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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample483.0ms (12.1%)

Memory

4.0MiB live, 833.6MiB allocated

Samples

287.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-div: 93.0ms (63.8% of total)

ival-add: 38.0ms (26.1% of total)

exact: 7.0ms (4.8% of total)

ival-true: 5.0ms (3.4% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

preprocess20.0ms (0.5%)

Memory

-24.6MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain78.0ms (1.9%)

Memory

-0.1MiB live, 93.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

41.0ms

512×

valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

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

ival-div: 4.0ms (51.1% of total)

ival-add: 2.0ms (25.5% of total)

exact: 1.0ms (12.8% of total)

ival-true: 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.5%)

Memory

-1.5MiB live, 35.1MiB 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

13.0ms

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: 3.0ms (68.9% of total)

ival-add: 1.0ms (23% 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

1.3MiB live, 1.3MiB allocated

Counts

2 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite575.0ms (14.4%)

Memory

3.9MiB live, 638.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 265

Calls

Call 1

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

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

simplify7.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

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

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

eval162.0ms (4.1%)

Memory: 11.8MiB live, 49.6MiB allocated
Compiler: Compiled 7 850 to 630 computations (92% saved)

prune160.0ms (4%)

Memory

-21.5MiB live, 57.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	270	5	275
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	271	5	276

Accuracy

100.0%

Counts

276 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(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))))
▶	66.2%	(/.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)))
▶	74.6%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	50.9%	#s(literal 1/3 binary64)

Compiler

Compiled 88 to 62 computations (29.5% saved)

simplify105.0ms (2.6%)

Memory

24.5MiB live, 62.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 x x) (+.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	1216	(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))))
✓	cost-diff	0	(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal -1/3 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	0	(-.f64 x #s(literal -1/3 binary64))

Rules

1 128×	`lower-fma.f32`
1 120×	`lower-fma.f64`
632×	`lower-*.f32`
630×	`lower-*.f64`
382×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
0	34	91
1	58	91
2	74	91
3	85	91
4	92	91
5	103	91
6	128	91
7	183	91
8	232	91
9	279	91
10	352	91
11	479	91
12	923	91
13	1224	91
14	1394	91
15	1510	91
16	1805	91
17	2010	91
18	2129	91
19	2359	91
20	2379	91
21	2379	91
0	2379	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize187.0ms (4.7%)

Memory

3.8MiB live, 77.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(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))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))
✓	accuracy	74.5%	(/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
✓	accuracy	67.2%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1/9 binary64))
✓	accuracy	74.6%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(-.f64 x #s(literal -1/3 binary64))

Samples

102.0ms

256×

valid

Compiler

Compiled 108 to 24 computations (77.8% saved)

Precisions

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

const: 17.0ms (45.8% of total)

ival-div: 6.0ms (16.2% of total)

ival-mult: 6.0ms (16.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series84.0ms (2.1%)

Memory

-34.7MiB live, 10.5MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
72.0ms	x	@	0	(+ (* 1/9 (/ 1 (- 1/3 x))) (/ (* x x) (+ x -1/3)))
4.0ms	x	@	inf	(+ (* 1/9 (/ 1 (- 1/3 x))) (/ (* x x) (+ x -1/3)))
1.0ms	x	@	-inf	(/ 1 (- 1/3 x))
1.0ms	x	@	-inf	(+ (* 1/9 (/ 1 (- 1/3 x))) (/ (* x x) (+ x -1/3)))
0.0ms	x	@	0	(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))

rewrite526.0ms (13.2%)

Memory

-14.3MiB live, 595.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 068×	`lower-/.f32`
5 060×	`lower-/.f64`
4 614×	`lower-fma.f32`
4 606×	`lower-fma.f64`
3 606×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	75
0	34	48
1	163	48
2	1289	48
0	8581	48

Stop Event

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

Counts

12 → 1 533

Calls

Call 1

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

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

simplify282.0ms (7.1%)

Memory

23.6MiB live, 504.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 768×	`lower-fma.f64`
6 768×	`lower-fma.f32`
2 712×	`lower-*.f64`
2 712×	`lower-*.f32`
2 240×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	629
1	344	612
2	860	582
3	2675	574
4	6914	574
0	8190	546

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 132

Calls

Call 1

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

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

eval245.0ms (6.1%)

Memory: 14.5MiB live, 676.4MiB allocated
Compiler: Compiled 48 400 to 2 432 computations (95% saved)

prune144.0ms (3.6%)

Memory

2.1MiB live, 277.9MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 879	1	1 880
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 881	4	1 885

Accuracy

100.0%

Counts

1 885 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(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))))
▶	51.5%	(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	50.9%	#s(literal 1/3 binary64)

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify6.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

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

✓

cost-diff

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

✓

cost-diff

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

Rules

28×	`lower-+.f32`
26×	`lower-+.f64`
22×	`lower-fma.f32`
20×	`lower-fma.f64`
12×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	21
1	19	21
2	28	21
3	34	21
0	34	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (1%)

Memory

6.6MiB live, 49.0MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

100.0%

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

✓

accuracy

100.0%

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

✓

accuracy

99.4%

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

Samples

30.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (43.1% of total)

const: 9.0ms (38.8% of total)

ival-div: 2.0ms (8.6% of total)

ival-add: 2.0ms (8.6% of total)

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

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

series1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

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

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

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

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

9 calls:

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

rewrite350.0ms (8.7%)

Memory

-28.0MiB live, 405.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 594×	`lower-fma.f32`
4 592×	`lower-fma.f64`
4 164×	`lower-*.f64`
4 164×	`lower-*.f32`
3 004×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	53	17
2	362	17
3	3949	17
0	8142	17

Stop Event

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

Counts

3 → 274

Calls

Call 1

Inputs

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

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

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(+.f64 (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (.f64 x (+.f64 x #s(literal -1/3 binary64)))) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))
(+.f64 (.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)))) (.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))) (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))))
(fma.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)))))
(fma.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (.f64 x x) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (fma.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))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 27 binary64))))
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 27 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -27 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 27 binary64))
(/.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/243 binary64)) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)))
(/.f64 (.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (.f64 x x)) (.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)))))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))))))
(/.f64 (.f64 #s(literal 1/27 binary64) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal -1/3 binary64))))))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64)) (+.f64 (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(/.f64 (.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64))) (.f64 (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal -1/729 binary64))) (.f64 (fma.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1/81 binary64)) (fma.f64 x (.f64 x (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (fma.f64 x (*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (.f64 x x)) (.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)))))) (fma.f64 x (.f64 (.f64 x (.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 x #s(literal -1/3 binary64)))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (.f64 (+.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal -1/3 binary64)))))))))
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simplify281.0ms (7%)

Memory

-26.1MiB live, 399.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 680×	`lower-fma.f64`
7 680×	`lower-fma.f32`
3 254×	`lower-*.f64`
3 254×	`lower-*.f32`
1 402×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	230
1	205	224
2	493	224
3	1442	216
4	4163	216
0	8150	206

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

eval38.0ms (0.9%)

Memory: 25.0MiB live, 100.1MiB allocated
Compiler: Compiled 8 796 to 983 computations (88.8% saved)

prune38.0ms (0.9%)

Memory

-14.4MiB live, 105.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	308	0	308
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	308	4	312

Accuracy

100.0%

Counts

312 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(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))))
✓	51.5%	(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	50.9%	#s(literal 1/3 binary64)

Compiler

Compiled 83 to 46 computations (44.6% saved)

regimes6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/3 binary64)

Outputs
#s(literal 1/3 binary64)

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.2%)

Memory

-22.4MiB live, 17.0MiB 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)

soundness114.0ms (2.8%)

Memory

-1.6MiB live, 115.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

preprocess34.0ms (0.9%)

Memory: 5.8MiB live, 43.6MiB allocated
Compiler: Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample483.0ms (12.1%)

preprocess20.0ms (0.5%)

explain78.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize19.0ms (0.5%)

series1.0ms (0%)

rewrite575.0ms (14.4%)

simplify7.0ms (0.2%)

eval162.0ms (4.1%)

prune160.0ms (4%)

simplify105.0ms (2.6%)

localize187.0ms (4.7%)

series84.0ms (2.1%)

rewrite526.0ms (13.2%)

simplify282.0ms (7.1%)

eval245.0ms (6.1%)

prune144.0ms (3.6%)

simplify6.0ms (0.1%)

localize38.0ms (1%)

series1.0ms (0%)

rewrite350.0ms (8.7%)

simplify281.0ms (7%)

eval38.0ms (0.9%)

prune38.0ms (0.9%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.2%)

soundness114.0ms (2.8%)

preprocess34.0ms (0.9%)

end0.0ms (0%)

Profiling