% 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

1.7MiB live, 1.7MiB allocated

Counts

2 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite351.0ms (5.2%)

Memory

-3.8MiB live, 646.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 313

Calls

Call 1

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

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

simplify22.0ms (0.3%)

Memory

10.7MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

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

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

eval204.0ms (3%)

Memory: 12.4MiB live, 91.9MiB allocated
Compiler: Compiled 10 399 to 762 computations (92.7% saved)

prune476.0ms (7.1%)

Memory

-17.9MiB live, 60.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	320	3	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	3	324

Accuracy

100.0%

Counts

324 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	76.5%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
▶	52.7%	#s(literal -1/3 binary64)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify43.0ms (0.6%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(-.f64 #s(literal -1/3 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓	cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))

Rules

384×	`lower-fma.f32`
382×	`lower-fma.f64`
248×	`lower-*.f32`
246×	`lower-*.f64`
188×	`associate-*r/`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	16	32
1	24	32
2	39	31
3	65	31
4	83	31
5	128	30
6	287	30
7	739	30
8	1339	30
9	1359	30
10	1366	30
11	1372	30
12	1377	30
13	1379	30
0	1379	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize388.0ms (5.8%)

Memory

-25.8MiB live, 16.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -1/3 binary64) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1/9 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
✓	accuracy	76.6%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))

Samples

376.0ms

256×

valid

Compiler

Compiled 34 to 13 computations (61.8% saved)

Precisions

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

const: 12.0ms (56.8% of total)

ival-mult: 3.0ms (14.2% of total)

ival-div: 2.0ms (9.5% of total)

ival-sub: 2.0ms (9.5% of total)

ival-add: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt -1/3>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt -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	@	0	(* (+ (* x x) -1/9) (/ -1 (- -1/3 x)))
0.0ms	x	@	inf	(* (+ (* x x) -1/9) (/ -1 (- -1/3 x)))
0.0ms	x	@	inf	(+ (* x x) -1/9)
0.0ms	x	@	-inf	(* (+ (* x x) -1/9) (/ -1 (- -1/3 x)))
0.0ms	x	@	inf	(/ -1 (- -1/3 x))

rewrite917.0ms (13.6%)

Memory

-4.3MiB live, 318.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 128×	`lower-*.f32`
4 126×	`lower-*.f64`
4 108×	`lower-fma.f32`
4 106×	`lower-fma.f64`
2 332×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	16	32
1	73	30
2	481	18
3	5536	18
0	8643	18

Stop Event

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

Counts

5 → 776

Calls

Call 1

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

simplify634.0ms (9.4%)

Memory

1.5MiB live, 356.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 508×	`lower-fma.f64`
8 508×	`lower-fma.f32`
2 430×	`lower-*.f64`
2 430×	`lower-*.f32`
1 606×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	265
1	206	257
2	487	248
3	1347	244
4	3559	244
5	5806	244
6	7066	244
7	7373	244
8	7455	244
9	7470	244
10	7558	244
0	8068	229

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

eval319.0ms (4.7%)

Memory: 5.7MiB live, 201.2MiB allocated
Compiler: Compiled 18 954 to 1 516 computations (92% saved)

prune75.0ms (1.1%)

Memory

-2.2MiB live, 197.1MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	831	1	832
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	832	3	835

Accuracy

100.0%

Counts

835 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

53.7%

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

✓

52.7%

#s(literal -1/3 binary64)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify905.0ms (13.4%)

Memory

18.9MiB live, 1 489.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

46 434×	`lower-fma.f32`
46 428×	`lower-fma.f64`
6 172×	`lower-*.f32`
6 170×	`lower-*.f64`
5 348×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	16	32
1	34	32
2	99	32
3	280	32
4	853	32
5	1920	32
6	3214	32
7	5098	32
8	5183	32
9	5225	32
10	5286	32
11	5304	32
12	5304	32
13	5484	32
14	5487	32
15	5490	32
16	5490	32
0	8444	31

Stop Event

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

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

22.1MiB live, 99.4MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

22.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (45.9% of total)

const: 5.0ms (32.8% of total)

ival-add: 3.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite396.0ms (5.9%)

Memory

-9.6MiB live, 543.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 246×	`lower-*.f32`
6 244×	`lower-*.f64`
5 840×	`lower-fma.f32`
5 834×	`lower-fma.f64`
4 662×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	16	27
1	77	27
2	635	27
0	8222	27

Stop Event

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

Counts

4 → 587

Calls

Call 1

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

Outputs
(+.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+.f64 (fma.f64 x (.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)))))
(+.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64)) (*.f64 x x)))
(+.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) (.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))))
(+.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64)) (.f64 x x)) (fma.f64 x (*.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x (.f64 x #s(literal 27 binary64)))) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(+.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x (.f64 x #s(literal 27 binary64)))) (fma.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) x) #s(literal -9 binary64) (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (+.f64 #s(literal -1/3 binary64) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))))))
(+.f64 (.f64 x (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal -1/9 binary64))) (fma.f64 x (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))) x (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 (.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))) (fma.f64 x (*.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 27 binary64)) (.f64 x (fma.f64 x x #s(literal -1/9 binary64)))) (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 27 binary64)) (.f64 x (fma.f64 x x #s(literal -1/9 binary64)))) (fma.f64 x (.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal -1/3 binary64) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))))))
(+.f64 (.f64 (.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))) x) (fma.f64 x (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(+.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 27 binary64))))) (.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) x) #s(literal -9 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 27 binary64)))) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 x (*.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))))
(+.f64 (fma.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) (.f64 x (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1/3 binary64)) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(+.f64 (fma.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) (.f64 x (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1/3 binary64)) (.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (fma.f64 x (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))) (.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal -1/3 binary64))
(+.f64 (fma.f64 x (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))) (.f64 x (*.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64))
(+.f64 (fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x (.f64 x #s(literal 27 binary64))))) (.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) x) #s(literal -9 binary64)))
(+.f64 (fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal -1/9 binary64)))) (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) (.f64 x (*.f64 x x))))
(+.f64 (fma.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 3 binary64) (.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) (.f64 x (.f64 x x)))) (.f64 x (*.f64 (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal -1/9 binary64))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64) #s(literal 729 binary64)) (+.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 243 binary64) (.f64 (*.f64 x x) #s(literal 729 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 531441 binary64) #s(literal 6561 binary64)) (.f64 (.f64 x x) #s(literal 59049 binary64))) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 531441 binary64) #s(literal -6561 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64) #s(literal -729 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 243 binary64) (.f64 (.f64 x x) #s(literal 729 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal -81 binary64)))) (neg.f64 (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) #s(literal 729 binary64)))) (neg.f64 (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal -27 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (fma.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 729 binary64)) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 387420489 binary64)) #s(literal -387420489 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 243 binary64) (.f64 (.f64 x x) #s(literal 729 binary64)))))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 387420489 binary64) #s(literal 531441 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -14348907 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 243 binary64) (.f64 (.f64 x x) #s(literal 729 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64) #s(literal 729 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 387420489 binary64) #s(literal -531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)))) (+.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 531441 binary64) #s(literal 6561 binary64)) (.f64 (*.f64 x x) #s(literal 59049 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 531441 binary64) #s(literal -6561 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64)))) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 243 binary64) (.f64 (*.f64 x x) #s(literal 729 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 729 binary64)) #s(literal -243 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 729 binary64) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 243 binary64) (.f64 (*.f64 x x) #s(literal 729 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 729 binary64) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 243 binary64) (.f64 (.f64 x x) #s(literal 729 binary64))))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 19683 binary64) #s(literal -729 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27 binary64) #s(literal 9 binary64))) (fma.f64 (.f64 x x) #s(literal 729 binary64) #s(literal -81 binary64)))
(.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 x x) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (.f64 x #s(literal -27 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 729 binary64) #s(literal -81 binary64)) (fma.f64 (*.f64 x x) #s(literal 729 binary64) #s(literal -81 binary64))) (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64) #s(literal -729 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 387420489 binary64) (.f64 (+.f64 #s(literal 81 binary64) (.f64 x #s(literal 243 binary64))) (.f64 (+.f64 #s(literal 81 binary64) (.f64 x #s(literal 243 binary64))) (+.f64 #s(literal 81 binary64) (.f64 x #s(literal 243 binary64))))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 531441 binary64) (.f64 (+.f64 #s(literal 81 binary64) (.f64 x #s(literal 243 binary64))) (-.f64 (+.f64 #s(literal 81 binary64) (.f64 x #s(literal 243 binary64))) (.f64 (*.f64 x x) #s(literal 729 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64) #s(literal -729 binary64)) (.f64 (+.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 243 binary64) (.f64 (.f64 x x) #s(literal 729 binary64)))) (+.f64 (fma.f64 (.f64 x x) #s(literal 729 binary64) #s(literal -81 binary64)) (.f64 x #s(literal -243 binary64))))) (+.f64 (fma.f64 (.f64 x x) #s(literal 729 binary64) #s(literal -81 binary64)) (.f64 x #s(literal -243 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 729 binary64) #s(literal -81 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 19683 binary64) #s(literal 729 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal 729 binary64) #s(literal 81 binary64)) (.f64 x #s(literal -243 binary64))))

simplify398.0ms (5.9%)

Memory

3.1MiB live, 445.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 348×	`lower-fma.f64`
9 348×	`lower-fma.f32`
2 514×	`lower-*.f64`
2 514×	`lower-*.f32`
1 778×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	310
1	218	302
2	541	302
3	1535	298
4	4223	290
5	7515	290
0	8042	244

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval210.0ms (3.1%)

Memory: -4.6MiB live, 145.4MiB allocated
Compiler: Compiled 25 389 to 1 713 computations (93.3% saved)

prune88.0ms (1.3%)

Memory

0.8MiB live, 161.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	635	0	635
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	635	3	638

Accuracy

100.0%

Counts

638 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

53.7%

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

✓

52.7%

#s(literal -1/3 binary64)

Compiler

Compiled 51 to 33 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

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

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

Calls

2 calls:

2.0ms	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)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB 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)

simplify12.0ms (0.2%)

Memory

-38.2MiB live, 12.9MiB 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)

soundness119.0ms (1.8%)

Memory

6.2MiB live, 120.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

preprocess39.0ms (0.6%)

Memory: 5.7MiB live, 82.9MiB allocated
Compiler: Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample757.0ms (11.2%)

preprocess273.0ms (4%)

explain52.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite351.0ms (5.2%)

simplify22.0ms (0.3%)

eval204.0ms (3%)

prune476.0ms (7.1%)

simplify43.0ms (0.6%)

localize388.0ms (5.8%)

series3.0ms (0%)

rewrite917.0ms (13.6%)

simplify634.0ms (9.4%)

eval319.0ms (4.7%)

prune75.0ms (1.1%)

simplify905.0ms (13.4%)

localize33.0ms (0.5%)

series2.0ms (0%)

rewrite396.0ms (5.9%)

simplify398.0ms (5.9%)

eval210.0ms (3.1%)

prune88.0ms (1.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

simplify12.0ms (0.2%)

soundness119.0ms (1.8%)

preprocess39.0ms (0.6%)

end0.0ms (0%)

Profiling