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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample990.0ms (15.2%)

Memory

11.6MiB live, 491.0MiB allocated

Samples

732.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-div: 251.0ms (83.2% of total)

ival-add: 36.0ms (11.9% of total)

exact: 7.0ms (2.3% of total)

ival-true: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain61.0ms (0.9%)

Memory

-4.2MiB live, 32.2MiB 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

35.0ms

512×

valid

Compiler

Compiled 44 to 29 computations (34.1% saved)

Precisions

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

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

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

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB 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))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify4.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB 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)

localize132.0ms (2%)

Memory

-20.8MiB live, 16.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.01953125	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

125.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (53.6% of total)

ival-add: 1.0ms (26.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 12

Calls

Call 1

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

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

simplify5.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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)

rewrite888.0ms (13.6%)

Memory

33.1MiB live, 508.9MiB 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	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))))
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(.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))))

eval59.0ms (0.9%)

Memory: -24.9MiB live, 78.3MiB allocated
Compiler: Compiled 7 860 to 630 computations (92% saved)

prune147.0ms (2.3%)

Memory

-8.8MiB live, 108.0MiB 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
▶	61.4%	(/.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 x #s(literal -1/3 binary64))))
▶	75.0%	(/.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))
▶	74.9%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
▶	46.4%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 90 to 60 computations (33.3% saved)

simplify46.0ms (0.7%)

Memory

-22.6MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64))
cost-diff	0	(/.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 x #s(literal -1/3 binary64))))
cost-diff	0	(+.f64 x #s(literal -1/3 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
cost-diff	320	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 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	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
cost-diff	0	(-.f64 x #s(literal -1/3 binary64))

Rules

574×	`lower-fma.f32`
568×	`lower-fma.f64`
484×	`lower-*.f32`
476×	`lower-*.f64`
230×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	107
0	36	99
1	60	97
2	100	97
3	170	97
4	233	97
5	277	97
6	317	97
7	355	97
8	387	97
9	397	97
10	408	97
11	408	97
12	414	97
13	424	97
14	439	97
15	457	97
16	481	97
17	625	97
18	829	97
19	835	97
0	835	97

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

localize82.0ms (1.3%)

Memory

18.3MiB live, 214.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64))
accuracy	0.078125	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	24.056474278213418	(/.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 x #s(literal -1/3 binary64))))
accuracy	0	(fma.f64 x x #s(literal -1/9 binary64))
accuracy	0.00390625	(+.f64 x #s(literal -1/3 binary64))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
accuracy	16.056044307308998	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
accuracy	0	(fma.f64 x x #s(literal -1/9 binary64))
accuracy	0.00390625	(+.f64 x #s(literal -1/3 binary64))
accuracy	15.977919307308998	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
accuracy	34.27327345299869	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
accuracy	0.01953125	(-.f64 x #s(literal -1/3 binary64))

Samples

49.0ms

256×

valid

Compiler

Compiled 118 to 25 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

const: 15.0ms (41.7% of total)

ival-mult: 7.0ms (19.4% of total)

ival-div: 6.0ms (16.7% of total)

ival-add: 5.0ms (13.9% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

simplify329.0ms (5%)

Memory

2.5MiB live, 633.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 304×	`lower-fma.f64`
15 304×	`lower-fma.f32`
3 230×	`lower-*.f64`
3 230×	`lower-*.f32`
2 514×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	590
1	298	582
2	765	578
3	2362	566
4	6512	554
0	8359	532

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

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

rewrite479.0ms (7.4%)

Memory

-2.5MiB live, 956.3MiB allocated

Rules

6 870×	`lower-fma.f32`
6 864×	`lower-fma.f64`
5 300×	`lower-*.f32`
5 292×	`lower-*.f64`
4 446×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	79
0	36	49
1	145	48
2	1006	48
0	9123	48

Stop Event

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

Counts

12 → 1 864

Calls

Call 1

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

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

eval324.0ms (5%)

Memory: 13.1MiB live, 596.2MiB allocated
Compiler: Compiled 71 533 to 3 496 computations (95.1% saved)

prune248.0ms (3.8%)

Memory

-7.3MiB live, 382.5MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	2 389	3	2 392
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	2 391	6	2 397

Accuracy

100.0%

Counts

2 397 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.0%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
▶	46.7%	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) (*.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))
▶	45.5%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
▶	46.1%	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
✓	46.4%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 48 to 33 computations (31.3% saved)

simplify14.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
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	#s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))))
cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
cost-diff	0	#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -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)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
cost-diff	0	(+.f64 x #s(literal -1/3 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
cost-diff	0	#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
cost-diff	320	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))

Rules

234×	`lower-fma.f32`
228×	`lower-fma.f64`
144×	`lower-+.f32`
142×	`lower-+.f64`
104×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	117
0	37	113
1	63	107
2	104	107
3	161	107
4	207	107
5	232	107
6	240	107
0	240	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize185.0ms (2.8%)

Memory

-5.6MiB live, 156.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 x x #s(literal 1/9 binary64))
accuracy	0.078125	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
accuracy	24.056474278213418	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))))
accuracy	34.53349928712418	#s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64))
accuracy	0	(fma.f64 x x #s(literal -1/9 binary64))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
accuracy	16.056044307308998	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
accuracy	34.51618234968265	#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
accuracy	0.00390625	(+.f64 x #s(literal -1/3 binary64))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
accuracy	16.056044307308998	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
accuracy	34.75493261736453	#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))

Samples

143.0ms	250×	0	valid
1.0ms	5×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 109 to 23 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

const: 15.0ms (44.3% of total)

ival-mult: 9.0ms (26.6% of total)

ival-add: 6.0ms (17.7% of total)

ival-div: 3.0ms (8.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

simplify342.0ms (5.3%)

Memory

-6.2MiB live, 479.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 172×	`lower-fma.f64`
13 172×	`lower-fma.f32`
3 038×	`lower-*.f64`
3 038×	`lower-*.f32`
2 170×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	726
1	331	718
2	870	706
3	2717	686
4	6855	678
0	8108	621

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 136

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

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

rewrite390.0ms (6%)

Memory

-10.2MiB live, 617.2MiB allocated

Rules

6 984×	`lower-fma.f32`
6 978×	`lower-fma.f64`
5 284×	`lower-*.f32`
5 278×	`lower-*.f64`
4 550×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	102
0	37	96
1	145	92
2	891	92
0	8435	92

Stop Event

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

Counts

12 → 841

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 x x)) (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))))
(+.f64 (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))) (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) x) (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (.f64 (.f64 x x) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(+.f64 (.f64 x (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))))
(fma.f64 x (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))))
(fma.f64 (.f64 x x) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 (.f64 x x) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)))))
(fma.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 x x) (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 x x)))
(fma.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) x (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1/3 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64))))
(neg.f64 (.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))))
(/.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)))) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))))))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (-.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (.f64 x x)))))
(/.f64 (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 x #s(literal -1/3 binary64))))) (+.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (+.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64))))
(/.f64 (.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))
(/.f64 (.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x x #s(literal -1/9 binary64)))
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))))
(.f64 (neg.f64 #s(approx (+ ( x x) -1/9) #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 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))))
(.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #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) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(.f64 (.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(.f64 (/.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(.f64 (/.f64 (neg.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64))) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1/3 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (.f64 x x)))
(+.f64 (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal -1/9 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal -1/9 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 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))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64)))) (.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/387420489 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/531441 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/729 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/531441 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1/729 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6561 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/81 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) (+.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1/81 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/6561 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1/81 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/531441 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6561 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/81 binary64)))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/6561 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) (neg.f64 x) #s(literal -1/81 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/6561 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) (-.f64 #s(literal -1/81 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))
(.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6561 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/9 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/531441 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6561 binary64)) (.f64 (.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)))))
(.f64 (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))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/6561 binary64)) (.f64 (/.f64 #s(literal 1 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)))))
(.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1/81 binary64)) (/.f64 (/.f64 #s(literal 1 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)))))
(.f64 (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/729 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1/81 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64))) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/531441 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6561 binary64)) (.f64 (.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)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/6561 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal -1/9 binary64) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x #s(literal -1/9 binary64)))) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x #s(literal -1/9 binary64)))) (+.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x #s(literal -1/9 binary64)))))))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x #s(literal -1/9 binary64)))) (-.f64 (+.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x #s(literal -1/9 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/729 binary64)) (.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal -1/9 binary64)) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (.f64 (.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (neg.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/729 binary64)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))

eval178.0ms (2.7%)

Memory: 2.6MiB live, 278.5MiB allocated
Compiler: Compiled 28 297 to 2 717 computations (90.4% saved)

prune164.0ms (2.5%)

Memory

8.9MiB live, 250.0MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 054	2	1 056
Fresh	0	0	0
Picked	3	0	3
Done	0	3	3
Total	1 057	5	1 062

Accuracy

100.0%

Counts

1 062 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.0%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
▶	46.1%	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	99.7%	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
✓	46.4%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify14.0ms (0.2%)

Memory

-14.1MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))
cost-diff	0	#s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))
cost-diff	0	#s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))
cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
cost-diff	0	#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
cost-diff	0	#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
cost-diff	0	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))

Rules

222×	`lower-fma.f32`
218×	`lower-fma.f64`
140×	`lower-+.f64`
140×	`lower-+.f32`
72×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	102
0	32	98
1	55	94
2	78	94
3	113	94
4	155	94
5	180	94
6	188	94
0	188	90

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (1.1%)

Memory

17.2MiB live, 134.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.234375	(fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))
accuracy	24.056474278213418	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))
accuracy	32.992584476573164	#s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))
accuracy	34.53349928712418	#s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
accuracy	16.056044307308998	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
accuracy	34.51618234968265	#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
accuracy	34.75493261736453	#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))

Samples

50.0ms	250×	0	valid
2.0ms	5×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 78 to 26 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

const: 16.0ms (38.9% of total)

ival-mult: 11.0ms (26.7% of total)

ival-add: 10.0ms (24.3% of total)

ival-div: 3.0ms (7.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))>
#<alt #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))>
#<alt #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))>
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))>
#<alt (/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))>
#<alt #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64))>
#<alt #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))>
#<alt (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 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 -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt -3>
#<alt (- (* -9 x) 3)>
#<alt (- (* x (- (* -27 x) 9)) 3)>
#<alt (- (* x (- (* x (- (* -81 x) 27)) 9)) 3)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) x)>
#<alt (/ (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1) x))>
#<alt -3>
#<alt (- (* -9 x) 3)>
#<alt (- (* -9 x) 3)>
#<alt (- (* -9 x) 3)>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 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 -1/81>
#<alt (- (pow x 4) 1/81)>
#<alt (- (pow x 4) 1/81)>
#<alt (- (pow x 4) 1/81)>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4)))))>
#<alt -1/27>
#<alt (- (* 1/9 x) 1/27)>
#<alt (- (* x (+ 1/9 (* -1/3 x))) 1/27)>
#<alt (- (* x (+ 1/9 (* x (- x 1/3)))) 1/27)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))>
#<alt -1/27>
#<alt (- (* 1/9 x) 1/27)>
#<alt (- (* 1/9 x) 1/27)>
#<alt (- (* 1/9 x) 1/27)>
#<alt (* 1/9 x)>
#<alt (* x (- 1/9 (* 1/27 (/ 1 x))))>
#<alt (* x (- 1/9 (* 1/27 (/ 1 x))))>
#<alt (* x (- 1/9 (* 1/27 (/ 1 x))))>
#<alt (* 1/9 x)>
#<alt (* -1 (* x (- (* 1/27 (/ 1 x)) 1/9)))>
#<alt (* -1 (* x (- (* 1/27 (/ 1 x)) 1/9)))>
#<alt (* -1 (* x (- (* 1/27 (/ 1 x)) 1/9)))>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* x 1/9) -1/27)
0.0ms	x	@	inf	(+ (* x 1/9) -1/27)
0.0ms	x	@	-inf	(+ (* x 1/9) -1/27)
0.0ms	x	@	0	(* (+ (* x x) -1/9) (/ 1 (+ x -1/3)))
0.0ms	x	@	inf	(/ (+ (* x (* x (* x x))) -1/81) (* (+ (* x x) 1/9) (+ x -1/3)))

simplify461.0ms (7.1%)

Memory

-23.9MiB live, 362.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 448×	`lower-fma.f64`
10 448×	`lower-fma.f32`
3 106×	`lower-*.f64`
3 106×	`lower-*.f32`
1 692×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	502
1	321	494
2	852	490
3	2646	478
4	6549	474
0	8130	436

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

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

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

rewrite637.0ms (9.8%)

Memory

-8.6MiB live, 509.4MiB allocated

Rules

8 164×	`lower-fma.f32`
8 160×	`lower-fma.f64`
5 136×	`lower-*.f32`
5 134×	`lower-*.f64`
4 208×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	94
0	32	90
1	148	86
2	927	86
0	8410	82

Stop Event

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

Counts

8 → 180

Calls

Call 1

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

Outputs
(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(.f64 #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64)))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -3 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal -3 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64))) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 9 binary64)) (.f64 x #s(literal 27 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 27 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal -81 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 27 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 27 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -387420489 binary64) #s(literal -19683 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal 729 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 19683 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -387420489 binary64) #s(literal -19683 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 27 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal 729 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 19683 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 27 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64)) (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 x x) #s(literal 729 binary64))))))
(/.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))) (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64)) (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)))) (neg.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -81 binary64) (.f64 x x)))) (neg.f64 (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -387420489 binary64) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal 729 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 19683 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64) (+.f64 #s(literal 81 binary64) (.f64 (*.f64 x x) #s(literal 729 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 27 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)))
(.f64 (+.f64 #s(literal 9 binary64) (.f64 #s(literal -81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (.f64 x #s(literal 9 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -27 binary64))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -27 binary64))))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -27 binary64))) (-.f64 (+.f64 #s(literal 9 binary64) (.f64 x #s(literal -27 binary64))) (.f64 (*.f64 x x) #s(literal 81 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -27 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -27 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (.f64 x #s(literal 27 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (.f64 x #s(literal 27 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -9 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 27 binary64))) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 9 binary64)) (.f64 x #s(literal 27 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx ( (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))) #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))) (neg.f64 (/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))))
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(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/729 binary64)) #s(literal -1/19683 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 x #s(literal -1/243 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) #s(literal 1/9 binary64)) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1/9 binary64)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/387420489 binary64) #s(literal -1/7625597484987 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64)))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/531441 binary64) (-.f64 #s(literal 1/387420489 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/14348907 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/531441 binary64) #s(literal -1/387420489 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64)))))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/729 binary64)) #s(literal 1/19683 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/531441 binary64) #s(literal -1/387420489 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6561 binary64) (+.f64 #s(literal 1/531441 binary64) (.f64 (*.f64 x x) #s(literal 1/59049 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6561 binary64) #s(literal -1/531441 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/81 binary64)) #s(literal 1/729 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/9 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/729 binary64)) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 x #s(literal -1/243 binary64))))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/729 binary64)) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/81 binary64)) #s(literal -1/243 binary64))))))
(.f64 (fma.f64 x x #s(literal -1/9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/729 binary64)) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 x #s(literal -1/243 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64))))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/729 binary64)) #s(literal -1/19683 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64))) (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)))
(.f64 (+.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (.f64 x #s(literal 1/9 binary64)))))
(.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)) (fma.f64 x (*.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64))) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/729 binary64)) #s(literal -1/19683 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/531441 binary64) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64))) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64))) (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64))))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6561 binary64) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64))) (-.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64))) (.f64 (*.f64 x x) #s(literal 1/81 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/729 binary64)) #s(literal -1/19683 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64)))) (+.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)) (.f64 x #s(literal -1/243 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)) (.f64 x #s(literal -1/243 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/729 binary64)) #s(literal 1/19683 binary64))) (+.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal 1/729 binary64)) (.f64 x #s(literal -1/243 binary64))))

eval35.0ms (0.5%)

Memory: 0.9MiB live, 77.1MiB allocated
Compiler: Compiled 4 725 to 664 computations (85.9% saved)

prune27.0ms (0.4%)

Memory

-3.8MiB live, 72.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	272	5	277

Accuracy

100.0%

Counts

277 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.0%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓	46.1%	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	99.7%	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ 1 (+ x -1/3)) (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64))))
✓	46.4%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 125 to 55 computations (56% saved)

regimes8.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
46.4%	1	`x`
46.4%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify9.0ms (0.1%)

Memory

-22.4MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	14	8
2	18	8
3	20	8
4	21	8

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness141.0ms (2.2%)

Memory

9.7MiB live, 122.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess20.0ms (0.3%)

Memory: 32.5MiB live, 71.6MiB allocated
Compiler: Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	107
0	36	99
1	60	97
2	100	97
3	170	97
4	233	97
5	277	97
6	317	97
7	355	97
8	387	97
9	397	97
10	408	97
11	408	97
12	414	97
13	424	97
14	439	97
15	457	97
16	481	97
17	625	97
18	829	97
19	835	97
0	835	97

Iter	Nodes	Cost
0	27	117
0	37	113
1	63	107
2	104	107
3	161	107
4	207	107
5	232	107
6	240	107
0	240	107

Iter	Nodes	Cost
0	23	107
0	36	99
1	60	97
2	100	97
3	170	97
4	233	97
5	277	97
6	317	97
7	355	97
8	387	97
9	397	97
10	408	97
11	408	97
12	414	97
13	424	97
14	439	97
15	457	97
16	481	97
17	625	97
18	829	97
19	835	97
0	835	97

Iter	Nodes	Cost
0	27	117
0	37	113
1	63	107
2	104	107
3	161	107
4	207	107
5	232	107
6	240	107
0	240	107

start0.0ms (0%)

analyze0.0ms (0%)

sample990.0ms (15.2%)

explain61.0ms (0.9%)

preprocess14.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize132.0ms (2%)

series1.0ms (0%)

simplify5.0ms (0.1%)

rewrite888.0ms (13.6%)

eval59.0ms (0.9%)

prune147.0ms (2.3%)

simplify46.0ms (0.7%)

localize82.0ms (1.3%)

series7.0ms (0.1%)

simplify329.0ms (5%)

rewrite479.0ms (7.4%)

eval324.0ms (5%)

prune248.0ms (3.8%)

simplify14.0ms (0.2%)

localize185.0ms (2.8%)

series3.0ms (0%)

simplify342.0ms (5.3%)

rewrite390.0ms (6%)

eval178.0ms (2.7%)

prune164.0ms (2.5%)

simplify14.0ms (0.2%)

localize69.0ms (1.1%)

series2.0ms (0%)

simplify461.0ms (7.1%)

rewrite637.0ms (9.8%)

eval35.0ms (0.5%)

prune27.0ms (0.4%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

simplify9.0ms (0.1%)

soundness141.0ms (2.2%)

preprocess20.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	107
0	36	99
1	60	97
2	100	97
3	170	97
4	233	97
5	277	97
6	317	97
7	355	97
8	387	97
9	397	97
10	408	97
11	408	97
12	414	97
13	424	97
14	439	97
15	457	97
16	481	97
17	625	97
18	829	97
19	835	97
0	835	97

Iter	Nodes	Cost
0	27	117
0	37	113
1	63	107
2	104	107
3	161	107
4	207	107
5	232	107
6	240	107
0	240	107