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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample694.0ms (14.6%)

Memory

6.6MiB live, 794.9MiB allocated

Samples

480.0ms

8 256×

valid

Precisions

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

ival-div: 87.0ms (53.1% of total)

ival-add: 59.0ms (36% of total)

exact: 8.0ms (4.9% of total)

ival-true: 7.0ms (4.3% of total)

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

Bogosity

explain85.0ms (1.8%)

Memory

-28.7MiB live, 147.7MiB 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

25.0ms

512×

valid

Compiler

Compiled 53 to 34 computations (35.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (46.4% of total)

ival-add: 5.0ms (46.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB 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	96	6
5	106	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

0.5MiB live, 0.5MiB 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

2.1MiB live, 2.1MiB 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

16.5MiB live, 16.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.01171875	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (51.8% of total)

ival-add: 1.0ms (25.9% 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

0.9MiB live, 0.9MiB 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)))

simplify11.0ms (0.2%)

Memory

-31.5MiB live, 4.9MiB 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)

rewrite197.0ms (4.2%)

Memory

17.3MiB live, 169.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	25	4
2	126	4
3	957	4
0	8643	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 (-.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 (/.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 (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)

eval29.0ms (0.6%)

Memory: 23.9MiB live, 59.5MiB allocated
Compiler: Compiled 6 207 to 635 computations (89.8% saved)

prune16.0ms (0.3%)

Memory

-19.4MiB live, 19.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	262	5	267
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	263	5	268

Accuracy

100.0%

Counts

268 → 5

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))))
▶	50.2%	(/.f64 (-.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal 1/3 binary64))))
▶	68.6%	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	53.5%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 136 to 76 computations (44.1% saved)

simplify105.0ms (2.2%)

Memory

19.6MiB live, 143.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	(-.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64)))
cost-diff	128	(.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))
cost-diff	3712	(/.f64 (-.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
cost-diff	512	(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
cost-diff	1024	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
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	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
cost-diff	0	(-.f64 x #s(literal -1/3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	178
0	45	156
1	94	156
2	295	152
3	1196	143
4	6146	143
0	8379	136

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (2.4%)

Memory

-13.1MiB live, 183.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.23503876953688402	(.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))
accuracy	14.118589984186094	(/.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 x x))
accuracy	17.34459571885576	(/.f64 (-.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 x x)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.029628759768442016	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.1171875	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.16796875	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
accuracy	19.631762956297827	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	0.015625	(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	0.015625	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.1640625	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.234375	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	29.781464661789563	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
accuracy	0.01171875	(-.f64 x #s(literal -1/3 binary64))

Samples

63.0ms	208×	0	valid
16.0ms	23×	2	valid
13.0ms	25×	1	valid

Compiler

Compiled 361 to 56 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

const: 18.0ms (29.8% of total)

ival-div: 14.0ms (23.1% of total)

ival-mult: 14.0ms (23.1% of total)

ival-sub: 7.0ms (11.6% of total)

adjust: 3.0ms (5% of total)

ival-add: 3.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

16 → 74

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

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

3.0ms

-inf

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

simplify166.0ms (3.5%)

Memory

-18.7MiB live, 217.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	624
1	574	602
2	1502	564
3	4873	550
0	8246	517

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 73

Calls

Call 1

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

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

rewrite226.0ms (4.8%)

Memory

5.6MiB live, 283.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	151
0	45	142
1	192	138
2	1836	132
0	8473	129

Stop Event

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

Counts

16 → 1 101

Calls

Call 1

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

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

eval268.0ms (5.6%)

Memory: 1.8MiB live, 230.8MiB allocated
Compiler: Compiled 41 355 to 4 019 computations (90.3% saved)

prune17.0ms (0.4%)

Memory

30.7MiB live, 69.4MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 229	3	1 232
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 232	5	1 237

Accuracy

100.0%

Counts

1 237 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(fma.f64 x #s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
▶	68.6%	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x (.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64))))
▶	53.8%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	53.5%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 76 to 53 computations (30.3% saved)

simplify183.0ms (3.9%)

Memory

-21.6MiB live, 187.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x))
cost-diff	0	(fma.f64 x #s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
cost-diff	384	(fma.f64 (-.f64 #s(literal 1/3 binary64) x) x (*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64)))
cost-diff	512	(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
cost-diff	896	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x (.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	182
0	49	176
1	78	176
2	176	153
3	558	152
4	1722	152
5	7421	152
0	8531	143

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (2.8%)

Memory

24.3MiB live, 132.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 x #s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.015625	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.1640625	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
accuracy	29.765750014599888	#s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0.1171875	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.1640625	(*.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64))
accuracy	0.16796875	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
accuracy	19.631762956297827	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x (.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64))))
accuracy	0.029628759768442016	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.16796875	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
accuracy	19.631762956297827	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	29.918046157382747	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))

Samples

71.0ms	208×	0	valid
26.0ms	25×	1	valid
14.0ms	23×	2	valid

Compiler

Compiled 352 to 61 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

const: 39.0ms (40.8% of total)

ival-div: 24.0ms (25.1% of total)

ival-mult: 20.0ms (20.9% of total)

ival-add: 4.0ms (4.2% of total)

ival-sub: 4.0ms (4.2% of total)

adjust: 3.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

-36.0MiB live, 12.7MiB allocated

Counts

15 → 57

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify160.0ms (3.4%)

Memory

7.2MiB live, 176.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	435
1	471	423
2	1231	415
3	3905	391
0	8319	363

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

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

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

rewrite217.0ms (4.6%)

Memory

-14.9MiB live, 214.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	155
0	49	149
1	179	149
2	1421	138
0	8426	133

Stop Event

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

Counts

15 → 822

Calls

Call 1

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

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

eval540.0ms (11.4%)

Memory: 26.9MiB live, 184.2MiB allocated
Compiler: Compiled 29 331 to 2 538 computations (91.3% saved)

prune15.0ms (0.3%)

Memory

4.4MiB live, 40.1MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	789	3	792
Fresh	0	0	0
Picked	3	0	3
Done	0	2	2
Total	792	5	797

Accuracy

100.0%

Counts

797 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(fma.f64 x #s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x)) #s(approx (/ -1/9 (- x 1/3)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))))
▶	53.8%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))))
▶	54.4%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	53.5%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 94 to 64 computations (31.9% saved)

simplify217.0ms (4.6%)

Memory

-5.4MiB live, 77.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ -1/9 (- x 1/3)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64)))
cost-diff	0	(*.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x))
cost-diff	0	(fma.f64 x #s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x)) #s(approx (/ -1/9 (- x 1/3)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))))
cost-diff	128	(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	384	(fma.f64 (-.f64 #s(literal 1/3 binary64) x) x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	#s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	213
0	52	213
1	82	207
2	142	191
3	325	191
4	770	191
5	1557	191
6	2824	191
7	3515	191
8	3947	191
9	4223	191
10	4362	191
11	4521	191
12	4944	191
13	5212	191
14	5221	191
15	5233	191
16	5246	191
17	5246	191
18	5253	191
0	5253	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize235.0ms (4.9%)

Memory

-30.8MiB live, 220.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 x #s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x)) #s(approx (/ -1/9 (- x 1/3)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
accuracy	29.28173923576113	#s(approx (/ -1/9 (- x 1/3)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64)))
accuracy	29.765750014599888	#s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0.1640625	(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.16796875	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
accuracy	19.631762956297827	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))))
accuracy	29.918046157382747	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
accuracy	0.16796875	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
accuracy	19.631762956297827	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))))
accuracy	28.84826407638303	#s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))
accuracy	29.918046157382747	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))

Samples

104.0ms	189×	0	valid
82.0ms	30×	2	valid
22.0ms	37×	1	valid

Compiler

Compiled 383 to 73 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 76.0ms (39.8% of total)

ival-div: 58.0ms (30.4% of total)

const: 23.0ms (12% of total)

ival-add: 20.0ms (10.5% of total)

adjust: 8.0ms (4.2% of total)

ival-sub: 5.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

12 → 49

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify173.0ms (3.6%)

Memory

25.9MiB live, 142.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	418
1	469	408
2	1242	390
3	3884	368
4	7304	368
0	8098	340

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

rewrite188.0ms (4%)

Memory

-1.8MiB live, 240.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	165
0	52	165
1	213	159
2	1577	159
0	8301	156

Stop Event

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

Counts

12 → 355

Calls

Call 1

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

Outputs
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (- ( (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
(.f64 (pow.f64 #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(literal -1 binary64)) #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))))
(.f64 (neg.f64 #s(approx (- ( (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))) (/.f64 #s(literal -1 binary64) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (- ( (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
(.f64 #s(approx (- ( (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (pow.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))))))
(/.f64 (neg.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))) (neg.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))))
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))))) (/.f64 (neg.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- ( (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))))
(.f64 #s(approx (- ( (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(literal 1 binary64))
#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
(neg.f64 (neg.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))))
(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (.f64 #s(literal 1/9 binary64) x))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) (-.f64 #s(literal 1/729 binary64) (*.f64 x #s(literal -1/243 binary64)))))))
(.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) #s(literal -1/729 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (.f64 x #s(literal -1/243 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64) #s(literal -1/19683 binary64)) (pow.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) (-.f64 #s(literal 1/729 binary64) (*.f64 x #s(literal -1/243 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))) (.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (fma.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/81 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 1/9 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 x x) #s(literal -1/729 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64) #s(literal -1/19683 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #s(literal 1/729 binary64))) (*.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/81 binary64) (.f64 x x))) (-.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 1/9 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 x x) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64) #s(literal -1/19683 binary64))) (neg.f64 (+.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (*.f64 x #s(literal -1/243 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64) #s(literal -1/19683 binary64))) (neg.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 x x) (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))))
(/.f64 (fma.f64 #s(literal 1/81 binary64) (*.f64 x x) #s(literal -1/729 binary64)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64) #s(literal -1/19683 binary64)) (+.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (*.f64 x #s(literal -1/243 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64) #s(literal -1/19683 binary64)) (fma.f64 #s(literal 1/81 binary64) (.f64 x x) (-.f64 #s(literal 1/729 binary64) (.f64 x #s(literal -1/243 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (.f64 #s(literal 1/9 binary64) x)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/729 binary64) (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (*.f64 x #s(literal -1/243 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64) #s(literal -1/19683 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))))
(fma.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
(fma.f64 x #s(literal 1/9 binary64) #s(literal -1/27 binary64))
(-.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 #s(literal -1/27 binary64) (.f64 #s(literal 1/9 binary64) x))) (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (-.f64 #s(literal -1/27 binary64) (.f64 #s(literal 1/9 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 x x)) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64))) (neg.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) x #s(literal 1/27 binary64)))))
(+.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal -1/27 binary64))
(+.f64 #s(literal -1/27 binary64) (*.f64 #s(literal 1/9 binary64) x))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
(.f64 #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(literal 1 binary64))
#s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))
(/.f64 (neg.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(literal -1 binary64)))
(/.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)))) (.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)) (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x))

eval374.0ms (7.9%)

Memory: -25.6MiB live, 83.3MiB allocated
Compiler: Compiled 19 000 to 1 443 computations (92.4% saved)

prune10.0ms (0.2%)

Memory

33.2MiB live, 33.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	438	1	439
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	439	5	444

Accuracy

100.0%

Counts

444 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.0%	(fma.f64 x #s(approx (/ x (- x 1/3)) (*.f64 #s(literal -3 binary64) x)) #s(approx (/ -1/9 (- x 1/3)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x #s(literal 1/3 binary64))))
	53.8%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(approx (* -1/3 (- 1/3 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))
✓	54.4%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	53.5%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 356 to 137 computations (61.5% saved)

regimes32.0ms (0.7%)

Memory

-22.4MiB live, 35.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms	x

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)

regimes3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify43.0ms (0.9%)

Memory

-3.3MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	14	8
2	18	8
3	20	8
4	21	8

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness127.0ms (2.7%)

Memory

-16.0MiB live, 100.5MiB 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	957	4
0	8643	4

Stop Event

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess111.0ms (2.3%)

Memory: -6.2MiB live, 30.3MiB allocated
Compiler: Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample694.0ms (14.6%)

explain85.0ms (1.8%)

preprocess13.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.3%)

series1.0ms (0%)

simplify11.0ms (0.2%)

rewrite197.0ms (4.2%)

eval29.0ms (0.6%)

prune16.0ms (0.3%)

simplify105.0ms (2.2%)

localize114.0ms (2.4%)

series11.0ms (0.2%)

simplify166.0ms (3.5%)

rewrite226.0ms (4.8%)

eval268.0ms (5.6%)

prune17.0ms (0.4%)

simplify183.0ms (3.9%)

localize132.0ms (2.8%)

series15.0ms (0.3%)

simplify160.0ms (3.4%)

rewrite217.0ms (4.6%)

eval540.0ms (11.4%)

prune15.0ms (0.3%)

simplify217.0ms (4.6%)

localize235.0ms (4.9%)

series6.0ms (0.1%)

simplify173.0ms (3.6%)

rewrite188.0ms (4%)

eval374.0ms (7.9%)

prune10.0ms (0.2%)

regimes32.0ms (0.7%)

regimes3.0ms (0.1%)

simplify43.0ms (0.9%)

soundness127.0ms (2.7%)

preprocess111.0ms (2.3%)

end0.0ms (0%)

Profiling