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

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.5MiB 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)

sample811.0ms (14.6%)

Memory

9.1MiB live, 807.0MiB allocated

Samples

579.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-div: 108.0ms (65.1% of total)

ival-add: 40.0ms (24.1% of total)

exact: 8.0ms (4.8% of total)

ival-true: 6.0ms (3.6% of total)

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

Bogosity

explain81.0ms (1.5%)

Memory

-20.2MiB live, 54.8MiB 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 42 to 24 computations (42.9% saved)

Precisions

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

ival-div: 4.0ms (52.7% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB 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

0.6MiB live, 0.6MiB 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%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

-29.7MiB live, 15.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (53% of total)

ival-add: 1.0ms (26.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 3

Calls

Call 1

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

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

rewrite1.1s (20%)

Memory

17.8MiB live, 246.8MiB 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)

eval32.0ms (0.6%)

Memory: -0.6MiB live, 78.7MiB allocated
Compiler: Compiled 6 207 to 635 computations (89.8% saved)

prune4.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

268 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
▶	71.0%	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	56.7%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 50 to 35 computations (30% saved)

simplify267.0ms (4.8%)

Memory

-51.0MiB live, 215.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
cost-diff	512	(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
cost-diff	1024	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	(-.f64 x #s(literal -1/3 binary64))
cost-diff	0	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	141
0	44	141
1	86	141
2	233	126
3	726	125
4	2224	125
5	6265	125
0	8403	122

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 x x)
x
(-.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
#s(literal -1/9 binary64)
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/729 binary64)
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(*.f64 x x)
(fma.f64 x x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
#s(literal 1/81 binary64)
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

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

localize91.0ms (1.6%)

Memory

-5.3MiB live, 111.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.07421875	(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
accuracy	0.5546875	(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	23.41161509268484	(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.03972626953688403	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.1328125	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.15234375	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
accuracy	18.178671771052652	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	0.01171875	(-.f64 x #s(literal -1/3 binary64))
accuracy	27.714274956971487	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Samples

62.0ms

256×

valid

Compiler

Compiled 293 to 58 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

const: 18.0ms (37.3% of total)

ival-mult: 9.0ms (18.7% of total)

ival-sub: 6.0ms (12.4% of total)

ival-pow: 6.0ms (12.4% of total)

ival-div: 5.0ms (10.4% of total)

ival-add: 4.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

13 → 54

Calls

Call 1

Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
(pow.f64 x #s(literal 6 binary64))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 x #s(literal 1/3 binary64))

Outputs
1/3
(+ 1/3 x)
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
1/27
(+ 1/27 (* -1/9 x))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1 x)))
-1/729
(- (pow x 6) 1/729)
(pow x 6)
-1/243
(- (* 1/81 x) 1/243)
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
1/81
(+ 1/81 (* 1/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
-1/9
(- (* 2/3 x) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
-1/3
(- x 1/3)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(pow x 5)
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ x (/ 1 3)) (- x -1/3) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) -1/9) (* (* x x) (- 1/3 x)) (- (pow x 6) 1/729) (pow x 6) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (* (- x 1/3) (- 1/3 x)) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- x 1/3))
3.0ms	x	@	inf	((+ x (/ 1 3)) (- x -1/3) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) -1/9) (* (* x x) (- 1/3 x)) (- (pow x 6) 1/729) (pow x 6) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (* (- x 1/3) (- 1/3 x)) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- x 1/3))
2.0ms	x	@	0	((+ x (/ 1 3)) (- x -1/3) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) -1/9) (* (* x x) (- 1/3 x)) (- (pow x 6) 1/729) (pow x 6) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (* (- x 1/3) (- 1/3 x)) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- x 1/3))

Time

Variable

Point

Expression

4.0ms

-inf

((+ x (/ 1 3)) (- x -1/3) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) -1/9) (* (* x x) (- 1/3 x)) (- (pow x 6) 1/729) (pow x 6) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (* (- x 1/3) (- 1/3 x)) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- x 1/3))

3.0ms

inf

((+ x (/ 1 3)) (- x -1/3) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) -1/9) (* (* x x) (- 1/3 x)) (- (pow x 6) 1/729) (pow x 6) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (* (- x 1/3) (- 1/3 x)) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- x 1/3))

2.0ms

((+ x (/ 1 3)) (- x -1/3) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) -1/9) (* (* x x) (- 1/3 x)) (- (pow x 6) 1/729) (pow x 6) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (* (- x 1/3) (- 1/3 x)) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- x 1/3))

simplify164.0ms (3%)

Memory

-6.9MiB live, 148.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	411
1	430	398
2	1199	386
3	3912	376
0	8319	355

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
1/27
(+ 1/27 (* -1/9 x))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1 x)))
-1/729
(- (pow x 6) 1/729)
(pow x 6)
-1/243
(- (* 1/81 x) 1/243)
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
1/81
(+ 1/81 (* 1/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
-1/9
(- (* 2/3 x) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
-1/3
(- x 1/3)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* -1/9 x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(pow x 5)
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
-1/27
#s(literal -1/27 binary64)
(- (* 1/9 x) 1/27)
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
(fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* -1/9 x))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* -1 x)))
(.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) x) x)
-1/729
#s(literal -1/729 binary64)
(- (pow x 6) 1/729)
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* 1/81 x) 1/243)
(fma.f64 #s(literal 1/81 binary64) x #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(fma.f64 (fma.f64 #s(literal -1/27 binary64) x #s(literal 1/81 binary64)) x #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)) x #s(literal 1/81 binary64)) x #s(literal -1/243 binary64))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* 1/9 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))
-1/9
#s(literal -1/9 binary64)
(- (* 2/3 x) 1/9)
(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))
(- (* x (+ 2/3 (* -1 x))) 1/9)
(fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) x) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/27 (/ 1 x)) 1/9))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/9 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/3 binary64)) x)) x) x)
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) x) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 1/9 (* 1/27 (/ 1 x)))))
(fma.f64 #s(literal -1/9 binary64) x #s(literal 1/27 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/3 binary64)) x)) x) x)
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))

rewrite196.0ms (3.5%)

Memory

9.2MiB live, 235.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	113
0	44	113
1	187	113
2	1481	112
0	8147	109

Stop Event

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

Counts

13 → 823

Calls

Call 1

Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
(pow.f64 x #s(literal 6 binary64))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 x #s(literal 1/3 binary64))

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

eval160.0ms (2.9%)

Memory: 2.7MiB live, 284.1MiB allocated
Compiler: Compiled 33 513 to 3 057 computations (90.9% saved)

prune14.0ms (0.3%)

Memory

16.9MiB live, 55.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	929	3	932
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	931	5	936

Accuracy

100.0%

Counts

936 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.7%	(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
▶	57.2%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
▶	56.9%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	56.7%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 86 to 63 computations (26.7% saved)

simplify383.0ms (6.9%)

Memory

-9.6MiB live, 146.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64))
cost-diff	0	(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	208
0	49	208
1	89	208
2	188	192
3	456	192
4	1116	192
5	2622	192
6	5160	192
7	7319	192
0	8111	184

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
#s(literal 1/9 binary64)
x
#s(literal -1/27 binary64)
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(-.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
x
#s(literal 1/9 binary64)
#s(literal -1/27 binary64)
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
#s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64))
#s(literal -1/729 binary64)
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(*.f64 x x)
x
(fma.f64 x x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
#s(literal 1/81 binary64)
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

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

localize153.0ms (2.7%)

Memory

6.5MiB live, 128.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
accuracy	0.5546875	(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	23.41161509268484	(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	27.54909526886543	#s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
accuracy	0.171875	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
accuracy	18.178671771052652	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	19.580508635104625	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64)))
accuracy	0.03972626953688403	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.1484375	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
accuracy	18.178671771052652	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	27.94794240682463	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))

Samples

134.0ms

256×

valid

Compiler

Compiled 399 to 66 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 45.0ms (46.3% of total)

const: 34.0ms (35% of total)

ival-add: 5.0ms (5.1% of total)

ival-sub: 5.0ms (5.1% of total)

ival-pow: 4.0ms (4.1% of total)

ival-div: 3.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

12 → 54

Calls

Call 1

Inputs
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
#s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))

Outputs
-1/9
(- (* 2/3 x) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
1/3
(+ 1/3 x)
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
-1/729
(- (pow x 6) 1/729)
-1/243
(- (* 1/81 x) 1/243)
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
1/81
(+ 1/81 (* 1/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
1/9
(+ 1/9 (* 1/3 x))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* 1/9 x)
(* x (- 1/9 (* 1/27 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (* 1/9 (/ 1 x))) (/ 1/27 (pow x 2))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(pow x 5)
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(* -1 (* x (- (* 1/27 (/ 1 x)) 1/9)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((* (- x 1/3) (- 1/3 x)) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (+ (* 1/9 x) -1/27) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (+ (* (+ (* 1/3 x) 1/9) x) -1/27) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (+ (* 1/3 x) 1/9))

2.0ms

inf

((* (- x 1/3) (- 1/3 x)) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (+ (* 1/9 x) -1/27) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (+ (* (+ (* 1/3 x) 1/9) x) -1/27) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (+ (* 1/3 x) 1/9))

1.0ms

((* (- x 1/3) (- 1/3 x)) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (+ (* 1/9 x) -1/27) (/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (+ (* (+ (* 1/3 x) 1/9) x) -1/27) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (+ (* 1/3 x) 1/9))

simplify185.0ms (3.3%)

Memory

-33.7MiB live, 129.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	412
1	438	400
2	1254	382
3	4079	364
0	8414	331

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 53

Calls

Call 1

Inputs
-1/9
(- (* 2/3 x) 1/9)
(- (* x (+ 2/3 (* -1 x))) 1/9)
1/3
(+ 1/3 x)
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
-1/729
(- (pow x 6) 1/729)
-1/243
(- (* 1/81 x) 1/243)
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
1/81
(+ 1/81 (* 1/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
1/9
(+ 1/9 (* 1/3 x))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* 1/9 x)
(* x (- 1/9 (* 1/27 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (* 1/9 (/ 1 x))) (/ 1/27 (pow x 2))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(pow x 5)
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(* -1 (* x (- (* 1/27 (/ 1 x)) 1/9)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))

Outputs
-1/9
#s(literal -1/9 binary64)
(- (* 2/3 x) 1/9)
(fma.f64 #s(literal 2/3 binary64) x #s(literal -1/9 binary64))
(- (* x (+ 2/3 (* -1 x))) 1/9)
(fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
-1/27
#s(literal -1/27 binary64)
(- (* 1/9 x) 1/27)
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
(fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
-1/729
#s(literal -1/729 binary64)
(- (pow x 6) 1/729)
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* 1/81 x) 1/243)
(fma.f64 #s(literal 1/81 binary64) x #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(fma.f64 (fma.f64 #s(literal -1/27 binary64) x #s(literal 1/81 binary64)) x #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)) x #s(literal 1/81 binary64)) x #s(literal -1/243 binary64))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* 1/9 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 2/3 (/ 1 x)) 1))
(*.f64 (-.f64 #s(literal 2/3 binary64) x) x)
(* (pow x 2) (- (* 2/3 (/ 1 x)) (+ 1 (/ 1/9 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x (*.f64 (neg.f64 x) x))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(*.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(* 1/9 x)
(*.f64 #s(literal 1/9 binary64) x)
(* x (- 1/9 (* 1/27 (/ 1 x))))
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/9 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x)
(* (pow x 2) (- (+ 1/3 (* 1/9 (/ 1 x))) (/ 1/27 (pow x 2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/9 binary64) x)))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1))
(fma.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x (*.f64 (neg.f64 x) x))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(* -1 (* x (- (* 1/27 (/ 1 x)) 1/9)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
(* (pow x 2) (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite221.0ms (4%)

Memory

38.6MiB live, 226.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	166
0	49	166
1	217	166
2	1612	163
0	8213	159

Stop Event

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

Counts

12 → 487

Calls

Call 1

Inputs
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
#s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))

Outputs
(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1/3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal -1/9 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x (-.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))) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
(.f64 (.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 1/3 binary64))) (.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))) (.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))))) (-.f64 (.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 1/3 binary64))) (.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (neg.f64 x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) (neg.f64 x)))) (-.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)) (.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)))) (-.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) x) (.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64)) (.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64)))) (-.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) x) (.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 1/3 binary64))) (.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))) (.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)))) (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 1/3 binary64))) (.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6561 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 #s(literal 1/81 binary64) (.f64 x x))))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64)) (+.f64 #s(literal 1/6561 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 #s(literal 1/81 binary64) (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/531441 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6561 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 x x)) (pow.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) #s(literal 1/81 binary64))
(fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64)) (.f64 x x)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 #s(literal 1/9 binary64) x) x)) #s(literal -1 binary64)) #s(literal 1/81 binary64))
(fma.f64 (.f64 (.f64 x x) (-.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)) #s(literal 1/81 binary64))
(fma.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 #s(literal 1/9 binary64) x) x)) #s(literal -1 binary64)) #s(literal 1/81 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 1/9 binary64) x) x))) #s(literal 1/81 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 1/9 binary64) x) x))))) #s(literal 1/81 binary64))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) x #s(literal 1/81 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x #s(literal 1/81 binary64)))
(fma.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/6561 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal -1/81 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))
(fma.f64 (.f64 x x) (.f64 x x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x #s(literal 1/81 binary64)))
(fma.f64 x (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) #s(literal 1/81 binary64))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x #s(literal 1/81 binary64)))
(-.f64 (/.f64 #s(literal 1/6561 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) x))) (/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) x))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1/6561 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal -1/81 binary64))))
(+.f64 (+.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/9 binary64) x) x))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 x x) #s(literal -1/81 binary64))) (neg.f64 (/.f64 #s(literal 1/6561 binary64) (fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal -1/81 binary64)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x #s(literal 1/81 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) x) #s(literal 1/81 binary64))
(+.f64 #s(literal 1/81 binary64) (.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) x) x))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 1/27 binary64)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x #s(literal -1/81 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (.f64 x #s(literal 1/27 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 1/27 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/9 binary64) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) (.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (.f64 (/.f64 (.f64 (*.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x #s(literal -1/81 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (.f64 x #s(literal 1/27 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/9 binary64) x) x))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (*.f64 x #s(literal 1/27 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (.f64 x #s(literal 1/27 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (*.f64 x #s(literal 1/27 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 #s(literal 1/9 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (*.f64 x #s(literal 1/27 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (.f64 x #s(literal 1/27 binary64)))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/9 binary64) x) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x))) (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/9 binary64) x) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))

eval85.0ms (1.5%)

Memory: -26.8MiB live, 179.5MiB allocated
Compiler: Compiled 23 737 to 1 955 computations (91.8% saved)

prune12.0ms (0.2%)

Memory

-0.3MiB live, 38.5MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	625	2	627
Fresh	0	0	0
Picked	3	0	3
Done	0	2	2
Total	628	4	632

Accuracy

100.0%

Counts

632 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 #s(approx (+ ( (* x x) (+ (* x x) 1/9)) 1/81) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
▶	57.3%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	56.7%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 71 to 51 computations (28.2% saved)

simplify240.0ms (4.3%)

Memory

13.9MiB live, 90.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* (* x x) (+ (* x x) 1/9)) 1/81) #s(literal 1/81 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* x x) (+ (* x x) 1/9)) 1/81) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64))
cost-diff	0	(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 #s(approx (+ ( (* x x) (+ (* x x) 1/9)) 1/81) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	166
0	45	166
1	82	166
2	176	158
3	382	158
4	737	158
5	1577	156
6	2963	156
7	4257	156
8	4708	156
9	4898	156
10	5114	156
11	5164	156
12	5201	156
13	5431	156
14	5534	156
15	5534	156
16	5534	156
17	5534	156
18	5550	156
0	5550	148

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize185.0ms (3.3%)

Memory

-18.3MiB live, 112.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.5546875	(.f64 #s(approx (+ ( (* x x) (+ (* x x) 1/9)) 1/81) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	23.41161509268484	(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 #s(approx (+ ( (* x x) (+ (* x x) 1/9)) 1/81) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	27.044470135369483	#s(approx (+ (* (* x x) (+ (* x x) 1/9)) 1/81) #s(literal 1/81 binary64))
accuracy	27.54909526886543	#s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
accuracy	0.171875	(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
accuracy	18.178671771052652	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))))
accuracy	19.580508635104625	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64)))

Samples

119.0ms

256×

valid

Compiler

Compiled 298 to 72 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 38.0ms (35.6% of total)

ival-pow: 32.0ms (30% of total)

const: 22.0ms (20.6% of total)

ival-sub: 6.0ms (5.6% of total)

ival-add: 5.0ms (4.7% of total)

ival-div: 3.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

8 → 44

Calls

Call 1

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

Outputs
1/3
(+ 1/3 x)
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
1/9
(+ 1/9 (* 1/3 x))
-1/729
(- (pow x 6) 1/729)
-1/243
(- (* 1/81 x) 1/243)
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
1/81
(+ 1/81 (* 1/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (* 1/9 (/ 1 x))) (/ 1/27 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(pow x 5)
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (+ (* (+ (* 1/3 x) 1/9) x) -1/27) (+ (* 1/3 x) 1/9) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81))

2.0ms

inf

((/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (+ (* (+ (* 1/3 x) 1/9) x) -1/27) (+ (* 1/3 x) 1/9) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81))

1.0ms

((/ (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (* (- x 1/3) (- 1/3 x))) (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (+ (* (+ (* 1/3 x) 1/9) x) -1/27) (+ (* 1/3 x) 1/9) (/ (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3))) (- (pow x 6) 1/729) (* (+ (* (* x x) (+ (* x x) 1/9)) 1/81) (- x 1/3)) (+ (* (* x x) (+ (* x x) 1/9)) 1/81))

simplify527.0ms (9.5%)

Memory

10.9MiB live, 167.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	342
1	378	331
2	1086	325
3	3572	307
4	7939	307
0	8748	278

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

Inputs
1/3
(+ 1/3 x)
-1/27
(- (* 1/9 x) 1/27)
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
1/9
(+ 1/9 (* 1/3 x))
-1/729
(- (pow x 6) 1/729)
-1/243
(- (* 1/81 x) 1/243)
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
1/81
(+ 1/81 (* 1/9 (pow x 2)))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/9 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (* 1/9 (/ 1 x))) (/ 1/27 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(pow x 6)
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(pow x 5)
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(pow x 4)
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
-1/27
#s(literal -1/27 binary64)
(- (* 1/9 x) 1/27)
(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
(- (* x (+ 1/9 (* 1/3 x))) 1/27)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27)
(fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
-1/729
#s(literal -1/729 binary64)
(- (pow x 6) 1/729)
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
-1/243
#s(literal -1/243 binary64)
(- (* 1/81 x) 1/243)
(fma.f64 #s(literal 1/81 binary64) x #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* -1/27 x))) 1/243)
(fma.f64 (fma.f64 #s(literal -1/27 binary64) x #s(literal 1/81 binary64)) x #s(literal -1/243 binary64))
(- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)) x #s(literal 1/81 binary64)) x #s(literal -1/243 binary64))
1/81
#s(literal 1/81 binary64)
(+ 1/81 (* 1/9 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/81 binary64))
(+ 1/81 (* (pow x 2) (+ 1/9 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 1/81 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) 1))
(*.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* (pow x 3) (- (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))) (+ 1 (* 1/27 (/ 1 (pow x 3))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/9 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x)
(* (pow x 2) (- (+ 1/3 (* 1/9 (/ 1 x))) (/ 1/27 (pow x 2))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (- 1 (* 1/3 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/9 binary64) x)))
(* -1 (* (pow x 3) (- 1 (* 1/3 (/ 1 x)))))
(.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) x)))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(* (pow x 2) (+ 1/3 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x))))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite188.0ms (3.4%)

Memory

21.8MiB live, 219.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	130
0	45	130
1	219	130
2	1594	130
0	8225	122

Stop Event

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

Counts

8 → 169

Calls

Call 1

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

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

eval41.0ms (0.7%)

Memory: -32.8MiB live, 53.7MiB allocated
Compiler: Compiled 8 200 to 753 computations (90.8% saved)

prune6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	198	4	202

Accuracy

100.0%

Counts

202 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.0%	(/.f64 #s(approx (- (pow x 6) 1/729) #s(literal -1/729 binary64)) (.f64 #s(approx (+ ( (* x x) (+ (* x x) 1/9)) 1/81) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64))))
✓	57.3%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x #s(literal -1/27 binary64))) #s(approx (* (- x 1/3) (- 1/3 x)) (fma.f64 (-.f64 #s(literal 2/3 binary64) x) x #s(literal -1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	56.7%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 263 to 120 computations (54.4% saved)

regimes7.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB 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
56.7%	1	`x`
56.7%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify134.0ms (2.4%)

Memory

-18.2MiB live, 53.3MiB 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))

soundness151.0ms (2.7%)

Memory

-10.5MiB live, 124.6MiB 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
0	8	8
1	22	8
2	37	8
3	77	8
4	77	8
5	78	8
6	80	8
7	80	8
0	80	8

Stop Event

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

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess40.0ms (0.7%)

Memory: -10.0MiB live, 25.7MiB 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%)

sample811.0ms (14.6%)

explain81.0ms (1.5%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize24.0ms (0.4%)

series1.0ms (0%)

simplify4.0ms (0.1%)

rewrite1.1s (20%)

eval32.0ms (0.6%)

prune4.0ms (0.1%)

simplify267.0ms (4.8%)

localize91.0ms (1.6%)

series11.0ms (0.2%)

simplify164.0ms (3%)

rewrite196.0ms (3.5%)

eval160.0ms (2.9%)

prune14.0ms (0.3%)

simplify383.0ms (6.9%)

localize153.0ms (2.7%)

series7.0ms (0.1%)

simplify185.0ms (3.3%)

rewrite221.0ms (4%)

eval85.0ms (1.5%)

prune12.0ms (0.2%)

simplify240.0ms (4.3%)

localize185.0ms (3.3%)

series6.0ms (0.1%)

simplify527.0ms (9.5%)

rewrite188.0ms (3.4%)

eval41.0ms (0.7%)

prune6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

simplify134.0ms (2.4%)

soundness151.0ms (2.7%)

preprocess40.0ms (0.7%)

end0.0ms (0%)

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