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

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-sub: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

sample1.2s (24%)

Results

878.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

ival-sub: 336.0ms (69.4% of total)

ival-div: 132.0ms (27.2% of total)

const: 13.0ms (2.7% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess25.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

80×	`fnmsub-define`
80×	`fmsub-define`
80×	`fnmadd-define`
70×	`fmm-def`
56×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	20	12
2	44	9
3	75	9
4	159	9
5	260	9
6	280	9
7	294	9
8	311	9
9	325	9
10	329	9
0	6	3
1	11	3
2	12	3
0	12	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- x (/ 1 3))

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

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)

explain62.0ms (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

41.0ms

512×

valid

Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions

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

ival-div: 5.0ms (58.5% of total)

ival-sub: 3.0ms (35.1% of total)

const: 1.0ms (11.7% 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)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	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)

localize27.0ms (0.5%)

Localize:

Found 1 expressions of interest:

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

Results

22.0ms

256×

valid

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

...c/correct-round.rkt:119:19: 10.0ms (82.5% of total)

ival-add: 2.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite351.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3890×	`/-lowering-/.f32`
3890×	`/-lowering-/.f64`
3454×	`-lowering-.f32`
3454×	`-lowering-.f64`
2388×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	19	3
2	125	3
3	1011	3
0	8525	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 185

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

236×	`fma-lowering-fma.f32`
236×	`fma-lowering-fma.f64`
228×	`fnmadd-define`
220×	`fmsub-define`
208×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	35	30
2	80	30
3	179	30
4	511	30
5	687	30
6	914	30
7	1059	30
8	1133	30
0	1133	30

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

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

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

eval22.0ms (0.4%)

Compiler: Compiled 6454 to 534 computations (91.7% saved)

prune28.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	192	5	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	192	6	198

Accuracy

100.0%

Counts

198 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))
▶	68.2%	(/.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)))))
▶	75.9%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
▶	52.4%	x
▶	48.5%	#s(literal -1/3 binary64)

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify175.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(-.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))
✓	cost-diff	0	(/.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)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.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	256	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))
✓	cost-diff	0	(-.f64 #s(literal -1/3 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))

Rules

2626×	`fnmadd-define`
2304×	`fma-define`
1746×	`sum3-define`
1326×	`fnmsub-define`
1300×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	59	92
2	121	92
3	236	92
4	375	92
5	724	92
6	1994	92
7	4747	92
8	6928	92
9	7911	92
0	8009	92

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize305.0ms (5.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
✓	accuracy	68.8%	(/.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)))))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))
✓	accuracy	76.6%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal -1/3 binary64) x)
✓	accuracy	75.9%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))

Results

274.0ms

256×

valid

Compiler

Compiled 116 to 22 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

...c/correct-round.rkt:119:19: 17.0ms (37.9% of total)

ival-div: 10.0ms (22.3% of total)

ival-mult: 9.0ms (20.1% of total)

ival-sub: 4.0ms (8.9% of total)

ival-add: 4.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

series24.0ms (0.5%)

Counts

13 → 156

Calls

Call 1

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

Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt 1/9>
#<alt (+ 1/9 (* -1 (pow x 2)))>
#<alt (+ 1/9 (* -1 (pow x 2)))>
#<alt (+ 1/9 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/3>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (- (* -1 x) 1/3)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt -9>
#<alt (- (* -81 (pow x 2)) 9)>
#<alt (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/27>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 x))>
#<alt (* x (+ 1/3 x))>
#<alt (* x (+ 1/3 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>

Calls

39 calls:

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

rewrite444.0ms (8.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4166×	`/-lowering-/.f32`
4166×	`/-lowering-/.f64`
3228×	`-lowering-.f32`
3228×	`-lowering-.f64`
1800×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	62
1	161	47
2	1335	47
0	8634	47

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1407

Calls

Call 1

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

simplify217.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2254×	`-lowering-.f32`
2254×	`-lowering-.f64`
1510×	`sum4-define`
1494×	`fma-define`
1460×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	706
1	352	623
2	887	612
3	2606	610
4	7203	610
0	8257	610

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
1/9
(+ 1/9 (* -1 (pow x 2)))
(+ 1/9 (* -1 (pow x 2)))
(+ 1/9 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/3
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
-9
(- (* -81 (pow x 2)) 9)
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 x))
(* x (+ 1/3 x))
(* x (+ 1/3 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/3
#s(literal -1/3 binary64)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 3 (* x (- (* 27 x) 9)))
(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -9 binary64) (.f64 x #s(literal 27 binary64)))))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal -9 binary64) (.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x #s(literal -81 binary64)))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x)) x)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
-9
#s(literal -9 binary64)
(- (* -81 (pow x 2)) 9)
(+.f64 #s(literal -9 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(+.f64 #s(literal -9 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -81 binary64) (.f64 x (.f64 x #s(literal -729 binary64))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(+.f64 #s(literal -9 binary64) (.f64 x (.f64 x (+.f64 #s(literal -81 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -729 binary64) (.f64 (.f64 x x) #s(literal -6561 binary64))))))))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(+.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(+.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(+.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(+.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(+.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(+.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(+.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(+.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(+.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
-1/9
#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))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 x))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 x))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 x))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))

eval224.0ms (4.3%)

Compiler: Compiled 53250 to 2905 computations (94.5% saved)

prune136.0ms (2.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1698	1	1699
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1699	6	1705

Accuracy

100.0%

Counts

1705 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.3%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -9 binary64))
✓	68.2%	(/.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)))))
✓	75.9%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	52.4%	x
✓	48.5%	#s(literal -1/3 binary64)

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 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 -9 binary64))

Rules

8×	`+-lowering-+.f64`
8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`
8×	`-lowering-.f32`
8×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	13	16
2	27	16
3	29	16
0	29	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize35.0ms (0.7%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -9 binary64))

Results

26.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (39.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (39.9% of total)

ival-add: 2.0ms (19.9% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite390.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3956×	`/-lowering-/.f32`
3956×	`/-lowering-/.f64`
3230×	`-lowering-.f32`
3230×	`-lowering-.f64`
1542×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	12
2	244	12
3	1790	12
0	8338	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 524

Calls

Call 1

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

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

simplify381.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1906×	`-lowering-.f32`
1906×	`-lowering-.f64`
1812×	`sum4-define`
1462×	`fma-lowering-fma.f32`
1462×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	245
1	341	223
2	836	217
3	2234	215
4	7022	215
0	8512	215

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval72.0ms (1.4%)

Compiler: Compiled 16239 to 2088 computations (87.1% saved)

prune122.0ms (2.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	559	1	560
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	561	5	566

Accuracy

100.0%

Counts

566 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.2%	(/.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)))))
▶	99.9%	(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64))) #s(literal -9 binary64))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	52.4%	x
✓	48.5%	#s(literal -1/3 binary64)

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	8	16
2	10	16
0	10	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize41.0ms (0.8%)

Localize:

Found 3 expressions of interest:

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

Results

30.0ms	248×	0	valid
1.0ms	5×	2	valid
1.0ms	3×	1	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 13.0ms (74% of total)

ival-div: 2.0ms (11.4% of total)

ival-add: 2.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite404.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4574×	`/-lowering-/.f32`
4574×	`/-lowering-/.f64`
3944×	`-lowering-.f32`
3944×	`-lowering-.f64`
1716×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	31	13
2	216	13
3	1983	13
0	8828	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 376

Calls

Call 1

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

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

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

536×	`fnmadd-define`
498×	`fma-lowering-fma.f32`
498×	`fma-lowering-fma.f64`
448×	`fmsub-define`
436×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	118
1	66	109
2	153	109
3	377	109
4	1108	109
5	1465	109
6	1891	109
7	2161	109
8	2301	109
0	2301	109

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

eval88.0ms (1.7%)

Compiler: Compiled 11169 to 1110 computations (90.1% saved)

prune56.0ms (1.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	411	1	412
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	411	6	417

Accuracy

100.0%

Counts

417 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.2%	(/.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)))))
✓	99.9%	(/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64))) #s(literal -9 binary64))
	99.6%	(/.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64)))))
✓	100.0%	(+.f64 x #s(literal -1/3 binary64))
✓	52.4%	x
✓	48.5%	#s(literal -1/3 binary64)

Compiler

Compiled 113 to 67 computations (40.7% saved)

regimes8.0ms (0.1%)

Counts

10 → 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 3 binary64) (*.f64 x #s(literal -9 binary64))) #s(literal -9 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -9 binary64))
(/.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 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)))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.5%	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:

1.0ms

Results

Accuracy	Segments	Branch
48.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.30518365890838833	645.9410449569538
11.0ms	-19.912070981437754	-0.015598077727842581

Results

14.0ms

256×

valid

Compiler

Compiled 106 to 88 computations (17% saved)

Precisions

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

ival-div: 5.0ms (73.8% of total)

ival-sub: 1.0ms (14.8% of total)

const: 1.0ms (14.8% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	13	15

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x))

#s(literal -1/3 binary64)

Outputs

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

(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x))

#s(literal -1/3 binary64)

soundness68.0ms (1.3%)

Rules

236×	`fma-lowering-fma.f32`
236×	`fma-lowering-fma.f64`
228×	`fnmadd-define`
220×	`fmsub-define`
208×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	35	30
2	80	30
3	179	30
4	511	30
5	687	30
6	914	30
7	1059	30
8	1133	30
0	1133	30
0	6	3
1	11	3
2	12	3
0	12	3

Stop Event

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

preprocess25.0ms (0.5%)

Compiler: Compiled 44 to 28 computations (36.4% saved)

Iter	Nodes	Cost
0	9	12
1	20	12
2	44	9
3	75	9
4	159	9
5	260	9
6	280	9
7	294	9
8	311	9
9	325	9
10	329	9
0	6	3
1	11	3
2	12	3
0	12	3

Iter	Nodes	Cost
0	9	12
1	20	12
2	44	9
3	75	9
4	159	9
5	260	9
6	280	9
7	294	9
8	311	9
9	325	9
10	329	9
0	6	3
1	11	3
2	12	3
0	12	3

analyze0.0ms (0%)

sample1.2s (24%)

preprocess25.0ms (0.5%)

explain62.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize27.0ms (0.5%)

series1.0ms (0%)

rewrite351.0ms (6.8%)

simplify47.0ms (0.9%)

eval22.0ms (0.4%)

prune28.0ms (0.6%)

simplify175.0ms (3.4%)

localize305.0ms (5.9%)

series24.0ms (0.5%)

rewrite444.0ms (8.6%)

simplify217.0ms (4.2%)

eval224.0ms (4.3%)

prune136.0ms (2.6%)

simplify10.0ms (0.2%)

localize35.0ms (0.7%)

series1.0ms (0%)

rewrite390.0ms (7.6%)

simplify381.0ms (7.4%)

eval72.0ms (1.4%)

prune122.0ms (2.4%)

simplify5.0ms (0.1%)

localize41.0ms (0.8%)

series3.0ms (0.1%)

rewrite404.0ms (7.8%)

simplify79.0ms (1.5%)

eval88.0ms (1.7%)

prune56.0ms (1.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch26.0ms (0.5%)

simplify8.0ms (0.2%)

soundness68.0ms (1.3%)

preprocess25.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	12
1	20	12
2	44	9
3	75	9
4	159	9
5	260	9
6	280	9
7	294	9
8	311	9
9	325	9
10	329	9
0	6	3
1	11	3
2	12	3
0	12	3