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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample945.0ms (25.9%)

Memory

-10.0MiB live, 617.6MiB allocated

Samples

733.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 515.0ms

ival-add: 324.0ms (63% of total)

ival-div: 174.0ms (33.8% of total)

exact: 8.0ms (1.6% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain68.0ms (1.9%)

Memory

10.2MiB live, 87.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

39.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 26.0ms (89.4% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.4%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	15	7
2	17	7
0	5	3
0	8	3
1	11	3
0	11	3

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify5.0ms (0.1%)

Memory

-33.5MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.4%)

Memory

28.4MiB live, 28.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.01171875	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 3.0ms (66.8% of total)

ival-add: 1.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify18.0ms (0.5%)

Memory

-39.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	26	8
2	58	8
3	151	8
4	216	8
5	265	8
6	322	8
7	348	8
8	364	8
0	364	8

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 3

Calls

Call 1

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

Outputs
1/3
#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))

rewrite146.0ms (4%)

Memory

32.6MiB live, 223.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	26	4
2	118	4
3	873	4
0	8734	4

Stop Event

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

Counts

2 → 172

Calls

Call 1

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

Outputs
#s(literal 1/3 binary64)
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (.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 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (+.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.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 #s(literal 1/3 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (+.f64 x #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (/.f64 (fma.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 x x) #s(literal 1/9 binary64)) (/.f64 (fma.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 #s(literal 1/3 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (.f64 x x))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/81 binary64) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/729 binary64) (.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/729 binary64) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (.f64 (neg.f64 x) x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (neg.f64 x) (/.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (neg.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (.f64 x x)) (.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) x) (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) x))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (.f64 x x)))) (.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1/19683 binary64) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/19683 binary64) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal -1/19683 binary64) (+.f64 (+.f64 #s(literal -1/729 binary64) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.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)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1/3 binary64) x)))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (fma.f64 x x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(+.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)

eval49.0ms (1.4%)

Memory: -6.4MiB live, 31.0MiB allocated
Compiler: Compiled 5 381 to 531 computations (90.1% saved)

prune5.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	169	5	174
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	5	175

Accuracy

100.0%

Counts

175 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.3%	(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
▶	67.5%	(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
▶	77.0%	(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
▶	100.0%	(+.f64 x #s(literal 1/3 binary64))
▶	52.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 128 to 76 computations (40.6% saved)

simplify98.0ms (2.7%)

Memory

3.2MiB live, 84.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
cost-diff	0	(/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	8	(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
cost-diff	0	(-.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	5	(-.f64 (.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x)))
cost-diff	8	(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	(/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(-.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	5	(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
cost-diff	0	(+.f64 x #s(literal 1/3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	159
0	42	151
1	74	141
2	227	139
3	1016	131
4	3201	131
5	5302	131
6	7794	131
0	8042	128

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (2.7%)

Memory

-18.5MiB live, 90.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
accuracy	0.15453931057614168	(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	14.720074426949308	(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
accuracy	14.895290866095609	(/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	0.046875	(*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.11328125	(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
accuracy	0.19140625	(*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
accuracy	20.33450347740953	(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	0.01171875	(-.f64 #s(literal 1/3 binary64) x)
accuracy	0.015625	(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	0.1875	(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
accuracy	14.778668176949308	(/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
accuracy	30.71303617557515	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
accuracy	0.01171875	(+.f64 x #s(literal 1/3 binary64))

Samples

69.0ms	245×	0	valid
3.0ms	7×	1	valid
3.0ms	4×	2	valid

Compiler

Compiled 167 to 28 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

const: 28.0ms (49.2% of total)

ival-div: 10.0ms (17.6% of total)

ival-mult: 9.0ms (15.8% of total)

ival-sub: 5.0ms (8.8% of total)

ival-add: 5.0ms (8.8% of total)

adjust: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

16 → 74

Calls

Call 1

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

Outputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
(pow x 2)
(* 9 x)
(* x (+ 9 (* 27 x)))
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2))))))
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))
1/9
(+ 1/9 (* -1/3 x))
(+ 1/9 (* x (- x 1/3)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1 x)))
(+ 1/9 (* -2/3 x))
(+ 1/9 (* x (- x 2/3)))
(+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(/ 1 x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x)
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x)
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 2) (- 1 (* 2/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 2/3 (/ 1 x))))
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2/3 (* 1/9 (/ 1 x))) x))))
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ x 1/3) (+ x (/ 1 3)) (- (/ 1/9 (- 1/3 x)) (/ (* x x) (- 1/3 x))) (/ 1/9 (- 1/3 x)) (- 1/3 x) (/ (* x x) (- 1/3 x)) (/ (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* (- 1/3 x) (- 1/3 x))) (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* 1/9 (- 1/3 x)) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) (* (- 1/3 x) (* x x)) (* (- 1/3 x) (- 1/3 x)) (/ 1/27 (+ (* x (- x 1/3)) 1/9)))
3.0ms	x	@	-inf	((+ x 1/3) (+ x (/ 1 3)) (- (/ 1/9 (- 1/3 x)) (/ (* x x) (- 1/3 x))) (/ 1/9 (- 1/3 x)) (- 1/3 x) (/ (* x x) (- 1/3 x)) (/ (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* (- 1/3 x) (- 1/3 x))) (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* 1/9 (- 1/3 x)) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) (* (- 1/3 x) (* x x)) (* (- 1/3 x) (- 1/3 x)) (/ 1/27 (+ (* x (- x 1/3)) 1/9)))
3.0ms	x	@	0	((+ x 1/3) (+ x (/ 1 3)) (- (/ 1/9 (- 1/3 x)) (/ (* x x) (- 1/3 x))) (/ 1/9 (- 1/3 x)) (- 1/3 x) (/ (* x x) (- 1/3 x)) (/ (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* (- 1/3 x) (- 1/3 x))) (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (* 1/9 (- 1/3 x)) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) (* (- 1/3 x) (* x x)) (* (- 1/3 x) (- 1/3 x)) (/ 1/27 (+ (* x (- x 1/3)) 1/9)))

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

simplify176.0ms (4.8%)

Memory

-21.5MiB live, 230.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	736
1	848	712
2	2798	677
0	8588	645

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 73

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
(pow x 2)
(* 9 x)
(* x (+ 9 (* 27 x)))
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2))))))
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))
1/9
(+ 1/9 (* -1/3 x))
(+ 1/9 (* x (- x 1/3)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1 x)))
(+ 1/9 (* -2/3 x))
(+ 1/9 (* x (- x 2/3)))
(+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(/ 1 x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x)
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x)
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 2) (- 1 (* 2/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 2/3 (/ 1 x))))
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2/3 (* 1/9 (/ 1 x))) x))))
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 (* x (+ 1 (* 3 x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 9 x)))
(.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 81 binary64) x #s(literal 27 binary64)) x #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* -1/9 x))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
(fma.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 27 x)))
(*.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal -243 binary64) (.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -729 binary64) x) #s(literal 243 binary64)) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/3 x))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (- x 1/3)))
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* -1 x)))
(.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) x) x)
(+ 1/9 (* -2/3 x))
(fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (- x 2/3)))
(fma.f64 (-.f64 x #s(literal 2/3 binary64)) x #s(literal 1/9 binary64))
(+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal -1/3 binary64)))
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x) #s(literal 1/9 binary64)) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal -1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal -1/3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x)
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)) x #s(literal -1/3 binary64)))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* (pow x 2) (- 1 (* 2/3 (/ 1 x))))
(*.f64 x (fma.f64 (/.f64 #s(literal -2/3 binary64) x) x x))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 2/3 (/ 1 x))))
(*.f64 x (fma.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) x x))
(/ 1/27 (pow x 2))
(/.f64 (/.f64 #s(literal 1/27 binary64) x) x)
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) x) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) x) #s(literal 1/9 binary64)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal -1/81 binary64)) x) #s(literal 1/27 binary64)) x)) (neg.f64 x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) (*.f64 x x)) x #s(literal -1/3 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) x) x)) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)) x #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 2/3 (* 1/9 (/ 1 x))) x))))
(*.f64 x (fma.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) x x))
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) x)) x) x)
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) x) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))

rewrite258.0ms (7.1%)

Memory

21.9MiB live, 335.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	134
0	42	104
1	165	92
2	1336	92
0	8363	92

Stop Event

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

Counts

16 → 1 016

Calls

Call 1

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

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

eval174.0ms (4.8%)

Memory: -10.6MiB live, 218.5MiB allocated
Compiler: Compiled 36 205 to 3 290 computations (90.9% saved)

prune82.0ms (2.3%)

Memory

9.9MiB live, 63.3MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 076	3	1 079
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 079	5	1 084

Accuracy

100.0%

Counts

1 084 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
▶	52.6%	(/.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
▶	52.2%	(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
✓	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	52.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 83 to 60 computations (27.7% saved)

simplify40.0ms (1.1%)

Memory

-4.6MiB live, 31.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	195
0	55	195
1	86	187
2	199	187
3	485	187
4	829	187
5	1209	187
6	1453	187
7	1504	187
8	1538	187
9	1548	187
10	1553	187
0	1553	187

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize128.0ms (3.5%)

Memory

-12.3MiB live, 106.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
accuracy	0.15453931057614168	(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	14.720074426949308	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
accuracy	30.542402783999908	#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
accuracy	0.046875	(*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.17578125	(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
accuracy	20.33450347740953	(/.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	30.73046522559706	#s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
accuracy	0.12109375	(.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0.140625	(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
accuracy	0.1875	(/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))
accuracy	30.735972076681122	#s(approx (/ (* x x) (- 1/3 x)) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x))

Samples

52.0ms	218×	0	valid
28.0ms	19×	1	valid
11.0ms	19×	2	valid

Compiler

Compiled 171 to 32 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 35.0ms (48.9% of total)

const: 13.0ms (18.2% of total)

ival-div: 9.0ms (12.6% of total)

ival-sub: 6.0ms (8.4% of total)

ival-add: 5.0ms (7% of total)

adjust: 3.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

16 → 75

Calls

Call 1

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

Outputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
1/9
(+ 1/9 (* -2/3 x))
(+ 1/9 (* x (- x 2/3)))
(pow x 2)
(* 9 x)
(* x (+ 9 (* 27 x)))
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2))))))
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))
(* 3 x)
(* x (+ 3 (* 9 x)))
(+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))
(+ 1/9 (* -1/3 x))
(+ 1/9 (* x (- x 1/3)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* (pow x 2) (- 1 (* 2/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 2/3 (/ 1 x))))
(/ 1 x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x)
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2/3 (* 1/9 (/ 1 x))) x))))
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x))
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify132.0ms (3.6%)

Memory

22.5MiB live, 177.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	740
1	856	718
2	2847	683
0	8700	650

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 74

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 9 x)))
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
1/27
(+ 1/27 (* -1/9 x))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
1/9
(+ 1/9 (* -2/3 x))
(+ 1/9 (* x (- x 2/3)))
(pow x 2)
(* 9 x)
(* x (+ 9 (* 27 x)))
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2))))))
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))
(* 3 x)
(* x (+ 3 (* 9 x)))
(+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))
(+ 1/9 (* -1/3 x))
(+ 1/9 (* x (- x 1/3)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(pow x 3)
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* (pow x 2) (- 1 (* 2/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 2/3 (/ 1 x))))
(/ 1 x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x)
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(/ 1/27 (pow x 2))
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2/3 (* 1/9 (/ 1 x))) x))))
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x))
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(-.f64 x #s(literal -1/3 binary64))
(+ 1/3 (* x (+ 1 (* 3 x))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 9 x)))
(.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 9 (* 27 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 9 (* x (+ 27 (* 81 x)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 81 binary64) x #s(literal 27 binary64)) x #s(literal 9 binary64)) x #s(literal 3 binary64)) x) x)
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* -1/9 x))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* -1/3 x) 1/9)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
(+ 1/27 (* x (- (* x (- x 1/3)) 1/9)))
(fma.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)) x #s(literal 1/27 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -2/3 x))
(fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (- x 2/3)))
(fma.f64 (-.f64 x #s(literal 2/3 binary64)) x #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 27 x)))
(*.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal -243 binary64) (.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -729 binary64) x) #s(literal 243 binary64)) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 9 x)))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x)
(+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal -1/3 binary64)))
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(+ 1/9 (* -1/3 x))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (- x 1/3)))
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal -1/3 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64)) x) #s(literal 1/9 binary64)) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal -1/81 binary64)) x) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x) #s(literal 1 binary64)) x)
(* x (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) (pow x 2))) (+ 1 (* 1/3 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal -1/3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (* 1/3 (/ 1 x))))
(.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1 (* 1/27 (/ 1 (pow x 3)))) (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)
(* (pow x 2) (- 1 (* 2/3 (/ 1 x))))
(*.f64 x (fma.f64 (/.f64 #s(literal -2/3 binary64) x) x x))
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 2/3 (/ 1 x))))
(*.f64 x (fma.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x)
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 x))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) x) x)
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* (pow x 3) (+ 9 (* 3 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 1/27 (pow x 2))
(/.f64 (/.f64 #s(literal 1/27 binary64) x) x)
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) x) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* (pow x 2) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)) x #s(literal -1/3 binary64)))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64)) x) #s(literal 1/9 binary64)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/243 binary64) x) #s(literal -1/81 binary64)) x) #s(literal 1/27 binary64)) x)) (neg.f64 x))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 1/3 binary64) x)
(* -1 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))))
(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) (*.f64 x x)) x #s(literal -1/3 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/27 binary64) x)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 2/3 (* 1/9 (/ 1 x))) x))))
(*.f64 x (fma.f64 (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x) x x))
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal -1/27 binary64) x) x)) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 x))
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) x)) x) x)
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) x) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))
(.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)) x #s(literal -1/3 binary64)))

rewrite194.0ms (5.3%)

Memory

-6.6MiB live, 255.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	171
0	55	167
1	196	159
2	1350	159
0	8302	159

Stop Event

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

Counts

16 → 373

Calls

Call 1

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

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

eval154.0ms (4.2%)

Memory: -0.5MiB live, 171.8MiB allocated
Compiler: Compiled 25 067 to 2 050 computations (91.8% saved)

prune14.0ms (0.4%)

Memory

-23.3MiB live, 31.0MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	537	1	538
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	538	5	543

Accuracy

100.0%

Counts

543 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
▶	53.2%	(/.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))
✓	52.2%	(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
✓	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	52.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 88 to 62 computations (29.5% saved)

simplify11.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))
cost-diff	0	(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
cost-diff	0	#s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	74
0	22	74
1	40	66
2	109	66
3	256	66
4	354	66
5	379	66
6	410	66
7	425	66
8	435	66
0	435	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (2.5%)

Memory

17.2MiB live, 54.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.17578125	(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
accuracy	20.33450347740953	(/.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))
accuracy	29.65996875497576	#s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))
accuracy	30.73046522559706	#s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))

Samples

82.0ms

256×

valid

Compiler

Compiled 58 to 19 computations (67.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

const: 58.0ms (78.1% of total)

ival-mult: 10.0ms (13.5% of total)

ival-sub: 2.0ms (2.7% of total)

ival-div: 2.0ms (2.7% of total)

ival-add: 2.0ms (2.7% of total)

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

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

series23.0ms (0.6%)

Memory

-32.2MiB live, 5.7MiB allocated

Counts

4 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

21.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify150.0ms (4.1%)

Memory

26.2MiB live, 184.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	195
1	236	191
2	690	184
3	2907	165
0	8374	158

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

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

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

rewrite295.0ms (8.1%)

Memory

6.3MiB live, 161.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	65
0	22	61
1	97	53
2	683	53
3	7836	53
0	8044	53

Stop Event

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

Counts

4 → 52

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))) (neg.f64 #s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))) #s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))))
#s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(neg.f64 (neg.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) #s(literal 1/19683 binary64))) (fma.f64 #s(literal 1/81 binary64) (*.f64 x x) (fma.f64 #s(literal -1/243 binary64) x #s(literal 1/729 binary64))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)) (-.f64 (.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/729 binary64))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) (-.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) (.f64 #s(literal 1/81 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/81 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))) (.f64 (.f64 #s(literal 1/81 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))) (.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))) (fma.f64 (.f64 #s(literal 1/81 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))) (.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/81 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/81 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))) (.f64 (.f64 #s(literal 1/81 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))) (fma.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (.f64 (.f64 (.f64 #s(literal 1/81 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))))
(/.f64 (-.f64 #s(literal 1/19683 binary64) (pow.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/81 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/9 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)) #s(literal 1/19683 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 4 binary64)) #s(literal 1/531441 binary64)) (.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) #s(literal 1/729 binary64)) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/81 binary64) (.f64 x x))) (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/9 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/387420489 binary64)) (.f64 (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/59049 binary64) #s(literal 1/531441 binary64))) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/387420489 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (fma.f64 #s(literal -1/387420489 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal 1/7625597484987 binary64)) (.f64 (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/387420489 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/14348907 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))
(/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64))) (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/729 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64)))))
(fma.f64 (/.f64 #s(literal 1/19683 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) (-.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) (.f64 #s(literal 1/81 binary64) (.f64 x x))))) (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) (-.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal -1/243 binary64) x)) (.f64 #s(literal 1/81 binary64) (.f64 x x))))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 #s(literal -1/729 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1/729 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -1/9 binary64) x) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 (.f64 #s(literal -1/9 binary64) x) (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(fma.f64 x #s(literal -1/9 binary64) #s(literal 1/27 binary64))
(-.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/9 binary64) x))) (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/9 binary64) x))))
(-.f64 (.f64 (.f64 #s(literal 1/81 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))))
(-.f64 #s(literal 1/27 binary64) (*.f64 x #s(literal 1/9 binary64)))
(+.f64 (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/81 binary64) x) #s(literal -1/243 binary64)) #s(literal 1/729 binary64))))
(+.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1/27 binary64))
(+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/9 binary64) x))
#s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))
(neg.f64 (neg.f64 #s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64)))))

eval12.0ms (0.3%)

Memory: -11.5MiB live, 25.5MiB allocated
Compiler: Compiled 3 331 to 376 computations (88.7% saved)

prune4.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	71	5	76

Accuracy

100.0%

Counts

76 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
✓	53.2%	(/.f64 #s(approx (- (* 1/9 (- 1/3 x)) (* (- 1/3 x) (* x x))) (fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))) #s(approx (* (- 1/3 x) (- 1/3 x)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1/9 binary64))))
✓	52.2%	(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(approx (/ (* x x) (- 1/3 x)) (.f64 (.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)) x) x)))
✓	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	52.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 261 to 121 computations (53.6% saved)

regimes60.0ms (1.6%)

Memory

-32.2MiB live, 21.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

56.0ms	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 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.0%	1	`x`
52.0%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify10.0ms (0.3%)

Memory

25.3MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	11	8

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness137.0ms (3.8%)

Memory

-15.7MiB live, 59.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	26	4
2	118	4
3	873	4
0	8734	4
0	8	8
1	26	8
2	58	8
3	151	8
4	216	8
5	265	8
6	322	8
7	348	8
8	364	8
0	364	8

Stop Event

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

preprocess24.0ms (0.7%)

Memory: -1.1MiB live, 32.6MiB allocated
Compiler: Compiled 30 to 26 computations (13.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	17	74
0	22	74
1	40	66
2	109	66
3	256	66
4	354	66
5	379	66
6	410	66
7	425	66
8	435	66
0	435	66

Iter	Nodes	Cost
0	17	74
0	22	74
1	40	66
2	109	66
3	256	66
4	354	66
5	379	66
6	410	66
7	425	66
8	435	66
0	435	66

start0.0ms (0%)

analyze0.0ms (0%)

sample945.0ms (25.9%)

explain68.0ms (1.9%)

preprocess13.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize13.0ms (0.4%)

series1.0ms (0%)

simplify18.0ms (0.5%)

rewrite146.0ms (4%)

eval49.0ms (1.4%)

prune5.0ms (0.1%)

simplify98.0ms (2.7%)

localize100.0ms (2.7%)

series12.0ms (0.3%)

simplify176.0ms (4.8%)

rewrite258.0ms (7.1%)

eval174.0ms (4.8%)

prune82.0ms (2.3%)

simplify40.0ms (1.1%)

localize128.0ms (3.5%)

series8.0ms (0.2%)

simplify132.0ms (3.6%)

rewrite194.0ms (5.3%)

eval154.0ms (4.2%)

prune14.0ms (0.4%)

simplify11.0ms (0.3%)

localize90.0ms (2.5%)

series23.0ms (0.6%)

simplify150.0ms (4.1%)

rewrite295.0ms (8.1%)

eval12.0ms (0.3%)

prune4.0ms (0.1%)

regimes60.0ms (1.6%)

regimes2.0ms (0.1%)

simplify10.0ms (0.3%)

soundness137.0ms (3.8%)

preprocess24.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	74
0	22	74
1	40	66
2	109	66
3	256	66
4	354	66
5	379	66
6	410	66
7	425	66
8	435	66
0	435	66