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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample659.0ms (12.7%)

Memory

-0.6MiB live, 698.2MiB allocated

Samples

451.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-div: 250.0ms (81.9% of total)

ival-sub: 41.0ms (13.4% of total)

exact: 7.0ms (2.3% of total)

ival-true: 5.0ms (1.6% of total)

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

Bogosity

explain54.0ms (1%)

Memory

7.9MiB live, 83.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

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

ival-div: 4.0ms (54.7% of total)

ival-sub: 2.0ms (27.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.3%)

Memory

35.7MiB live, 35.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune7.0ms (0.1%)

Memory

-60.2MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.3%)

Memory

16.7MiB live, 16.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (56.8% of total)

ival-sub: 1.0ms (28.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

simplify20.0ms (0.4%)

Memory

-10.7MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

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

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

rewrite264.0ms (5.1%)

Memory

24.4MiB live, 478.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 313

Calls

Call 1

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

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

eval237.0ms (4.6%)

Memory: 9.7MiB live, 84.6MiB allocated
Compiler: Compiled 10 409 to 761 computations (92.7% saved)

prune191.0ms (3.7%)

Memory

-139.6MiB live, 106.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accuracy

100.0%

Counts

324 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	78.8%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
▶	44.9%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify42.0ms (0.8%)

Memory

-17.2MiB live, 60.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	37
0	20	37
1	30	37
2	44	36
3	70	36
4	88	36
5	133	35
6	291	35
7	742	35
8	1329	35
9	1349	35
10	1358	35
11	1364	35
12	1369	35
13	1371	35
0	1371	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (1.4%)

Memory

-1.7MiB live, 81.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.00390625	(fma.f64 x x #s(literal -1/9 binary64))
accuracy	0.0078125	(-.f64 #s(literal -1/3 binary64) x)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
accuracy	13.563788886867181	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
accuracy	35.28370403562257	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Samples

59.0ms

256×

valid

Compiler

Compiled 41 to 17 computations (58.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sub: 20.0ms (39.7% of total)

const: 18.0ms (35.7% of total)

ival-div: 7.0ms (13.9% of total)

ival-mult: 3.0ms (6% of total)

ival-add: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify291.0ms (5.6%)

Memory

4.9MiB live, 195.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	295
1	206	287
2	487	278
3	1347	274
4	3559	274
5	5806	274
6	7066	274
7	7373	274
8	7455	274
9	7470	274
10	7558	274
0	8068	259

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 66

Calls

Call 1

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

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

rewrite1.2s (22.4%)

Memory

-20.2MiB live, 340.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	30
0	20	23
1	77	23
2	484	23
3	5522	23
0	8617	23

Stop Event

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

Counts

6 → 777

Calls

Call 1

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

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

eval127.0ms (2.4%)

Memory: 19.1MiB live, 177.5MiB allocated
Compiler: Compiled 19 050 to 1 517 computations (92% saved)

prune97.0ms (1.9%)

Memory

-4.1MiB live, 155.9MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	842	1	843
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	842	4	846

Accuracy

100.0%

Counts

846 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	78.8%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
▶	44.3%	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓	44.9%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify26.0ms (0.5%)

Memory

-11.6MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
136×	`lower-*.f32`
134×	`lower-*.f64`
72×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	13	32
1	19	32
2	25	31
3	33	31
4	44	31
5	64	30
6	115	30
7	239	30
8	394	30
9	427	30
10	437	30
11	453	30
12	465	30
13	473	30
14	482	30
15	486	30
0	486	28

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

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

localize55.0ms (1.1%)

Memory

32.7MiB live, 70.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 #s(literal -1/3 binary64) x)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
accuracy	13.563788886867181	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
accuracy	35.90944574556403	#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))

Samples

22.0ms

256×

valid

Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

const: 6.0ms (43.6% of total)

ival-mult: 3.0ms (21.8% of total)

ival-div: 2.0ms (14.5% of total)

ival-sub: 1.0ms (7.3% of total)

ival-add: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify234.0ms (4.5%)

Memory

-0.3MiB live, 236.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	235
1	206	227
2	487	218
3	1347	214
4	3559	214
5	5806	214
6	7066	214
7	7373	214
8	7455	214
9	7470	214
10	7558	214
0	8068	199

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite241.0ms (4.6%)

Memory

-9.5MiB live, 425.6MiB allocated

Rules

4 362×	`lower-/.f32`
4 360×	`lower-/.f64`
2 874×	`lower-*.f32`
2 872×	`lower-*.f64`
2 640×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	13	28
1	57	27
2	339	26
3	2838	26
0	8680	24

Stop Event

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

Counts

4 → 582

Calls

Call 1

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

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

eval92.0ms (1.8%)

Memory: -0.7MiB live, 198.5MiB allocated
Compiler: Compiled 15 418 to 2 081 computations (86.5% saved)

prune306.0ms (5.9%)

Memory

-9.3MiB live, 184.0MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	627	1	628
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	628	4	632

Accuracy

100.0%

Counts

632 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	44.3%	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
▶	99.7%	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
✓	44.9%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 25 to 18 computations (28% saved)

simplify9.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

56×	`lower-+.f64`
56×	`lower-+.f32`
28×	`lower-fma.f32`
26×	`lower-fma.f64`
24×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
0	17	43
1	23	43
2	27	43
3	32	43
4	40	43
5	50	43
6	67	43
7	90	43
8	102	43
9	108	43
10	111	43
11	114	43
0	114	41

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 (- -1/3 x)) (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 (- -1/3 x)) (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)

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

localize296.0ms (5.7%)

Memory

-13.3MiB live, 64.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
accuracy	13.563788886867181	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
accuracy	35.664451446384355	#s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
accuracy	35.90944574556403	#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 32 to 15 computations (53.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-mult: 124.0ms (90.6% of total)

const: 6.0ms (4.4% of total)

ival-div: 2.0ms (1.5% of total)

ival-add: 2.0ms (1.5% of total)

ival-sub: 1.0ms (0.7% 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)

series1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify190.0ms (3.7%)

Memory

-8.6MiB live, 294.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 918×	`lower-fma.f64`
8 918×	`lower-fma.f32`
2 488×	`lower-*.f64`
2 488×	`lower-*.f32`
1 500×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	246
1	209	238
2	488	238
3	1180	234
4	3862	234
5	6913	234
6	7931	234
0	8022	210

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite268.0ms (5.2%)

Memory

8.4MiB live, 322.0MiB allocated

Rules

4 776×	`lower-fma.f32`
4 774×	`lower-fma.f64`
4 264×	`lower-*.f32`
4 262×	`lower-*.f64`
2 496×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	17	39
1	74	39
2	452	39
3	3781	39
0	8302	37

Stop Event

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

Counts

4 → 88

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: 4.5MiB live, 42.8MiB allocated
Compiler: Compiled 2 750 to 394 computations (85.7% saved)

prune14.0ms (0.3%)

Memory

3.8MiB live, 42.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	134	4	138

Accuracy

100.0%

Counts

138 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	44.3%	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
✓	99.7%	(.f64 #s(approx (+ ( x x) -1/9) #s(literal -1/9 binary64)) #s(approx (/ -1 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
✓	44.9%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 62 to 36 computations (41.9% saved)

regimes5.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

6 → 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 (- -1/3 x)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(.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 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)))

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

Calls

2 calls:

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

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)

regimes6.0ms (0.1%)

Memory

-36.0MiB live, 8.2MiB 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:

4.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
44.9%	1	`x`
44.9%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB 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))

soundness142.0ms (2.7%)

Memory

-11.8MiB live, 154.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess22.0ms (0.4%)

Memory: -19.6MiB live, 58.7MiB allocated
Compiler: Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	32
0	13	32
1	19	32
2	25	31
3	33	31
4	44	31
5	64	30
6	115	30
7	239	30
8	394	30
9	427	30
10	437	30
11	453	30
12	465	30
13	473	30
14	482	30
15	486	30
0	486	28

Iter	Nodes	Cost
0	14	43
0	17	43
1	23	43
2	27	43
3	32	43
4	40	43
5	50	43
6	67	43
7	90	43
8	102	43
9	108	43
10	111	43
11	114	43
0	114	41

Iter	Nodes	Cost
0	10	32
0	13	32
1	19	32
2	25	31
3	33	31
4	44	31
5	64	30
6	115	30
7	239	30
8	394	30
9	427	30
10	437	30
11	453	30
12	465	30
13	473	30
14	482	30
15	486	30
0	486	28

Iter	Nodes	Cost
0	14	43
0	17	43
1	23	43
2	27	43
3	32	43
4	40	43
5	50	43
6	67	43
7	90	43
8	102	43
9	108	43
10	111	43
11	114	43
0	114	41

start0.0ms (0%)

analyze0.0ms (0%)

sample659.0ms (12.7%)

explain54.0ms (1%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune7.0ms (0.1%)

simplify5.0ms (0.1%)

localize14.0ms (0.3%)

series1.0ms (0%)

simplify20.0ms (0.4%)

rewrite264.0ms (5.1%)

eval237.0ms (4.6%)

prune191.0ms (3.7%)

simplify42.0ms (0.8%)

localize71.0ms (1.4%)

series3.0ms (0.1%)

simplify291.0ms (5.6%)

rewrite1.2s (22.4%)

eval127.0ms (2.4%)

prune97.0ms (1.9%)

simplify26.0ms (0.5%)

localize55.0ms (1.1%)

series1.0ms (0%)

simplify234.0ms (4.5%)

rewrite241.0ms (4.6%)

eval92.0ms (1.8%)

prune306.0ms (5.9%)

simplify9.0ms (0.2%)

localize296.0ms (5.7%)

series1.0ms (0%)

simplify190.0ms (3.7%)

rewrite268.0ms (5.2%)

eval16.0ms (0.3%)

prune14.0ms (0.3%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

simplify6.0ms (0.1%)

soundness142.0ms (2.7%)

preprocess22.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	32
0	13	32
1	19	32
2	25	31
3	33	31
4	44	31
5	64	30
6	115	30
7	239	30
8	394	30
9	427	30
10	437	30
11	453	30
12	465	30
13	473	30
14	482	30
15	486	30
0	486	28

Iter	Nodes	Cost
0	14	43
0	17	43
1	23	43
2	27	43
3	32	43
4	40	43
5	50	43
6	67	43
7	90	43
8	102	43
9	108	43
10	111	43
11	114	43
0	114	41