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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample767.0ms (13.9%)

Memory

-178.2MiB live, 814.4MiB allocated

Samples

289.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-div: 82.0ms (56.4% of total)

ival-add: 48.0ms (33% of total)

exact: 7.0ms (4.8% of total)

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

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

Bogosity

preprocess18.0ms (0.3%)

Memory

-3.1MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain50.0ms (0.9%)

Memory

39.5MiB live, 117.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

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

ival-div: 4.0ms (52.4% of total)

ival-add: 2.0ms (26.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Memory

-39.8MiB live, 1.8MiB 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

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

0.5MiB live, 39.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 3.0ms (60.8% of total)

ival-add: 2.0ms (40.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

2 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

simplify6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

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

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

rewrite671.0ms (12.2%)

Memory

3.0MiB live, 561.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 265

Calls

Call 1

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

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

eval156.0ms (2.8%)

Memory: 4.1MiB live, 45.2MiB allocated
Compiler: Compiled 7 860 to 630 computations (92% saved)

prune55.0ms (1%)

Memory

-13.0MiB live, 63.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	271	4	275
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	272	4	276

Accuracy

100.0%

Counts

276 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.1%	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))))
▶	70.2%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	52.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify13.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

220×	`lower-fma.f32`
212×	`lower-fma.f64`
140×	`lower-+.f32`
138×	`lower-+.f64`
68×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	98
0	35	90
1	62	88
2	100	88
3	145	88
4	179	88
5	199	88
6	205	88
0	205	88

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

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

localize162.0ms (2.9%)

Memory

3.2MiB live, 120.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64))
✓	accuracy	99.9%	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	67.1%	(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
✓	accuracy	71.0%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	accuracy	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	accuracy	52.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Samples

103.0ms

256×

valid

Compiler

Compiled 109 to 25 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 38.0ms (56.3% of total)

const: 15.0ms (22.2% of total)

ival-mult: 8.0ms (11.9% of total)

ival-div: 5.0ms (7.4% of total)

ival-sub: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series106.0ms (1.9%)

Memory

-30.6MiB live, 8.0MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ (* x (* x (* x x))) -1/81) (* (+ (* x x) 1/9) (+ x -1/3)))
1.0ms	x	@	inf	(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))
1.0ms	x	@	0	(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))
1.0ms	x	@	inf	(/ (+ (* x (* x (* x x))) -1/81) (* (+ (* x x) 1/9) (+ x -1/3)))
0.0ms	x	@	-inf	(/ (+ (* x (* x x)) 1/27) (+ (* x (+ x -1/3)) 1/9))

simplify401.0ms (7.3%)

Memory

-6.7MiB live, 537.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 434×	`lower-fma.f64`
14 434×	`lower-fma.f32`
3 040×	`lower-*.f64`
3 040×	`lower-*.f32`
1 698×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	552
1	235	536
2	665	524
3	2398	492
4	6748	492
0	8088	482

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 122

Calls

Call 1

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

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

rewrite460.0ms (8.3%)

Memory

36.1MiB live, 857.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 544×	`lower-fma.f32`
7 536×	`lower-fma.f64`
4 442×	`lower-*.f32`
4 436×	`lower-*.f64`
4 156×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	77
0	35	48
1	151	47
2	1098	47
0	8921	47

Stop Event

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

Counts

11 → 1 190

Calls

Call 1

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

eval222.0ms (4%)

Memory: -1.5MiB live, 355.2MiB allocated
Compiler: Compiled 48 101 to 2 615 computations (94.6% saved)

prune153.0ms (2.8%)

Memory

11.3MiB live, 250.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 449	1	1 450
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 450	4	1 454

Accuracy

100.0%

Counts

1 454 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
▶	52.4%	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	52.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify54.0ms (1%)

Memory

-18.2MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

216×	`lower-fma.f32`
214×	`lower-fma.f64`
132×	`lower-+.f32`
130×	`lower-+.f64`
64×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	17	46
1	34	42
2	65	42
3	111	42
4	154	42
5	179	42
6	187	42
0	187	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.9%)

Memory

11.5MiB live, 87.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal 1/9 binary64))
✓	accuracy	99.9%	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
✓	accuracy	67.1%	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))))
✓	accuracy	51.8%	#s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64))

Samples

37.0ms

256×

valid

Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

const: 16.0ms (55.5% of total)

ival-mult: 7.0ms (24.3% of total)

ival-add: 4.0ms (13.9% of total)

ival-div: 2.0ms (6.9% of total)

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

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

series1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify340.0ms (6.2%)

Memory

-33.7MiB live, 414.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 748×	`lower-fma.f64`
11 748×	`lower-fma.f32`
2 594×	`lower-*.f64`
2 594×	`lower-*.f32`
2 382×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	256
1	205	248
2	547	248
3	1814	232
4	4860	224
5	7820	224
0	8523	206

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite314.0ms (5.7%)

Memory

24.3MiB live, 461.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 374×	`lower-*.f32`
4 372×	`lower-*.f64`
4 338×	`lower-fma.f32`
4 336×	`lower-fma.f64`
3 544×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
0	17	39
1	83	35
2	564	35
3	7426	35
0	8322	35

Stop Event

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

Counts

4 → 392

Calls

Call 1

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

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

eval51.0ms (0.9%)

Memory: 15.6MiB live, 124.5MiB allocated
Compiler: Compiled 12 064 to 1 300 computations (89.2% saved)

prune55.0ms (1%)

Memory

-12.2MiB live, 140.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	437	1	438
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	438	4	442

Accuracy

100.0%

Counts

442 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
▶	52.6%	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -1/27 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	52.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify11.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

216×	`lower-fma.f32`
212×	`lower-fma.f64`
132×	`lower-+.f64`
132×	`lower-+.f32`
64×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
0	22	69
1	47	65
2	91	65
3	117	65
4	152	65
5	167	65
0	167	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (1.1%)

Memory

-33.0MiB live, 128.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
✓	accuracy	67.1%	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -1/27 binary64))))
✓	accuracy	62.6%	#s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -1/27 binary64)))
✓	accuracy	51.8%	#s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64))

Samples

41.0ms

256×

valid

Compiler

Compiled 58 to 19 computations (67.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 11.0ms (36.6% of total)

const: 11.0ms (36.6% of total)

ival-add: 6.0ms (19.9% of total)

ival-div: 3.0ms (10% of total)

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

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

series2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

simplify540.0ms (9.8%)

Memory

-20.8MiB live, 352.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 628×	`lower-fma.f64`
10 628×	`lower-fma.f32`
2 804×	`lower-*.f64`
2 804×	`lower-*.f32`
1 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	368
1	216	360
2	603	348
3	2075	332
4	5620	332
0	8112	303

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

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

rewrite357.0ms (6.5%)

Memory

19.9MiB live, 571.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 094×	`lower-fma.f32`
8 090×	`lower-fma.f64`
5 550×	`lower-*.f64`
5 550×	`lower-*.f32`
4 124×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	68
0	22	64
1	117	60
2	844	60
0	8511	58

Stop Event

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

Counts

5 → 160

Calls

Call 1

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

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

eval233.0ms (4.2%)

Memory: 11.8MiB live, 49.1MiB allocated
Compiler: Compiled 4 990 to 638 computations (87.2% saved)

prune37.0ms (0.7%)

Memory

8.1MiB live, 49.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	218	4	222

Accuracy

100.0%

Counts

222 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	52.6%	(/.f64 #s(approx (+ (* x (* x (* x x))) -1/81) #s(literal -1/81 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x -1/3)) (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)) #s(literal -1/27 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	52.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 96 to 48 computations (50% saved)

regimes7.0ms (0.1%)

Memory

-23.4MiB live, 15.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB 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))

soundness115.0ms (2.1%)

Memory

-24.9MiB live, 131.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess19.0ms (0.3%)

Memory: 13.3MiB live, 52.0MiB allocated
Compiler: Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample767.0ms (13.9%)

preprocess18.0ms (0.3%)

explain50.0ms (0.9%)

eval0.0ms (0%)

prune4.0ms (0.1%)

simplify5.0ms (0.1%)

localize16.0ms (0.3%)

series1.0ms (0%)

simplify6.0ms (0.1%)

rewrite671.0ms (12.2%)

eval156.0ms (2.8%)

prune55.0ms (1%)

simplify13.0ms (0.2%)

localize162.0ms (2.9%)

series106.0ms (1.9%)

simplify401.0ms (7.3%)

rewrite460.0ms (8.3%)

eval222.0ms (4%)

prune153.0ms (2.8%)

simplify54.0ms (1%)

localize50.0ms (0.9%)

series1.0ms (0%)

simplify340.0ms (6.2%)

rewrite314.0ms (5.7%)

eval51.0ms (0.9%)

prune55.0ms (1%)

simplify11.0ms (0.2%)

localize59.0ms (1.1%)

series2.0ms (0%)

simplify540.0ms (9.8%)

rewrite357.0ms (6.5%)

eval233.0ms (4.2%)

prune37.0ms (0.7%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.1%)

soundness115.0ms (2.1%)

preprocess19.0ms (0.3%)

end0.0ms (0%)

Profiling