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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample485.0ms (9.3%)

Memory

20.1MiB live, 871.4MiB allocated

Samples

316.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-div: 102.0ms (62.2% of total)

ival-add: 46.0ms (28% of total)

exact: 7.0ms (4.3% of total)

ival-true: 6.0ms (3.7% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess18.0ms (0.3%)

Memory

-30.0MiB live, 14.6MiB allocated

Algorithm

2×	egg-herbie

Rules

18×	`distribute-lft-neg-in`
18×	`sub-neg`
16×	`associate--r+`
14×	`associate-+l-`
14×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	22	9
2	44	9
3	79	9
4	107	9
5	124	9
6	131	9
7	136	9
8	138	9
0	6	3
1	9	3
0	9	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))

Call 2

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

Outputs
(+ x (/ 1 3))
(+ x 1/3)
(+ (neg x) (/ 1 3))
(- 1/3 x)
(neg (+ (neg x) (/ 1 3)))
(+ x -1/3)

explain53.0ms (1%)

Memory

31.0MiB live, 105.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 6.0ms (64.7% of total)

ival-add: 3.0ms (32.3% 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

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Memory

-30.3MiB live, 8.0MiB 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×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
0	9	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)

localize15.0ms (0.3%)

Memory

36.0MiB live, 36.0MiB 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

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (52% of total)

ival-add: 1.0ms (26% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-51.1MiB live, 2.1MiB allocated

Counts

2 → 12

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(+ x (/ 1 3))
1.0ms	x	@	-inf	(+ x (/ 1 3))
0.0ms	x	@	0	(+ x (/ 1 3))

rewrite498.0ms (9.6%)

Memory

40.8MiB live, 708.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 708×	`accelerator-lowering-fma.f32`
8 708×	`accelerator-lowering-fma.f64`
5 116×	`-lowering-.f32`
5 116×	`-lowering-.f64`
3 868×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	23	4
2	124	4
3	952	4
0	8637	4

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 265

Calls

Call 1

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

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

simplify9.0ms (0.2%)

Memory

-18.5MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`-lowering-.f32`
36×	`-lowering-.f64`
16×	`/-lowering-/.f32`
16×	`/-lowering-/.f64`
16×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

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

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

eval35.0ms (0.7%)

Memory: 7.0MiB live, 80.4MiB allocated
Compiler: Compiled 7 917 to 630 computations (92% saved)

prune34.0ms (0.7%)

Memory

33.1MiB live, 105.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	273	4	277
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	4	278

Accuracy

100.0%

Counts

278 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	56.5%	x
▶	43.8%	#s(literal 1/3 binary64)

Compiler

Compiled 22 to 15 computations (31.8% saved)

simplify8.0ms (0.2%)

Memory

-23.2MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
26×	`accelerator-lowering-fma.f32`
26×	`accelerator-lowering-fma.f64`
16×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	26	42
2	36	42
3	42	42
0	42	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize314.0ms (6%)

Memory

-172.4MiB live, 138.4MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))
✓	accuracy	68.4%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	accuracy	100.0%	(-.f64 x #s(literal -1/3 binary64))

Samples

298.0ms

256×

valid

Compiler

Compiled 44 to 15 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

const: 11.0ms (49.9% of total)

ival-mult: 5.0ms (22.7% of total)

ival-add: 3.0ms (13.6% of total)

ival-div: 2.0ms (9.1% of total)

ival-sub: 1.0ms (4.5% of total)

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

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

series4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite835.0ms (16%)

Memory

2.7MiB live, 646.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 024×	`accelerator-lowering-fma.f32`
5 024×	`accelerator-lowering-fma.f64`
4 686×	`-lowering-.f32`
4 686×	`-lowering-.f64`
4 000×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	77	24
2	591	24
3	7639	24
0	8240	23

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 959

Calls

Call 1

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

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

simplify577.0ms (11.1%)

Memory

-35.1MiB live, 327.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 778×	`accelerator-lowering-fma.f32`
7 778×	`accelerator-lowering-fma.f64`
3 304×	`-lowering-.f32`
3 304×	`-lowering-.f64`
1 582×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	250
1	120	250
2	294	242
3	944	242
4	2739	242
5	5071	242
6	7950	242
0	8188	235

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval133.0ms (2.6%)

Memory: 22.4MiB live, 291.2MiB allocated
Compiler: Compiled 34 391 to 1 990 computations (94.2% saved)

prune81.0ms (1.6%)

Memory

20.1MiB live, 220.7MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 030	1	1 031
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 031	4	1 035

Accuracy

100.0%

Counts

1 035 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.1%	(/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	56.5%	x
✓	43.8%	#s(literal 1/3 binary64)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify9.0ms (0.2%)

Memory

-49.5MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

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

✓

cost-diff

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

✓

cost-diff

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

Rules

28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
22×	`accelerator-lowering-fma.f32`
22×	`accelerator-lowering-fma.f64`
12×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	16	23
2	25	23
3	31	23
0	31	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.6%)

Memory

11.1MiB live, 87.5MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

100.0%

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

✓

accuracy

100.0%

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

✓

accuracy

99.8%

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

Samples

25.0ms

256×

valid

Compiler

Compiled 23 to 10 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

const: 9.0ms (62% of total)

ival-div: 2.0ms (13.8% of total)

ival-add: 2.0ms (13.8% of total)

ival-mult: 2.0ms (13.8% of total)

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

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

series1.0ms (0%)

Memory

3.6MiB live, 3.7MiB allocated

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite433.0ms (8.3%)

Memory

8.1MiB live, 640.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 560×	`accelerator-lowering-fma.f32`
4 560×	`accelerator-lowering-fma.f64`
4 040×	`-lowering-.f32`
4 040×	`-lowering-.f64`
3 004×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	50	19
2	359	19
3	3951	19
0	8098	17

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 274

Calls

Call 1

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

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

simplify457.0ms (8.8%)

Memory

29.0MiB live, 416.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 680×	`accelerator-lowering-fma.f32`
7 680×	`accelerator-lowering-fma.f64`
3 254×	`-lowering-.f32`
3 254×	`-lowering-.f64`
1 402×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))
1/9
(+ 1/9 (* -1/3 x))
(+ 1/9 (* x (- x 1/3)))
(+ 1/9 (* x (- x 1/3)))
(pow x 2)
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal -27 binary64) #s(literal -9 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(/ 1/27 (pow x 2))
(/.f64 #s(literal 1/27 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/729 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal -1/2187 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))) x)) (fma.f64 x x #s(literal 0 binary64)))
(/ 1/27 (pow x 2))
(/.f64 #s(literal 1/27 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/729 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal -1/2187 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))) x)) (fma.f64 x x #s(literal 0 binary64)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (- x 1/3)))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (- x 1/3)))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))

eval44.0ms (0.8%)

Memory: 8.8MiB live, 82.8MiB allocated
Compiler: Compiled 9 059 to 979 computations (89.2% saved)

prune45.0ms (0.9%)

Memory

-31.3MiB live, 107.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	309	1	310
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	310	4	314

Accuracy

100.0%

Counts

314 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.3%	(/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	56.5%	x
✓	43.8%	#s(literal 1/3 binary64)

Compiler

Compiled 15 to 12 computations (20% saved)

simplify4.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	9	16
0	9	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize28.0ms (0.5%)

Memory

0.6MiB live, 39.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

const: 8.0ms (61.3% of total)

ival-div: 2.0ms (15.3% of total)

ival-mult: 2.0ms (15.3% of total)

ival-add: 1.0ms (7.7% of total)

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

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

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite443.0ms (8.5%)

Memory

-10.7MiB live, 706.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 602×	`/-lowering-/.f32`
5 602×	`/-lowering-/.f64`
5 498×	`accelerator-lowering-fma.f32`
5 498×	`accelerator-lowering-fma.f64`
4 128×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	33	12
2	203	12
3	1721	12
0	8523	10

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 388

Calls

Call 1

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

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

simplify288.0ms (5.5%)

Memory

-15.1MiB live, 498.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 232×	`accelerator-lowering-fma.f32`
8 232×	`accelerator-lowering-fma.f64`
1 988×	`-lowering-.f32`
1 988×	`-lowering-.f64`
1 596×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	160
1	171	156
2	393	150
3	1002	150
4	2161	150
5	4011	150
6	6366	150
7	7523	150
8	7940	150
0	8030	136

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
1/9
(+ 1/9 (* -1/3 x))
(+ 1/9 (* -1/3 x))
(+ 1/9 (* -1/3 x))
(* -1/3 x)
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(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 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) 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 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x) #s(literal -1/27 binary64)) 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 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 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 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x) #s(literal -1/27 binary64)) 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 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(* -1/3 x)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(* -1/3 x)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 0 binary64))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64))

eval51.0ms (1%)

Memory: 33.1MiB live, 107.5MiB allocated
Compiler: Compiled 13 037 to 1 351 computations (89.6% saved)

prune66.0ms (1.3%)

Memory

-11.7MiB live, 106.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	412	0	412
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	412	4	416

Accuracy

100.0%

Counts

416 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.3%	(/.f64 #s(literal 1/27 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	56.5%	x
✓	43.8%	#s(literal 1/3 binary64)

Compiler

Compiled 53 to 30 computations (43.4% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

-29.4MiB live, 9.6MiB 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
96.9%	3	`x`
96.9%	3	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB 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
43.8%	1	`x`
43.8%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.3336820661297496	283.0654872699971
0.0ms	-28825.526409642738	0.3327009052240177

Compiler

Compiled 9 to 9 computations (0% saved)

simplify8.0ms (0.2%)

Memory

18.0MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	23	23
2	27	23
3	29	23
4	30	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 -20000 binary64)) x (if (<=.f64 (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal 1/2 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 -20000 binary64)) x (if (<=.f64 (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) x))

#s(literal 1/3 binary64)

soundness111.0ms (2.1%)

Memory

7.9MiB live, 89.5MiB allocated

Rules

8 708×	`accelerator-lowering-fma.f32`
8 708×	`accelerator-lowering-fma.f64`
5 116×	`-lowering-.f32`
5 116×	`-lowering-.f64`
3 868×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	22	30
2	37	30
3	77	30
4	77	30
5	78	30
6	80	30
7	80	30
0	80	30
0	6	4
1	23	4
2	124	4
3	952	4
0	8637	4

Stop Event

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

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess58.0ms (1.1%)

Memory: -21.1MiB live, 54.3MiB allocated
Compiler: Compiled 60 to 38 computations (36.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample485.0ms (9.3%)

preprocess18.0ms (0.3%)

explain53.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize15.0ms (0.3%)

series7.0ms (0.1%)

rewrite498.0ms (9.6%)

simplify9.0ms (0.2%)

eval35.0ms (0.7%)

prune34.0ms (0.7%)

simplify8.0ms (0.2%)

localize314.0ms (6%)

series4.0ms (0.1%)

rewrite835.0ms (16%)

simplify577.0ms (11.1%)

eval133.0ms (2.6%)

prune81.0ms (1.6%)

simplify9.0ms (0.2%)

localize33.0ms (0.6%)

series1.0ms (0%)

rewrite433.0ms (8.3%)

simplify457.0ms (8.8%)

eval44.0ms (0.8%)

prune45.0ms (0.9%)

simplify4.0ms (0.1%)

localize28.0ms (0.5%)

series1.0ms (0%)

rewrite443.0ms (8.5%)

simplify288.0ms (5.5%)

eval51.0ms (1%)

prune66.0ms (1.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

soundness111.0ms (2.1%)

preprocess58.0ms (1.1%)

end0.0ms (0%)

Profiling