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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample755.0ms (16.1%)

Memory

9.9MiB live, 716.5MiB allocated

Samples

558.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-add: 187.0ms (69.7% of total)

ival-div: 66.0ms (24.6% of total)

exact: 7.0ms (2.6% of total)

ival-true: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain75.0ms (1.6%)

Memory

-19.0MiB live, 141.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 53 to 34 computations (35.8% saved)

Precisions

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

ival-div: 6.0ms (61.7% of total)

ival-add: 2.0ms (20.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess12.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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)

localize50.0ms (1.1%)

Memory

-12.4MiB live, 26.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.015625	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

45.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (54.8% of total)

ival-add: 1.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 3

Calls

Call 1

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

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

rewrite169.0ms (3.6%)

Memory

11.1MiB live, 248.4MiB 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)

eval30.0ms (0.6%)

Memory: -20.8MiB live, 67.8MiB allocated
Compiler: Compiled 6 207 to 635 computations (89.8% saved)

prune4.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

268 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
▶	65.5%	(/.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))
▶	48.4%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify146.0ms (3.1%)

Memory

-4.6MiB live, 111.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	31	107
1	55	107
2	151	80
3	527	76
4	1653	76
5	7174	76
0	8321	75

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (1.1%)

Memory

13.9MiB live, 90.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.00390625	(fma.f64 x x #s(literal -1/9 binary64))
accuracy	16.083364993570502	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.02734375	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.15234375	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.203125	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
accuracy	21.42899640462466	(/.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	(-.f64 x #s(literal -1/3 binary64))
accuracy	33.01762630036111	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Samples

40.0ms

256×

valid

Compiler

Compiled 194 to 41 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

const: 10.0ms (35.8% of total)

ival-mult: 6.0ms (21.5% of total)

ival-div: 5.0ms (17.9% of total)

ival-sub: 4.0ms (14.3% of total)

ival-add: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-27.0MiB live, 11.2MiB allocated

Counts

10 → 36

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ x (/ 1 3)) (- 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 x) -1/9) (- x 1/3)) (+ (* x x) -1/9) (- x 1/3) (* (- x 1/3) (- 1/3 x)))
2.0ms	x	@	inf	((+ x (/ 1 3)) (- 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 x) -1/9) (- x 1/3)) (+ (* x x) -1/9) (- x 1/3) (* (- x 1/3) (- 1/3 x)))
2.0ms	x	@	0	((+ x (/ 1 3)) (- 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 x) -1/9) (- x 1/3)) (+ (* x x) -1/9) (- x 1/3) (* (- x 1/3) (- 1/3 x)))

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify137.0ms (2.9%)

Memory

25.6MiB live, 174.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	239
1	280	234
2	776	230
3	2704	202
4	7783	202
0	8022	186

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

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

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

rewrite212.0ms (4.5%)

Memory

6.1MiB live, 282.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	76
0	31	53
1	129	53
2	1019	47
0	8871	46

Stop Event

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

Counts

10 → 1 378

Calls

Call 1

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

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

eval200.0ms (4.3%)

Memory: 8.3MiB live, 198.1MiB allocated
Compiler: Compiled 30 216 to 2 804 computations (90.7% saved)

prune32.0ms (0.7%)

Memory

0.7MiB live, 46.7MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 002	2	1 004
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 003	5	1 008

Accuracy

100.0%

Counts

1 008 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.5%	(/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x) (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)))
✓	74.9%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
▶	47.9%	(/.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))
✓	48.4%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify144.0ms (3.1%)

Memory

-4.2MiB live, 108.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(-.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))
cost-diff	384	(fma.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
cost-diff	896	(/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x) (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	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	20	119
0	29	119
1	57	119
2	122	107
3	316	107
4	791	99
5	2331	99
6	6998	99
0	8285	92

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

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

localize101.0ms (2.2%)

Memory

-20.2MiB live, 118.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.0546875	(fma.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
accuracy	0.1875	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
accuracy	21.42899640462466	(/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x) (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	0.02734375	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.1875	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
accuracy	21.42899640462466	(/.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	33.73911727633869	#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

82.0ms

256×

valid

Compiler

Compiled 236 to 41 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 26.0ms (36.4% of total)

const: 22.0ms (30.8% of total)

ival-add: 17.0ms (23.8% of total)

ival-sub: 3.0ms (4.2% of total)

ival-div: 3.0ms (4.2% of total)

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

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

series4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

7 → 29

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

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

1.0ms

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

simplify238.0ms (5.1%)

Memory

-2.4MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	213
1	251	208
2	724	200
3	2570	182
4	7199	180
0	8253	171

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

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

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

rewrite437.0ms (9.3%)

Memory

-1.5MiB live, 241.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	29	88
1	136	88
2	1076	73
0	8852	69

Stop Event

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

Counts

7 → 607

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

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

eval364.0ms (7.8%)

Memory: 23.1MiB live, 219.9MiB allocated
Compiler: Compiled 34 208 to 2 474 computations (92.8% saved)

prune31.0ms (0.7%)

Memory

-29.9MiB live, 45.8MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	965	2	967
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	967	5	972

Accuracy

100.0%

Counts

972 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.5%	(/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))))
✓	74.9%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
▶	48.8%	(/.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))) #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))
✓	48.4%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 75 to 53 computations (29.3% saved)

simplify299.0ms (6.4%)

Memory

22.1MiB live, 142.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))))
cost-diff	384	(fma.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
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	25	150
0	38	150
1	67	150
2	132	138
3	320	138
4	728	138
5	1613	134
6	3196	134
7	4988	134
8	6058	134
9	7225	134
10	7407	134
11	7463	134
12	7483	134
13	7492	134
14	7544	134
15	7583	134
16	7632	134
17	7632	134
0	8044	130

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

localize139.0ms (3%)

Memory

6.6MiB live, 163.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))
accuracy	0.0546875	(fma.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
accuracy	0.1875	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
accuracy	21.42899640462466	(/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))))
accuracy	0.19140625	(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))
accuracy	21.42899640462466	(/.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	32.6897627855993	#s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64)))
accuracy	33.73911727633869	#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

125.0ms

256×

valid

Compiler

Compiled 276 to 53 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

const: 48.0ms (61.6% of total)

ival-mult: 12.0ms (15.4% of total)

ival-div: 9.0ms (11.5% of total)

ival-sub: 4.0ms (5.1% of total)

ival-add: 4.0ms (5.1% of total)

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

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

series43.0ms (0.9%)

Memory

-25.9MiB live, 11.4MiB allocated

Counts

10 → 33

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

Calls

3 calls:

Time

Variable

Point

Expression

40.0ms

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

1.0ms

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

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

simplify234.0ms (5%)

Memory

28.1MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	229
1	264	224
2	762	216
3	2684	188
4	7413	188
0	8467	171

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

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 (* -1 x))
(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 (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)
(* x (- (* 1/3 (/ 1 x)) 1))
(* 2/3 x)
(* x (- 2/3 (* 1/9 (/ 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 (* 1/3 (/ 1 x)))))
(* -1 (* x (- (* 1/9 (/ 1 x)) 2/3)))

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

rewrite279.0ms (6%)

Memory

4.0MiB live, 243.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	118
0	38	118
1	183	118
2	1370	118
0	8540	112

Stop Event

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

Counts

10 → 387

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

Outputs
(.f64 (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 -1/2 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 -1/2 binary64)))
(.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 #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 (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(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 #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 (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(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 #s(literal 1 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 binary64) (+.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/81 binary64) (.f64 x x) (*.f64 (neg.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)))
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(+.f64 (/.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (fma.f64 #s(literal 2/3 binary64) x #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 2/3 binary64) x #s(literal 1/9 binary64)))))
(+.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal -1/9 binary64))
(+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal 2/3 binary64) x))
(.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 #s(literal 2/3 binary64) x) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)))) (.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/9 binary64) (.f64 (-.f64 #s(literal 2/3 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64))) (-.f64 #s(literal -1/9 binary64) (.f64 (-.f64 #s(literal 2/3 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/9 binary64) (.f64 (-.f64 #s(literal 2/3 binary64) x) x)) (-.f64 #s(literal 1/81 binary64) (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64))))
(fma.f64 (.f64 (-.f64 #s(literal 4/9 binary64) (.f64 x x)) x) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64)) #s(literal -1/9 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x (+.f64 #s(literal 2/3 binary64) x) #s(literal 4/9 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64))
(fma.f64 (.f64 x (-.f64 #s(literal 4/9 binary64) (.f64 x x))) (pow.f64 (+.f64 #s(literal 2/3 binary64) x) #s(literal -1 binary64)) #s(literal -1/9 binary64))
(fma.f64 (*.f64 x (-.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (+.f64 #s(literal 2/3 binary64) x) #s(literal 4/9 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64))
(fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))
(fma.f64 x (-.f64 #s(literal 2/3 binary64) x) #s(literal -1/9 binary64))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal -1/9 binary64) (.f64 (-.f64 #s(literal 2/3 binary64) x) x))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (-.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 #s(literal 2/3 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal 1/9 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) x) x) #s(literal -1/9 binary64))
(+.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 #s(literal 2/3 binary64) x) x))

eval61.0ms (1.3%)

Memory: -11.7MiB live, 147.9MiB allocated
Compiler: Compiled 19 254 to 1 624 computations (91.6% saved)

prune10.0ms (0.2%)

Memory

-5.2MiB live, 33.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	444	0	444
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	444	5	449

Accuracy

100.0%

Counts

449 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.5%	(/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) #s(approx ( (- x 1/3) (- 1/3 x)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))))
✓	74.9%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
✓	48.8%	(/.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))) #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))
✓	48.4%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 221 to 101 computations (54.3% saved)

regimes7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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
48.4%	1	`x`
48.4%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify67.0ms (1.4%)

Memory

-33.7MiB live, 50.6MiB 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))

soundness163.0ms (3.5%)

Memory

29.7MiB live, 68.3MiB 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
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×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess169.0ms (3.6%)

Memory: -20.0MiB live, 17.9MiB 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%)

sample755.0ms (16.1%)

explain75.0ms (1.6%)

preprocess12.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize50.0ms (1.1%)

series1.0ms (0%)

simplify4.0ms (0.1%)

rewrite169.0ms (3.6%)

eval30.0ms (0.6%)

prune4.0ms (0.1%)

simplify146.0ms (3.1%)

localize53.0ms (1.1%)

series9.0ms (0.2%)

simplify137.0ms (2.9%)

rewrite212.0ms (4.5%)

eval200.0ms (4.3%)

prune32.0ms (0.7%)

simplify144.0ms (3.1%)

localize101.0ms (2.2%)

series4.0ms (0.1%)

simplify238.0ms (5.1%)

rewrite437.0ms (9.3%)

eval364.0ms (7.8%)

prune31.0ms (0.7%)

simplify299.0ms (6.4%)

localize139.0ms (3%)

series43.0ms (0.9%)

simplify234.0ms (5%)

rewrite279.0ms (6%)

eval61.0ms (1.3%)

prune10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

simplify67.0ms (1.4%)

soundness163.0ms (3.5%)

preprocess169.0ms (3.6%)

end0.0ms (0%)

Profiling