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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample472.0ms (5.9%)

Memory

4.9MiB live, 1 040.1MiB allocated

Samples

323.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-div: 88.0ms (51% of total)

ival-sub: 69.0ms (40% of total)

exact: 7.0ms (4.1% of total)

ival-true: 5.0ms (2.9% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

preprocess171.0ms (2.1%)

Memory

-6.7MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	39	6
3	63	6
4	96	6
5	104	6
6	106	6
0	6	3
1	11	3
2	12	3
0	12	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- x (/ 1 3))

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

explain68.0ms (0.8%)

Memory

16.8MiB live, 96.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

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: 5.0ms (62.7% of total)

ival-sub: 2.0ms (25.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`1-exp`
2×	`--lowering--.f32`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	12	7
0	12	7

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize19.0ms (0.2%)

Memory

-10.9MiB live, 26.5MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (46.8% of total)

ival-sub: 2.0ms (46.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 12

Calls

Call 1

Inputs
#<alt (/ 1 3)>
#<alt (- x (/ 1 3))>

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

Calls

3 calls:

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

rewrite355.0ms (4.4%)

Memory

2.5MiB live, 611.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 912×	`accelerator-lowering-fma.f32`
6 912×	`accelerator-lowering-fma.f64`
4 474×	`-lowering-.f32`
4 474×	`-lowering-.f64`
3 944×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	25	4
2	127	4
3	973	4
0	8520	4

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 313

Calls

Call 1

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

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

simplify23.0ms (0.3%)

Memory

4.6MiB live, 41.3MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`accelerator-lowering-fma.f32`
192×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
96×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

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

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

eval43.0ms (0.5%)

Memory: -31.3MiB live, 102.4MiB allocated
Compiler: Compiled 10 401 to 760 computations (92.7% saved)

prune39.0ms (0.5%)

Memory

27.5MiB live, 104.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	318	7	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	319	7	326

Accuracy

100.0%

Counts

326 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))
	61.3%	(/.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)))
▶	72.3%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	72.2%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)))
▶	54.4%	x
▶	46.3%	#s(literal -1/3 binary64)

Compiler

Compiled 126 to 80 computations (36.5% saved)

simplify8.0ms (0.1%)

Memory

-25.8MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

54×	`-lowering-.f32`
54×	`-lowering-.f64`
34×	`accelerator-lowering-fma.f32`
34×	`accelerator-lowering-fma.f64`
16×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	21	53
2	32	53
3	56	53
4	75	53
5	82	53
0	82	49

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x 1/3)
x
1/3
-1/3
x
(/ (+ (* x x) -1/9) (+ 1/3 x))
(+ (* x x) -1/9)
x
-1/9
(+ 1/3 x)
1/3
(* (+ (* x x) -1/9) (/ 1 (+ 1/3 x)))
(+ (* x x) -1/9)
x
-1/9
(/ 1 (+ 1/3 x))
1
(+ 1/3 x)
1/3

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

localize211.0ms (2.6%)

Memory

16.6MiB live, 97.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1/9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x))
✓	accuracy	72.3%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1/9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) x)
✓	accuracy	72.3%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
✓	accuracy	100.0%	(-.f64 x #s(literal 1/3 binary64))

Samples

193.0ms

256×

valid

Compiler

Compiled 53 to 14 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-div: 167.0ms (91.1% of total)

const: 9.0ms (4.9% of total)

ival-mult: 3.0ms (1.6% of total)

ival-add: 2.0ms (1.1% of total)

ival-sub: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (- x 1/3)>
#<alt (/ (+ (* x x) -1/9) (+ 1/3 x))>
#<alt (+ (* x x) -1/9)>
#<alt (+ 1/3 x)>
#<alt (* (+ (* x x) -1/9) (/ 1 (+ 1/3 x)))>
#<alt (/ 1 (+ 1/3 x))>

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

Calls

18 calls:

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

rewrite1.1s (13.1%)

Memory

-38.2MiB live, 421.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 382×	`-lowering-.f32`
3 382×	`-lowering-.f64`
2 912×	`accelerator-lowering-fma.f32`
2 912×	`accelerator-lowering-fma.f64`
2 674×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	71	22
2	493	22
3	5427	22
0	8161	21

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 1 113

Calls

Call 1

Inputs
(- x 1/3)
(/ (+ (* x x) -1/9) (+ 1/3 x))
(+ (* x x) -1/9)
(+ 1/3 x)
(* (+ (* x x) -1/9) (/ 1 (+ 1/3 x)))
(/ 1 (+ 1/3 x))

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

simplify1.0s (12.6%)

Memory

13.7MiB live, 444.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 434×	`accelerator-lowering-fma.f32`
8 434×	`accelerator-lowering-fma.f64`
2 424×	`-lowering-.f32`
2 424×	`-lowering-.f64`
1 430×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	284
1	200	276
2	450	276
3	1246	272
4	3431	272
5	6440	272
6	7361	272
7	7566	272
8	7621	272
9	7633	272
10	7685	272
0	8053	257

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval165.0ms (2%)

Memory: 34.2MiB live, 457.4MiB allocated
Compiler: Compiled 31 969 to 1 788 computations (94.4% saved)

prune110.0ms (1.4%)

Memory

-2.6MiB live, 277.3MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 421	3	1 424
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	1 423	8	1 431

Accuracy

100.0%

Counts

1 431 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))
▶	61.3%	(/.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)))
✓	72.3%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	45.3%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
▶	45.9%	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)))
✓	54.4%	x
✓	46.3%	#s(literal -1/3 binary64)

Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify357.0ms (4.4%)

Memory

-19.5MiB live, 540.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))
✓	cost-diff	384	(fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64)))
✓	cost-diff	0	(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal -1/9 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/3 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	320	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)))

Rules

14 996×	`accelerator-lowering-fma.f32`
14 996×	`accelerator-lowering-fma.f64`
4 304×	`-lowering-.f32`
4 304×	`-lowering-.f64`
2 466×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	136
1	74	136
2	158	136
3	291	132
4	452	132
5	1325	132
6	4585	128
7	7972	128
0	8050	117

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize101.0ms (1.3%)

Memory

32.3MiB live, 186.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64)))
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.7%	(*.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))
✓	accuracy	62.0%	(/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))
✓	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	100.0%	(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
✓	accuracy	62.0%	(/.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%	(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓	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)) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.7%	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)))

Samples

58.0ms	252×	0	valid
1.0ms	2×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 134 to 31 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

const: 15.0ms (35% of total)

ival-mult: 13.0ms (30.3% of total)

ival-add: 8.0ms (18.7% of total)

ival-div: 5.0ms (11.7% of total)

ival-sub: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

-25.0MiB live, 25.2MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (* -1/9 (/ 1 (+ 1/3 x)))>
#<alt (/ 1 (+ 1/3 x))>
#<alt (+ 1/3 x)>
#<alt (* (+ (* x x) -1/9) (+ (* x -9) 3))>
#<alt (+ (* x x) -1/9)>
#<alt (+ (* x -9) 3)>
#<alt (/ (+ (* x (* x x)) -1/27) (+ (* x (+ x 1/3)) 1/9))>
#<alt (+ (* x (* x x)) -1/27)>
#<alt (* x x)>
#<alt (+ (* x (+ x 1/3)) 1/9)>
#<alt (+ (* (* x x) (+ 1/3 x)) (* (- -1/3 x) 1/9))>
#<alt (* (- -1/3 x) 1/9)>
#<alt (* (+ 1/3 x) (+ 1/3 x))>
#<alt (/ (+ (* (* x x) (+ 1/3 x)) (* (- -1/3 x) 1/9)) (* (+ 1/3 x) (+ 1/3 x)))>
#<alt (+ x 1/3)>

Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- (* x (+ 1 (* -3 x))) 1/3)>
#<alt (- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)>
#<alt (/ -1/9 x)>
#<alt (/ (- (* 1/27 (/ 1 x)) 1/9) x)>
#<alt (/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt 1/3>
#<alt (+ 1/3 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 (- x 1/3)>
#<alt (- (* x (+ 1 (* 3 x))) 1/3)>
#<alt (- (* x (+ 1 (* x (+ 3 (* -9 x))))) 1/3)>
#<alt (* -9 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 9))>
#<alt (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9))>
#<alt (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) (+ 9 (* 1/3 (/ 1 (pow x 3))))))>
#<alt (* -9 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 9 (* -1 (/ (+ 3 (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))) x)))))>
#<alt -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* x (- (* 3 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 3 (/ 1 x)))))>
#<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 (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<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 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<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 (+ 1/3 x)))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<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 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt -1/27>
#<alt (- (* -1/9 x) 1/27)>
#<alt (- (* x (- (* 1/3 x) 1/9)) 1/27)>
#<alt (- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))>
#<alt -1/27>
#<alt (- (* -1/9 x) 1/27)>
#<alt (- (* -1/9 x) 1/27)>
#<alt (- (* -1/9 x) 1/27)>
#<alt (* -1/9 x)>
#<alt (* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))>
#<alt (* -1/9 x)>
#<alt (* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))>
#<alt 1/9>
#<alt (+ 1/9 (* 2/3 x))>
#<alt (+ 1/9 (* x (+ 2/3 x)))>
#<alt (+ 1/9 (* x (+ 2/3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<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

45 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ x 1/3)) 1/9))
1.0ms	x	@	0	(/ (+ (* (* x x) (+ 1/3 x)) (* (- -1/3 x) 1/9)) (* (+ 1/3 x) (+ 1/3 x)))
1.0ms	x	@	-inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ x 1/3)) 1/9))
0.0ms	x	@	0	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ x 1/3)) 1/9))
0.0ms	x	@	inf	(+ (* x -9) 3)

rewrite497.0ms (6.2%)

Memory

28.7MiB live, 661.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 566×	`/-lowering-/.f32`
5 566×	`/-lowering-/.f64`
3 894×	`-lowering-.f32`
3 894×	`-lowering-.f64`
3 590×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	107
1	192	107
2	1685	107
0	8440	99

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 124

Calls

Call 1

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

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

simplify407.0ms (5.1%)

Memory

21.1MiB live, 598.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 004×	`accelerator-lowering-fma.f32`
13 004×	`accelerator-lowering-fma.f64`
3 860×	`-lowering-.f32`
3 860×	`-lowering-.f64`
3 840×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	1122
1	645	1097
2	1838	1069
3	4615	1060
0	8445	1001

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- (* x (+ 1 (* -3 x))) 1/3)
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)
(/ -1/9 x)
(/ (- (* 1/27 (/ 1 x)) 1/9) x)
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/ -1/9 x)
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
1/3
(+ 1/3 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
(- x 1/3)
(- (* x (+ 1 (* 3 x))) 1/3)
(- (* x (+ 1 (* x (+ 3 (* -9 x))))) 1/3)
(* -9 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 9))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) (+ 9 (* 1/3 (/ 1 (pow x 3))))))
(* -9 (pow x 3))
(* -1 (* (pow x 3) (- 9 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 9 (* -1 (/ (+ 3 (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))) x)))))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
3
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(+ 3 (* -9 x))
(* -9 x)
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* x (- (* 3 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
-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
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(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)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(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 (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(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 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
-1/27
(- (* -1/9 x) 1/27)
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(- (* x (- (* x (+ 1/3 x)) 1/9)) 1/27)
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/3 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
-1/27
(- (* -1/9 x) 1/27)
(- (* -1/9 x) 1/27)
(- (* -1/9 x) 1/27)
(* -1/9 x)
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1/9 x)
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
1/9
(+ 1/9 (* 2/3 x))
(+ 1/9 (* x (+ 2/3 x)))
(+ 1/9 (* x (+ 2/3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
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)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- (* x (+ 1 (* -3 x))) 1/3)
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- (* 1/27 (/ 1 x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) x)
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) (/.f64 #s(literal 1/243 binary64) (.f64 x (.f64 x x)))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal -1/81 binary64)) x)) x)) x)
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 27 x) 9)))
(fma.f64 x (fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -81 binary64) #s(literal 27 binary64)) #s(literal -9 binary64)) #s(literal 3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.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
(* 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))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- (* x (+ 1 (* 3 x))) 1/3)
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(- (* x (+ 1 (* x (+ 3 (* -9 x))))) 1/3)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(* -9 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -9 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 9))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) x))))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9))
(.f64 x (fma.f64 (.f64 x x) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) (+ 9 (* 1/3 (/ 1 (pow x 3))))))
(.f64 x (fma.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 3 binary64) x) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)))
(* -9 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -9 binary64))))
(* -1 (* (pow x 3) (- 9 (* 3 (/ 1 x)))))
(.f64 (.f64 x x) (*.f64 x (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) x))))
(* -1 (* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -9 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) x)))
(* -1 (* (pow x 3) (+ 9 (* -1 (/ (+ 3 (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))) x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -9 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/9 binary64) (.f64 x x)) x))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/9 binary64) (.f64 x x)) x))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/9 binary64) (.f64 x x)) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/9 binary64) (.f64 x x)) x))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/9 binary64) (.f64 x x)) x))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (/.f64 #s(literal -1/9 binary64) (.f64 x x)) x))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(+ 3 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 3 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) x)))
(* -1 (* x (- 9 (* 3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 3 binary64) x)))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(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)))))
(.f64 (.f64 x x) (fma.f64 x (/.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x))) x))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(.f64 (.f64 x x) (fma.f64 x (/.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x))) x))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(.f64 (.f64 x x) (fma.f64 x (/.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x))) x))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(.f64 (.f64 x x) (fma.f64 x (/.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(.f64 (.f64 x x) (fma.f64 x (/.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(.f64 (.f64 x x) (fma.f64 x (/.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x))) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/9
#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 (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(.f64 x (+.f64 x (fma.f64 x (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(.f64 x (+.f64 x (fma.f64 x (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1/3 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 (fma.f64 x (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(.f64 x (+.f64 x (fma.f64 x (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
-1/27
#s(literal -1/27 binary64)
(- (* -1/9 x) 1/27)
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
(- (* x (- (* 1/3 x) 1/9)) 1/27)
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/9 binary64)) #s(literal -1/27 binary64))
(- (* x (- (* x (+ 1/3 x)) 1/9)) 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 (* 1/3 (/ 1 x))) (/ 1/9 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (fma.f64 x (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) x)))
(* (pow x 3) (+ 1 (+ (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) (*.f64 x x)) (+.f64 x #s(literal 1/3 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)))
(* -1 (* (pow x 3) (- (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)) 1)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (fma.f64 x (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))) x)) 1)))
(.f64 (.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) (*.f64 x x)) (+.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))
(- (* -1/9 x) 1/27)
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
(- (* -1/9 x) 1/27)
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
(* -1 (* x (+ 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 2/3 x))
(fma.f64 x #s(literal 2/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 2/3 x)))
(fma.f64 x (+.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 2/3 x)))
(fma.f64 x (+.f64 x #s(literal 2/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))
(*.f64 x (fma.f64 x (/.f64 #s(literal 2/3 binary64) x) x))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) x)) x))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) x)) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (/ 1 x))))
(*.f64 x (fma.f64 x (/.f64 #s(literal 2/3 binary64) x) x))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) x)) x))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 2/3 (/ 1 x)))))
(.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 2/3 binary64) x)) x))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.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
(* 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))

eval257.0ms (3.2%)

Memory: 13.2MiB live, 444.3MiB allocated
Compiler: Compiled 52 931 to 4 046 computations (92.4% saved)

prune455.0ms (5.6%)

Memory

-23.0MiB live, 398.5MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 589	2	1 591
Fresh	0	0	0
Picked	3	1	4
Done	1	3	4
Total	1 593	6	1 599

Accuracy

100.0%

Counts

1 599 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	99.7%	(*.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
✓	45.9%	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)))
✓	54.4%	x
✓	46.3%	#s(literal -1/3 binary64)

Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify766.0ms (9.5%)

Memory

1.2MiB live, 831.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	384	(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64)))
✓	cost-diff	896	(/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))
✓	cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓	cost-diff	512	(*.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))

Rules

26 416×	`accelerator-lowering-fma.f32`
26 416×	`accelerator-lowering-fma.f64`
5 734×	`-lowering-.f32`
5 734×	`-lowering-.f64`
4 336×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	49	66
2	107	64
3	184	64
4	429	64
5	1753	60
6	3141	60
7	3517	52
8	4352	52
9	5633	52
10	5944	52
11	6291	52
0	8886	47

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize56.0ms (0.7%)

Memory

6.5MiB live, 123.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64)))
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.7%	(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
✓	accuracy	62.0%	(/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x)))
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))
✓	accuracy	99.7%	(*.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))

Samples

33.0ms	252×	0	valid
2.0ms	2×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 67 to 19 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (38.8% of total)

const: 9.0ms (34.9% of total)

ival-add: 4.0ms (15.5% of total)

ival-div: 2.0ms (7.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (* -1/9 (+ (* x -9) 3))>
#<alt (+ (* x -9) 3)>
#<alt (/ (+ (* (* x x) (+ 1/3 x)) (+ (* x -1/9) -1/27)) (* (+ 1/3 x) (+ 1/3 x)))>
#<alt (+ (* (* x x) (+ 1/3 x)) (+ (* x -1/9) -1/27))>
#<alt (* (+ 1/3 x) (+ 1/3 x))>
#<alt (* x x)>
#<alt (+ (* x -1/9) -1/27)>

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

Calls

21 calls:

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

rewrite619.0ms (7.7%)

Memory

-38.8MiB live, 788.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 546×	`accelerator-lowering-fma.f32`
11 546×	`accelerator-lowering-fma.f64`
5 444×	`-lowering-.f32`
5 444×	`-lowering-.f64`
3 600×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	113	51
2	953	49
0	8699	43

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 605

Calls

Call 1

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

Outputs
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(-.f64 x #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -9 binary64)) #s(literal -1/3 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -9 binary64) (*.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal -9 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1/3 binary64))
(/.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x #s(literal -1/3 binary64))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -27 binary64)))) (fma.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -3 binary64)) (fma.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal -27 binary64)))) (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 27 binary64)) #s(literal -1/9 binary64))))
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(*.f64 (exp.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))) (exp.f64 (log.f64 (+.f64 x #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal -1/9 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(*.f64 x x)
(.f64 #s(literal -9 binary64) (.f64 #s(literal -1/9 binary64) (*.f64 x x)))
(.f64 (.f64 x #s(literal -9 binary64)) (*.f64 #s(literal -1/9 binary64) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1/9 binary64) x) (*.f64 x #s(literal -9 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 1/81 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 81 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal 1/81 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))
(.f64 #s(literal 81 binary64) (.f64 (*.f64 x x) #s(literal 1/81 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -9 binary64))) #s(literal -1/9 binary64))
(.f64 (.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal -9 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal -1/27 binary64))
(+.f64 #s(literal -1/27 binary64) (*.f64 #s(literal -1/9 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (neg.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))
(-.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 x #s(literal 1/9 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (+.f64 #s(literal -1/27 binary64) (.f64 x #s(literal 1/9 binary64)))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))
(fma.f64 x #s(literal -1/9 binary64) #s(literal -1/27 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (neg.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))))
(neg.f64 (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/27 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/729 binary64) #s(literal -1/19683 binary64)) (+.f64 #s(literal 1/729 binary64) (fma.f64 x #s(literal -1/243 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/729 binary64) #s(literal -1/19683 binary64)) (+.f64 #s(literal 1/729 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/81 binary64)) #s(literal 1/243 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/729 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/81 binary64)) #s(literal 1/243 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/729 binary64) #s(literal -1/19683 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 x #s(literal 1/9 binary64))) (-.f64 #s(literal 1/729 binary64) (.f64 (*.f64 x x) #s(literal 1/81 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/729 binary64) #s(literal -1/19683 binary64))) (neg.f64 (+.f64 #s(literal 1/729 binary64) (fma.f64 x #s(literal -1/243 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/729 binary64) #s(literal -1/19683 binary64))) (neg.f64 (+.f64 #s(literal 1/729 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/81 binary64)) #s(literal 1/243 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64))) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) (+.f64 #s(literal -1/27 binary64) (*.f64 x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/729 binary64) #s(literal -1/19683 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (fma.f64 x #s(literal -1/243 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64)))) (neg.f64 (+.f64 #s(literal -1/27 binary64) (*.f64 x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (fma.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))) (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))) (.f64 (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))) (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 #s(literal -1/729 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/729 binary64) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (fma.f64 x #s(literal -1/243 binary64) (.f64 (*.f64 x x) #s(literal 1/81 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/729 binary64) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 1/81 binary64)) #s(literal 1/243 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) x #s(literal -1/27 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/729 binary64) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/729 binary64) (fma.f64 x #s(literal -1/243 binary64) (.f64 (*.f64 x x) #s(literal 1/81 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/81 binary64)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))))
(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (.f64 x #s(literal 1/9 binary64)))))

simplify316.0ms (3.9%)

Memory

-1.8MiB live, 634.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 378×	`accelerator-lowering-fma.f32`
13 378×	`accelerator-lowering-fma.f64`
3 724×	`-lowering-.f32`
3 724×	`-lowering-.f64`
1 466×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	374
1	238	370
2	673	358
3	2043	350
4	6078	350
0	8275	314

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval155.0ms (1.9%)

Memory: 7.6MiB live, 193.7MiB allocated
Compiler: Compiled 23 851 to 1 956 computations (91.8% saved)

prune94.0ms (1.2%)

Memory

8.5MiB live, 173.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	688	1	689
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	689	6	695

Accuracy

100.0%

Counts

695 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	99.7%	(*.f64 #s(literal -1/9 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
✓	45.9%	(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)))
	99.7%	(.f64 #s(literal -1/9 binary64) (+.f64 (.f64 x #s(literal -9 binary64)) #s(literal 3 binary64)))
✓	54.4%	x
✓	46.3%	#s(literal -1/3 binary64)

Compiler

Compiled 154 to 65 computations (57.8% saved)

regimes27.0ms (0.3%)

Memory

-15.5MiB live, 23.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
4.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.0%	3	`x`
97.0%	3	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/3 binary64)

Outputs
#s(literal -1/3 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
46.3%	1	`x`
46.3%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.33315150789613307	695.1637067409639
0.0ms	-1.4012169278225337	-0.3940886851206752

Compiler

Compiled 9 to 9 computations (0% saved)

simplify10.0ms (0.1%)

Memory

-16.9MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`sub-neg_binary64`
10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	24	23
2	34	23
3	42	23
4	50	23
5	51	23

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)) x (if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal -1/3 binary64) x))

#s(literal -1/3 binary64)

Outputs
(-.f64 x #s(literal 1/3 binary64))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)) x (if (<=.f64 (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal -1/3 binary64) x))
(if (<=.f64 (+.f64 x (/.f64 #s(literal -1 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)) x (if (<=.f64 (+.f64 x (/.f64 #s(literal -1 binary64) #s(literal 3 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal -1/3 binary64) x))
#s(literal -1/3 binary64)

soundness125.0ms (1.6%)

Memory

11.0MiB live, 124.2MiB allocated

Rules

6 912×	`accelerator-lowering-fma.f32`
6 912×	`accelerator-lowering-fma.f64`
4 474×	`-lowering-.f32`
4 474×	`-lowering-.f64`
3 944×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	25	4
2	127	4
3	973	4
0	8520	4
0	13	30
1	32	30
2	75	30
3	158	30
4	412	30
5	523	30
6	576	30
7	599	30
8	601	30
0	601	30

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 34 to 21 computations (38.2% saved)

preprocess24.0ms (0.3%)

Memory: 33.7MiB live, 72.9MiB allocated
Compiler: Compiled 60 to 36 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample472.0ms (5.9%)

preprocess171.0ms (2.1%)

explain68.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite355.0ms (4.4%)

simplify23.0ms (0.3%)

eval43.0ms (0.5%)

prune39.0ms (0.5%)

simplify8.0ms (0.1%)

localize211.0ms (2.6%)

series3.0ms (0%)

rewrite1.1s (13.1%)

simplify1.0s (12.6%)

eval165.0ms (2%)

prune110.0ms (1.4%)

simplify357.0ms (4.4%)

localize101.0ms (1.3%)

series15.0ms (0.2%)

rewrite497.0ms (6.2%)

simplify407.0ms (5.1%)

eval257.0ms (3.2%)

prune455.0ms (5.6%)

simplify766.0ms (9.5%)

localize56.0ms (0.7%)

series2.0ms (0%)

rewrite619.0ms (7.7%)

simplify316.0ms (3.9%)

eval155.0ms (1.9%)

prune94.0ms (1.2%)

regimes27.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness125.0ms (1.6%)

preprocess24.0ms (0.3%)

end0.0ms (0%)

Profiling