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

analyze0.0ms (0%)

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 6 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample491.0ms (10.6%)

Results

322.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-div: 90.0ms (54.6% of total)

ival-add: 60.0ms (36.4% of total)

const: 12.0ms (7.3% of total)

backward-pass: 2.0ms (1.2% of total)

Bogosity

preprocess18.0ms (0.4%)

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)

explain57.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

35.0ms

512×

valid

Compiler

Compiled 32 to 27 computations (15.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 13.0ms (70% of total)

ival-add: 4.0ms (21.6% of total)

const: 2.0ms (10.8% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 4 to 3 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 3 computations (25% saved)

localize54.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1/3 binary64))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
1	4	5
0	4	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

8.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 2.0ms (101.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<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
1.0ms	x	@	inf	(+ x 1/3)
0.0ms	x	@	-inf	(+ x 1/3)
0.0ms	x	@	0	(+ x 1/3)

rewrite706.0ms (15.2%)

Algorithm

1×	batch-egg-rewrite

Rules

8708×	`accelerator-lowering-fma.f32`
8708×	`accelerator-lowering-fma.f64`
5116×	`-lowering-.f32`
5116×	`-lowering-.f64`
3868×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	19	3
2	121	3
3	951	3
0	8640	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 264

Calls

Call 1

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

simplify9.0ms (0.2%)

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)

eval77.0ms (1.7%)

Compiler: Compiled 8474 to 4531 computations (46.5% saved)

prune36.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	273	3	276
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	273	4	277

Accuracy

100.0%

Counts

277 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x #s(literal 1/3 binary64))
▶	77.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 x x) #s(literal -1/9 binary64)))
▶	49.1%	x
▶	53.0%	#s(literal 1/3 binary64)

Compiler

Compiled 20 to 15 computations (25% saved)

localize92.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 x x) #s(literal -1/9 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
✓	accuracy	77.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (+.f64 (.f64 x x) #s(literal -1/9 binary64)))

Rules

54×	`-lowering-.f32`
54×	`-lowering-.f64`
30×	`accelerator-lowering-fma.f32`
30×	`accelerator-lowering-fma.f64`
12×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	23	30
2	46	30
3	71	30
4	76	30
5	76	30
0	76	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

30.0ms

256×

valid

Compiler

Compiled 35 to 22 computations (37.1% saved)

Precisions

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

ival-add: 6.0ms (40.7% of total)

ival-div: 4.0ms (27.1% of total)

ival-mult: 3.0ms (20.3% of total)

const: 1.0ms (6.8% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite660.0ms (14.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3698×	`-lowering-.f32`
3698×	`-lowering-.f64`
3246×	`accelerator-lowering-fma.f32`
3246×	`accelerator-lowering-fma.f64`
2314×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	60	16
2	435	16
3	4817	16
0	8088	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 548

Calls

Call 1

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

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

simplify413.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

7964×	`accelerator-lowering-fma.f32`
7964×	`accelerator-lowering-fma.f64`
2200×	`-lowering-.f32`
2200×	`-lowering-.f64`
1804×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	224
1	170	224
2	367	224
3	925	216
4	2236	216
5	4600	216
6	7952	216
0	8003	199

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

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

eval154.0ms (3.3%)

Compiler: Compiled 16128 to 8467 computations (47.5% saved)

prune88.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	595	1	596
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	596	4	600

Accuracy

100.0%

Counts

600 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x #s(literal 1/3 binary64))
▶	52.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64))
✓	49.1%	x
✓	53.0%	#s(literal 1/3 binary64)

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize50.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.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×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	13	17
2	14	17
0	14	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

27.0ms

256×

valid

Compiler

Compiled 21 to 17 computations (19% saved)

Precisions

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

ival-add: 6.0ms (47.8% of total)

ival-div: 4.0ms (31.8% of total)

ival-mult: 2.0ms (15.9% of total)

const: 1.0ms (8% of total)

backward-pass: 0.0ms (0% of total)

series187.0ms (4%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
184.0ms	x	@	inf	(* (/ 1 (+ x -1/3)) -1/9)
1.0ms	x	@	-inf	(* (/ 1 (+ x -1/3)) -1/9)
0.0ms	x	@	0	(* (/ 1 (+ x -1/3)) -1/9)
0.0ms	x	@	-inf	(+ x -1/3)
0.0ms	x	@	0	(/ 1 (+ x -1/3))

rewrite487.0ms (10.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4738×	`/-lowering-/.f32`
4738×	`/-lowering-/.f64`
3414×	`-lowering-.f32`
3414×	`-lowering-.f64`
2804×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	36	13
2	191	13
3	1481	13
0	8537	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 552

Calls

Call 1

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

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

simplify634.0ms (13.7%)

Algorithm

1×	egg-herbie

Rules

9040×	`accelerator-lowering-fma.f32`
9040×	`accelerator-lowering-fma.f64`
2594×	`-lowering-.f32`
2594×	`-lowering-.f64`
1950×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	250
1	274	246
2	618	240
3	1530	232
4	3844	228
5	6948	228
0	8053	217

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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

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

eval203.0ms (4.4%)

Compiler: Compiled 18995 to 10832 computations (43% saved)

prune141.0ms (3.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	588	0	588
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	588	4	592

Accuracy

100.0%

Counts

592 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	52.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64))
✓	49.1%	x
✓	53.0%	#s(literal 1/3 binary64)

Compiler

Compiled 45 to 35 computations (22.2% saved)

regimes7.0ms (0.2%)

Counts

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

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

Calls

2 calls:

5.0ms	x
2.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1/3 binary64)
x

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

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

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
53.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch25.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.3120756705431217e-11	9.378220345140293e+22
10.0ms	-40.82526496323151	-5.645364922096082e-8

Results

12.0ms

320×

valid

Compiler

Compiled 130 to 108 computations (16.9% saved)

Precisions

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

ival-div: 3.0ms (61.5% of total)

ival-add: 2.0ms (41% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 16 to 11 computations (31.3% saved)

preprocess32.0ms (0.7%)

Compiler: Compiled 44 to 32 computations (27.3% saved)

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

analyze0.0ms (0%)

sample491.0ms (10.6%)

preprocess18.0ms (0.4%)

explain57.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize54.0ms (1.2%)

series2.0ms (0%)

rewrite706.0ms (15.2%)

simplify9.0ms (0.2%)

eval77.0ms (1.7%)

prune36.0ms (0.8%)

localize92.0ms (2%)

series7.0ms (0.2%)

rewrite660.0ms (14.2%)

simplify413.0ms (8.9%)

eval154.0ms (3.3%)

prune88.0ms (1.9%)

localize50.0ms (1.1%)

series187.0ms (4%)

rewrite487.0ms (10.5%)

simplify634.0ms (13.7%)

eval203.0ms (4.4%)

prune141.0ms (3.1%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

regimes1.0ms (0%)

bsearch25.0ms (0.5%)

soundness1.0ms (0%)

preprocess32.0ms (0.7%)

end0.0ms (0%)

Profiling