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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample819.0ms (17.3%)

Memory

1.7MiB live, 681.2MiB allocated

Samples

394.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-div: 73.0ms (58.1% of total)

ival-add: 38.0ms (30.2% of total)

exact: 7.0ms (5.6% of total)

ival-true: 5.0ms (4% of total)

ival-assert: 3.0ms (2.4% of total)

Bogosity

explain53.0ms (1.1%)

Memory

18.8MiB live, 57.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (53.7% of total)

ival-add: 2.0ms (26.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.3%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	20	6
2	42	6
3	74	6
4	99	6
5	108	6
0	5	3
0	8	3
1	11	3
0	11	3

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB 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	2	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.7%)

Memory

-26.8MiB live, 11.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.015625	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (54.2% of total)

ival-add: 1.0ms (27.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 3

Calls

Call 1

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

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

rewrite170.0ms (3.6%)

Memory

30.0MiB live, 211.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 265

Calls

Call 1

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

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

eval33.0ms (0.7%)

Memory: -6.2MiB live, 84.0MiB allocated
Compiler: Compiled 6 207 to 635 computations (89.8% saved)

prune28.0ms (0.6%)

Memory

-19.8MiB live, 19.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	261	6	267
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	262	6	268

Accuracy

100.0%

Counts

268 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
▶	79.5%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
▶	69.4%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
	79.4%	(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
▶	51.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 126 to 82 computations (34.9% saved)

simplify246.0ms (5.2%)

Memory

29.4MiB live, 219.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
cost-diff	1	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
cost-diff	2	(-.f64 (.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	11	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
cost-diff	0	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
cost-diff	4	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(-.f64 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	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
cost-diff	0	(-.f64 x #s(literal -1/3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	125
0	37	106
1	65	106
2	177	104
3	729	104
4	2663	103
5	7366	103
0	8795	100

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (3%)

Memory

-17.2MiB live, 133.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.046875	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
accuracy	0.0859375	(.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	0.1640625	(.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	18.914213782685433	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
accuracy	0.015625	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.03125	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.1953125	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.22265625	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.0078125	(fma.f64 x x #s(literal -1/9 binary64))
accuracy	0.015625	(-.f64 x #s(literal 1/3 binary64))
accuracy	13.125946560121097	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	31.115511833036635	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
accuracy	0.015625	(-.f64 x #s(literal -1/3 binary64))

Samples

100.0ms	211×	0	valid
12.0ms	24×	2	valid
7.0ms	20×	1	valid
4.0ms	1×	5	exit

Compiler

Compiled 130 to 25 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 54.0ms (49.3% of total)

ival-sub: 23.0ms (21% of total)

const: 15.0ms (13.7% of total)

ival-div: 10.0ms (9.1% of total)

ival-add: 4.0ms (3.7% of total)

adjust: 3.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (1.1%)

Memory

-28.8MiB live, 7.2MiB allocated

Counts

13 → 52

Calls

Call 1

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

Outputs
1/3
(+ 1/3 x)
-1/9
(- (pow x 2) 1/9)
-1/3
(- x 1/3)
(* -3 x)
(* x (- (* -9 x) 3))
(* x (- (* x (- (* -27 x) 9)) 3))
(* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3))
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(+ 1/3 (* x (- (* -3 x) 1)))
(+ 1/3 (* x (- (* x (- (* 9 x) 3)) 1)))
-3
(- (* 9 x) 3)
(* -3 (pow x 2))
(* (pow x 2) (- (* 9 x) 3))
1
(+ 1 (* -6 x))
(+ 1 (* x (- (* 9 x) 6)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/3 (/ 1 x))))
(+ 1 (* 1/3 (/ 1 x)))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))
(+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* 9 (pow x 3))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x))))
(* (pow x 3) (- (+ 9 (* 1/3 (/ 1 (pow x 3)))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 9 x)
(* x (- 9 (* 3 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) 3) x)) 9)))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	x	@	inf	((- x -1/3) (+ x (/ 1 3)) (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) (- x 1/3) (+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (/ -1/9 (- x 1/3)) (/ (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9))) (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) 9) (* (* x x) (* (- x 1/3) 9)) (* (- x 1/3) (* (- x 1/3) 9)))
3.0ms	x	@	-inf	((- x -1/3) (+ x (/ 1 3)) (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) (- x 1/3) (+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (/ -1/9 (- x 1/3)) (/ (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9))) (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) 9) (* (* x x) (* (- x 1/3) 9)) (* (- x 1/3) (* (- x 1/3) 9)))
3.0ms	x	@	0	((- x -1/3) (+ x (/ 1 3)) (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) (- x 1/3) (+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (/ -1/9 (- x 1/3)) (/ (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) (* (- x 1/3) 9))) (- (* (* x x) (* (- x 1/3) 9)) (- x 1/3)) (* (- x 1/3) 9) (* (* x x) (* (- x 1/3) 9)) (* (- x 1/3) (* (- x 1/3) 9)))

Time

Variable

Point

Expression

44.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

simplify120.0ms (2.5%)

Memory

42.1MiB live, 113.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	410
1	448	403
2	1183	398
3	3557	376
0	8262	340

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
-1/9
(- (pow x 2) 1/9)
-1/3
(- x 1/3)
(* -3 x)
(* x (- (* -9 x) 3))
(* x (- (* x (- (* -27 x) 9)) 3))
(* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3))
(+ 1/3 (* x (+ 1 (* 3 x))))
(+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x))))))
(+ 1/3 (* -1 x))
(+ 1/3 (* x (- (* -3 x) 1)))
(+ 1/3 (* x (- (* x (- (* 9 x) 3)) 1)))
-3
(- (* 9 x) 3)
(* -3 (pow x 2))
(* (pow x 2) (- (* 9 x) 3))
1
(+ 1 (* -6 x))
(+ 1 (* x (- (* 9 x) 6)))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/3 (/ 1 x))))
(+ 1 (* 1/3 (/ 1 x)))
(+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))
(+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 1/27 (/ 1 x)))) x)
(* 9 (pow x 3))
(* (pow x 3) (- 9 (* 3 (/ 1 x))))
(* (pow x 3) (+ 9 (* -1 (/ (+ 3 (/ 1 x)) x))))
(* (pow x 3) (- (+ 9 (* 1/3 (/ 1 (pow x 3)))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* 9 x)
(* x (- 9 (* 3 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 6 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 1 (pow x 2))) (* 6 (/ 1 x))))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x)))
(* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x))
(* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9)))
(* -1 (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) 3) x)) 9)))
(* -1 (* x (- (* 3 (/ 1 x)) 9)))
(* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x))))

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

rewrite249.0ms (5.3%)

Memory

-31.1MiB live, 289.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	37	99
1	152	95
2	1270	95
0	8512	91

Stop Event

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

Counts

13 → 768

Calls

Call 1

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

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

eval179.0ms (3.8%)

Memory: 5.1MiB live, 281.6MiB allocated
Compiler: Compiled 33 338 to 3 025 computations (90.9% saved)

prune31.0ms (0.7%)

Memory

22.4MiB live, 61.2MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 046	2	1 048
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 048	6	1 054

Accuracy

100.0%

Counts

1 054 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))))
✓	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
▶	79.2%	(/.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) (-.f64 x #s(literal 1/3 binary64))))
✓	79.5%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	51.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 66 to 41 computations (37.9% saved)

simplify227.0ms (4.8%)

Memory

-10.1MiB live, 182.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	99
0	27	99
1	52	95
2	89	89
3	175	87
4	347	77
5	1201	75
6	4456	75
0	8679	73

Stop Event

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

Calls

Call 1

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

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

localize65.0ms (1.4%)

Memory

19.0MiB live, 103.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))))
accuracy	0.046875	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64)))
accuracy	0.1953125	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.17253876953688402	(*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64))
accuracy	0.19140625	(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
accuracy	0.234375	(*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) (-.f64 x #s(literal 1/3 binary64)))
accuracy	13.29229406988954	(/.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64))) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) (-.f64 x #s(literal 1/3 binary64))))

Samples

29.0ms	211×	0	valid
10.0ms	24×	2	valid
9.0ms	20×	1	valid
1.0ms	1×	5	exit

Compiler

Compiled 104 to 19 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 12.0ms (32.1% of total)

ival-mult: 10.0ms (26.7% of total)

const: 9.0ms (24.1% of total)

ival-add: 3.0ms (8% of total)

adjust: 2.0ms (5.3% of total)

ival-sub: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

-27.2MiB live, 11.3MiB allocated

Counts

9 → 47

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify136.0ms (2.9%)

Memory

22.0MiB live, 151.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	387
1	415	378
2	1005	365
3	2864	323
4	7234	323
0	8118	302

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

Calls

Call 1

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

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

rewrite214.0ms (4.5%)

Memory

-8.9MiB live, 185.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	86
0	27	94
1	114	86
2	1038	70
0	8644	65

Stop Event

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

Counts

9 → 902

Calls

Call 1

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

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

eval129.0ms (2.7%)

Memory: 0.5MiB live, 188.5MiB allocated
Compiler: Compiled 23 626 to 2 503 computations (89.4% saved)

prune14.0ms (0.3%)

Memory

11.2MiB live, 49.4MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	800	3	803
Fresh	0	0	0
Picked	2	0	2
Done	1	3	4
Total	803	6	809

Accuracy

100.0%

Counts

809 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
▶	79.4%	(/.f64 (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
▶	79.2%	(/.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64))) #s(approx ( (/ (- x 1/3) x) (- x 1/3)) (-.f64 x (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -2/3 binary64)))))
✓	79.5%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	51.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 72 to 51 computations (29.2% saved)

simplify116.0ms (2.5%)

Memory

14.1MiB live, 168.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	157
0	49	157
1	82	157
2	116	151
3	219	149
4	395	145
5	1117	145
6	3462	145
7	7545	145
0	8296	145

Stop Event

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

Calls

Call 1

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

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

localize482.0ms (10.2%)

Memory

-36.4MiB live, 176.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.03125	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
accuracy	0.19921875	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.0	(fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.08203125	(fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64))
accuracy	13.149384060121097	(/.f64 (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
accuracy	0.17253876953688402	(*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64))
accuracy	0.19140625	(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
accuracy	0.390625	(/.f64 #s(literal -1/9 binary64) x)
accuracy	13.29229406988954	(/.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64))) #s(approx ( (/ (- x 1/3) x) (- x 1/3)) (-.f64 x (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -2/3 binary64)))))

Samples

335.0ms	24×	2	valid
114.0ms	212×	0	valid
9.0ms	20×	1	valid

Compiler

Compiled 153 to 31 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 442.0ms

const: 333.0ms (75.3% of total)

ival-div: 61.0ms (13.8% of total)

ival-mult: 34.0ms (7.7% of total)

ival-add: 6.0ms (1.4% of total)

ival-sub: 4.0ms (0.9% of total)

adjust: 3.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

13 → 47

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify148.0ms (3.1%)

Memory

22.0MiB live, 136.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	357
1	372	352
2	900	339
3	2518	315
4	6453	313
0	8086	292

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

Calls

Call 1

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

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

rewrite643.0ms (13.6%)

Memory

-15.5MiB live, 187.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	108
0	49	108
1	224	106
2	1693	106
0	8093	106

Stop Event

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

Counts

13 → 541

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(.f64 (.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(pow.f64 (/.f64 x (*.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal -1/9 binary64) (/.f64 x (-.f64 x #s(literal 1/3 binary64))))
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(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (-.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/729 binary64) (pow.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal -3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))) (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (*.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x))))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (*.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x))))))
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(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))) (.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x))) (pow.f64 (.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x (*.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))))
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(/.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x))
(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))))
(neg.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -27 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/9 binary64) x)
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 #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 x #s(literal -1 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(*.f64 (pow.f64 (/.f64 x (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 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 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 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/3 binary64) x))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1/3 binary64) x) x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (*.f64 x (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/3 binary64) x) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) x))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (*.f64 x (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 x #s(literal 1/3 binary64)) x)
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1/3 binary64)) x))
(neg.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))))
(-.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (.f64 x (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 x #s(literal 1/3 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) x) (/.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) x)))

eval111.0ms (2.3%)

Memory: -17.5MiB live, 190.6MiB allocated
Compiler: Compiled 20 796 to 2 197 computations (89.4% saved)

prune21.0ms (0.4%)

Memory

15.2MiB live, 54.3MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	638	2	640
Fresh	0	0	0
Picked	3	0	3
Done	0	3	3
Total	641	5	646

Accuracy

100.0%

Counts

646 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.5%	(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
✓	79.5%	(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
	79.4%	(.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
✓	51.0%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 226 to 97 computations (57.1% saved)

regimes10.0ms (0.2%)

Memory

-18.8MiB live, 19.5MiB allocated

Counts

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

simplify84.0ms (1.8%)

Memory

1.0MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	14	8
2	18	8
3	21	8
4	23	8
5	27	8
6	31	8
7	46	8
8	123	8
9	3358	8
10	6994	8

Stop Event

1×	node limit

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))

soundness123.0ms (2.6%)

Memory

-14.4MiB live, 64.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess15.0ms (0.3%)

Memory: 31.5MiB live, 31.5MiB 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%)

sample819.0ms (17.3%)

explain53.0ms (1.1%)

preprocess13.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize32.0ms (0.7%)

series1.0ms (0%)

simplify4.0ms (0.1%)

rewrite170.0ms (3.6%)

eval33.0ms (0.7%)

prune28.0ms (0.6%)

simplify246.0ms (5.2%)

localize140.0ms (3%)

series51.0ms (1.1%)

simplify120.0ms (2.5%)

rewrite249.0ms (5.3%)

eval179.0ms (3.8%)

prune31.0ms (0.7%)

simplify227.0ms (4.8%)

localize65.0ms (1.4%)

series8.0ms (0.2%)

simplify136.0ms (2.9%)

rewrite214.0ms (4.5%)

eval129.0ms (2.7%)

prune14.0ms (0.3%)

simplify116.0ms (2.5%)

localize482.0ms (10.2%)

series8.0ms (0.2%)

simplify148.0ms (3.1%)

rewrite643.0ms (13.6%)

eval111.0ms (2.3%)

prune21.0ms (0.4%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

simplify84.0ms (1.8%)

soundness123.0ms (2.6%)

preprocess15.0ms (0.3%)

end0.0ms (0%)

Profiling