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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample664.0ms (17.3%)

Memory

4.3MiB live, 743.5MiB allocated

Samples

389.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 77.0ms (48.7% of total)

ival-add: 66.0ms (41.7% of total)

exact: 7.0ms (4.4% of total)

ival-true: 6.0ms (3.8% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain51.0ms (1.3%)

Memory

34.9MiB live, 72.6MiB 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

18.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (52.8% of total)

ival-add: 2.0ms (26.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.5%)

Memory

-18.3MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	20	6
2	42	6
3	74	6
4	99	6
5	108	6
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

0.7MiB live, 0.7MiB 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)

simplify3.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

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 (0.3%)

Memory

14.5MiB live, 14.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.0078125	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (54.7% of total)

ival-add: 1.0ms (27.3% 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

0.7MiB live, 0.7MiB 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)))

simplify4.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	22	8
2	37	8
3	77	8
4	77	8
5	78	8
6	80	8
7	80	8
0	80	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 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)

rewrite225.0ms (5.9%)

Memory

-30.7MiB live, 222.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	25	4
2	126	4
3	965	4
0	8706	4

Stop Event

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

Counts

2 → 265

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

eval71.0ms (1.8%)

Memory: -10.2MiB live, 66.4MiB allocated
Compiler: Compiled 6 207 to 635 computations (89.8% saved)

prune4.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	263	4	267
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	4	268

Accuracy

100.0%

Counts

268 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
▶	64.0%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	51.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 45 to 27 computations (40% saved)

simplify184.0ms (4.8%)

Memory

9.8MiB live, 212.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
cost-diff	896	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
cost-diff	192	(-.f64 (.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	1536	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
cost-diff	0	(-.f64 x #s(literal -1/3 binary64))
cost-diff	0	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	107
0	33	118
1	60	118
2	172	92
3	724	88
4	2668	88
5	7367	88
0	8800	82

Stop Event

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

Calls

Call 1

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

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

localize186.0ms (4.8%)

Memory

-21.8MiB live, 92.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.0078125	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.16015625	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.2109375	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.03515625	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
accuracy	0.04296875	(.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	0.125	(.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	22.451295174083043	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
accuracy	0.0078125	(-.f64 x #s(literal -1/3 binary64))
accuracy	31.376599544859268	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Samples

50.0ms	203×	0	valid
12.0ms	24×	2	valid
9.0ms	29×	1	valid

Compiler

Compiled 219 to 44 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 25.0ms (44.7% of total)

const: 12.0ms (21.5% of total)

ival-div: 9.0ms (16.1% of total)

ival-sub: 4.0ms (7.2% of total)

adjust: 3.0ms (5.4% of total)

ival-add: 3.0ms (5.4% 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

11.6MiB live, 11.6MiB allocated

Counts

11 → 48

Calls

Call 1

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

Outputs
1/3
(+ 1/3 x)
(+ 1/3 (* -1 x))
(+ 1/3 (* x (- (* -3 x) 1)))
(+ 1/3 (* x (- (* x (- (* 9 x) 3)) 1)))
-3
(- (* 9 x) 3)
(* -3 (pow x 2))
(* (pow x 2) (- (* 9 x) 3))
(* -3 x)
(* x (- (* -9 x) 3))
(* x (- (* x (- (* -27 x) 9)) 3))
(* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3))
-1/3
(- x 1/3)
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
1
(+ 1 (* -6 x))
(+ 1 (* x (- (* 9 x) 6)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* 9 (pow x 3))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x))))
(* (pow x 3) (- (+ 9 (* 1/3 (/ 1 (pow x 3)))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 9 x)
(* x (- 9 (* 3 (/ 1 x))))
(+ 1 (* 1/3 (/ 1 x)))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))
(+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(* 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)
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) 3) x)) 9)))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -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))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ x (/ 1 3)) (- x -1/3) (/ (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9))) (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) 9) (* (* x x) (* (- x 1/3) 9)) (+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (- x 1/3) (/ -1/9 (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9)))
3.0ms	x	@	inf	((+ x (/ 1 3)) (- x -1/3) (/ (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9))) (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) 9) (* (* x x) (* (- x 1/3) 9)) (+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (- x 1/3) (/ -1/9 (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9)))
2.0ms	x	@	0	((+ x (/ 1 3)) (- x -1/3) (/ (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9))) (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) 9) (* (* x x) (* (- x 1/3) 9)) (+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (- x 1/3) (/ -1/9 (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9)))

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify200.0ms (5.2%)

Memory

-18.9MiB live, 143.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	394
1	434	386
2	1144	380
3	3433	366
0	8427	332

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* -1 x))
(-.f64 #s(literal 1/3 binary64) x)
(+ 1/3 (* x (- (* -3 x) 1)))
(fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (- (* 9 x) 3)) 1)))
(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))
-3
#s(literal -3 binary64)
(- (* 9 x) 3)
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(* -3 (pow x 2))
(.f64 (.f64 x x) #s(literal -3 binary64))
(* (pow x 2) (- (* 9 x) 3))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* -9 x) 3))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)) x)
(* x (- (* x (- (* -27 x) 9)) 3))
(*.f64 (fma.f64 (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64)) x #s(literal -3 binary64)) x)
(* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3))
(*.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)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.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
#s(literal 1 binary64)
(+ 1 (* -6 x))
(fma.f64 #s(literal -6 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 9 x) 6)))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) 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 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) x #s(literal -1 binary64)) x)
(* (pow x 3) (- (+ 9 (* 1/3 (/ 1 (pow x 3)))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) #s(literal -9 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (- 9 (* 3 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(+ 1 (* 1/3 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))
(+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #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 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x)
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9)))
(*.f64 (fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64)) x #s(literal -1 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) 3) x)) 9)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) #s(literal -9 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -3 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))
(fma.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x #s(literal 1 binary64))

rewrite234.0ms (6.1%)

Memory

9.0MiB live, 282.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	33	92
1	128	88
2	1093	88
0	8531	84

Stop Event

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

Counts

11 → 643

Calls

Call 1

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

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

eval242.0ms (6.3%)

Memory: 16.4MiB live, 259.5MiB allocated
Compiler: Compiled 28 859 to 2 697 computations (90.7% saved)

prune16.0ms (0.4%)

Memory

11.0MiB live, 47.7MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	918	1	919
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	920	3	923

Accuracy

100.0%

Counts

923 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

74.5%

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

✓

51.0%

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

Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify23.0ms (0.6%)

Memory

-24.6MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
cost-diff	448	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	14	31
1	25	29
2	46	29
3	97	29
4	204	29
5	323	29
6	604	29
7	1116	29
8	1201	29
9	1202	29
0	1202	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.8%)

Memory

5.3MiB live, 42.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(-.f64 #s(literal 1/3 binary64) x)
accuracy	0.01171875	(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
accuracy	16.331366125935627	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))

Samples

24.0ms

256×

valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 8.0ms (47.3% of total)

ival-mult: 5.0ms (29.5% of total)

ival-sub: 2.0ms (11.8% of total)

ival-div: 2.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

5 → 23

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify121.0ms (3.2%)

Memory

16.5MiB live, 96.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	141
1	189	131
2	429	127
3	1075	127
4	2277	127
5	4310	127
6	7162	127
0	8103	121

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite205.0ms (5.3%)

Memory

-9.7MiB live, 183.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	14	25
1	62	19
2	407	19
3	5137	19
0	8841	19

Stop Event

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

Counts

5 → 566

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 1/6561 binary64) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/81 binary64)) #s(literal 1/6561 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (pow.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)) (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) x) x)))
(/.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) (-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) x)) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) x)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) x)) x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1/3 binary64) x)) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) x) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) (-.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (.f64 (-.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)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
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(/.f64 (-.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6561 binary64))))
(/.f64 (-.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64))))
(/.f64 (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)))))
(/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -1/9 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -1/9 binary64) (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))
(/.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) x))
(neg.f64 (-.f64 x #s(literal 1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal 1/9 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x) (-.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) x) (neg.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1/9 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)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(fma.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/9 binary64) (pow.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(-.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 #s(literal 1/729 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(literal 1/3 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 #s(literal 1/3 binary64) x)))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (neg.f64 x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (neg.f64 x))

eval68.0ms (1.8%)

Memory: -5.6MiB live, 153.4MiB allocated
Compiler: Compiled 12 986 to 1 749 computations (86.5% saved)

prune10.0ms (0.3%)

Memory

-0.7MiB live, 37.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	581	1	582
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	581	4	585

Accuracy

100.0%

Counts

585 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	74.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
▶	50.1%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))
✓	51.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 37 to 32 computations (13.5% saved)

simplify64.0ms (1.7%)

Memory

-7.6MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
0	18	42
1	29	42
2	47	42
3	75	42
4	135	42
5	179	42
6	233	42
7	329	42
8	396	42
9	444	42
10	572	42
11	618	42
12	635	42
13	675	42
14	696	42
15	735	42
16	752	42
17	760	42
18	772	42
19	777	42
0	777	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize230.0ms (6%)

Memory

25.7MiB live, 64.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
accuracy	16.331366125935627	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))
accuracy	31.58455929001248	#s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))

Samples

220.0ms	247×	0	valid
1.0ms	7×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions

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

const: 7.0ms (39.7% of total)

ival-mult: 5.0ms (28.3% of total)

ival-div: 2.0ms (11.3% of total)

ival-sub: 2.0ms (11.3% of total)

ival-add: 1.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.8%)

Memory

-30.1MiB live, 7.9MiB allocated

Counts

4 → 19

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

31.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify327.0ms (8.5%)

Memory

2.1MiB live, 123.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	127
1	169	121
2	379	116
3	900	116
4	1964	116
5	3891	116
6	6338	116
0	8095	110

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite201.0ms (5.2%)

Memory

25.2MiB live, 146.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
0	18	34
1	77	34
2	480	34
3	4152	34
0	8638	34

Stop Event

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

Counts

4 → 122

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (-.f64 #s(literal 1/6561 binary64) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/81 binary64) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/81 binary64)) #s(literal 1/6561 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))))
(.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))))
(.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (*.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (*.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64) (.f64 (pow.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)))
(/.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))))
(fma.f64 (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (neg.f64 x)) x (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)))
(fma.f64 (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 x x) (*.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)))
(fma.f64 (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) x) (neg.f64 x) (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)))
(fma.f64 (neg.f64 x) (.f64 x #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (*.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)))
(fma.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (.f64 (neg.f64 x) x) (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)))
(fma.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))))
(fma.f64 x (.f64 (neg.f64 x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/9 binary64) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) (.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))))
(+.f64 (.f64 (.f64 (neg.f64 x) x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))) (*.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)))
(+.f64 (.f64 #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))) #s(literal 1/9 binary64)) (.f64 (*.f64 (neg.f64 x) x) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1/6561 binary64) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/81 binary64)) #s(literal 1/6561 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1/81 binary64) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (-.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6561 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/531441 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1/9 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6561 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/531441 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/729 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6561 binary64))))
(/.f64 (-.f64 #s(literal 1/531441 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 #s(literal 1/387420489 binary64) (pow.f64 x #s(literal 18 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/531441 binary64))))
(/.f64 (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))))
(neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))
(fma.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 #s(literal 1/6561 binary64) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/81 binary64) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)))))
(fma.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/81 binary64)) #s(literal 1/6561 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)))))
(fma.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(fma.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(fma.f64 (neg.f64 x) x #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/81 binary64) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(fma.f64 #s(literal 1/729 binary64) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1/9 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1/9 binary64))
(-.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal 1/81 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64)))

eval38.0ms (1%)

Memory: -18.4MiB live, 19.1MiB allocated
Compiler: Compiled 3 701 to 448 computations (87.9% saved)

prune5.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	135	4	139

Accuracy

100.0%

Counts

139 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	74.5%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
	99.7%	(.f64 #s(approx (- 1/9 ( x x)) #s(literal 1/9 binary64)) #s(approx (/ 1 (- 1/3 x)) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))
✓	51.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 134 to 75 computations (44% saved)

regimes6.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes6.0ms (0.2%)

Memory

-31.6MiB live, 5.9MiB 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:

5.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
51.0%	1	`x`
51.0%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify88.0ms (2.3%)

Memory

15.6MiB live, 50.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	21	20
2	28	20
3	34	20
4	38	20
5	45	20
6	51	20
7	70	20
8	148	20
9	3434	20
10	7055	20

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness166.0ms (4.3%)

Memory

0.8MiB live, 151.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	22	8
2	37	8
3	77	8
4	77	8
5	78	8
6	80	8
7	80	8
0	80	8
0	5	4
0	8	4
1	25	4
2	126	4
3	965	4
0	8706	4

Stop Event

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

Compiler

Compiled 62 to 37 computations (40.3% saved)

preprocess87.0ms (2.3%)

Memory: -8.6MiB live, 65.1MiB allocated
Compiler: Compiled 54 to 38 computations (29.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	42
0	18	42
1	29	42
2	47	42
3	75	42
4	135	42
5	179	42
6	233	42
7	329	42
8	396	42
9	444	42
10	572	42
11	618	42
12	635	42
13	675	42
14	696	42
15	735	42
16	752	42
17	760	42
18	772	42
19	777	42
0	777	42

Iter	Nodes	Cost
0	13	42
0	18	42
1	29	42
2	47	42
3	75	42
4	135	42
5	179	42
6	233	42
7	329	42
8	396	42
9	444	42
10	572	42
11	618	42
12	635	42
13	675	42
14	696	42
15	735	42
16	752	42
17	760	42
18	772	42
19	777	42
0	777	42

start0.0ms (0%)

analyze0.0ms (0%)

sample664.0ms (17.3%)

explain51.0ms (1.3%)

preprocess19.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.3%)

series1.0ms (0%)

simplify4.0ms (0.1%)

rewrite225.0ms (5.9%)

eval71.0ms (1.8%)

prune4.0ms (0.1%)

simplify184.0ms (4.8%)

localize186.0ms (4.8%)

series8.0ms (0.2%)

simplify200.0ms (5.2%)

rewrite234.0ms (6.1%)

eval242.0ms (6.3%)

prune16.0ms (0.4%)

simplify23.0ms (0.6%)

localize31.0ms (0.8%)

series3.0ms (0.1%)

simplify121.0ms (3.2%)

rewrite205.0ms (5.3%)

eval68.0ms (1.8%)

prune10.0ms (0.3%)

simplify64.0ms (1.7%)

localize230.0ms (6%)

series32.0ms (0.8%)

simplify327.0ms (8.5%)

rewrite201.0ms (5.2%)

eval38.0ms (1%)

prune5.0ms (0.1%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.2%)

simplify88.0ms (2.3%)

soundness166.0ms (4.3%)

preprocess87.0ms (2.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	42
0	18	42
1	29	42
2	47	42
3	75	42
4	135	42
5	179	42
6	233	42
7	329	42
8	396	42
9	444	42
10	572	42
11	618	42
12	635	42
13	675	42
14	696	42
15	735	42
16	752	42
17	760	42
18	772	42
19	777	42
0	777	42