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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample475.0ms (15%)

Memory

1.4MiB live, 920.8MiB allocated

Samples

265.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 77.0ms (60.2% of total)

ival-add: 36.0ms (28.1% of total)

exact: 7.0ms (5.5% of total)

ival-true: 5.0ms (3.9% of total)

ival-assert: 4.0ms (3.1% of total)

Bogosity

explain57.0ms (1.8%)

Memory

25.3MiB live, 62.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

17.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (55.2% of total)

ival-add: 2.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess18.0ms (0.6%)

Memory

-12.6MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`associate--r+`
12×	`sub-neg`
10×	`distribute-lft-neg-in`
10×	`associate-+l-`
10×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	20	6
2	42	6
3	74	6
4	96	6
5	106	6
0	5	3
0	8	3
1	11	3
0	11	3

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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))

Rules

4×	`lower-+.f32`
2×	`lift-+.f64`
2×	`lift-/.f64`
2×	`lower-+.f64`
2×	`1-exp`

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)

localize12.0ms (0.4%)

Memory

19.4MiB live, 19.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

8.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (58% of total)

ival-add: 1.0ms (29% 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

1.5MiB live, 1.5MiB allocated

Counts

2 → 12

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())

#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())

Outputs
#s(alt 1/3 (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())

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)))

simplify9.0ms (0.3%)

Memory

-27.7MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`lower-*.f64`
36×	`lower-*.f32`
16×	`lower-/.f32`
16×	`associate-r`
16×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	22	30
2	37	30
3	77	30
4	77	30
5	78	30
6	80	30
7	80	30
0	80	30

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

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

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

rewrite174.0ms (5.5%)

Memory

-1.3MiB live, 239.1MiB allocated

Rules

8 708×	`lower-fma.f64`
8 708×	`lower-fma.f32`
5 116×	`lower-*.f64`
5 116×	`lower-*.f32`
3 868×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	25	4
2	126	4
3	957	4
0	8643	4

Stop Event

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

Counts

2 → 265

Calls

Call 1

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

Outputs
#s(literal 1/3 binary64)
(.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 (+.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal -1/9 binary64) (.f64 x (-.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))))
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(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))))))))
(-.f64 (/.f64 (.f64 x (.f64 x (-.f64 x #s(literal 1/3 binary64)))) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/81 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.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 #s(literal 1/729 binary64) (.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1/729 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (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 #s(literal 1/729 binary64) (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)) (-.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 1/729 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 -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)))
(-.f64 x #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))))
(+.f64 (.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 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 (.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)

eval42.0ms (1.3%)

Memory: 15.9MiB live, 52.9MiB allocated
Compiler: Compiled 6 229 to 631 computations (89.9% saved)

prune80.0ms (2.5%)

Memory

-11.4MiB live, 117.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	271	4	275
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	272	4	276

Accuracy

100.0%

Counts

276 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
▶	65.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	47.6%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 43 to 25 computations (41.9% saved)

simplify154.0ms (4.9%)

Memory

8.0MiB live, 235.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
cost-diff	192	(-.f64 (.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	1536	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
cost-diff	0	(fma.f64 x x #s(literal 1/9 binary64))
cost-diff	1088	(/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
cost-diff	0	(-.f64 x #s(literal -1/3 binary64))
cost-diff	0	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Rules

18 470×	`lower-fma.f32`
18 468×	`lower-fma.f64`
4 304×	`lower-*.f32`
4 294×	`lower-*.f64`
2 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	126
0	34	114
1	65	106
2	207	92
3	947	90
4	3719	90
0	8076	85

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

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

localize59.0ms (1.9%)

Memory

-1.5MiB live, 85.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))
accuracy	0.078125	(.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	0.1640625	(.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	22.011262881006353	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))))
accuracy	0.01171875	(-.f64 x #s(literal -1/3 binary64))
accuracy	0.0546875	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
accuracy	0.0625	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))))
accuracy	22.07220723260753	(/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))
accuracy	0.01171875	(-.f64 x #s(literal -1/3 binary64))
accuracy	33.308797663556625	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Samples

41.0ms	246×	0	valid
2.0ms	7×	1	valid
1.0ms	2×	2	valid
1.0ms	1×	5	exit

Compiler

Compiled 134 to 23 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

const: 11.0ms (33.9% of total)

ival-mult: 8.0ms (24.7% of total)

ival-div: 6.0ms (18.5% of total)

ival-sub: 3.0ms (9.2% of total)

ival-add: 2.0ms (6.2% of total)

adjust: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) (patch #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 1/9 binary64)) (patch (fma.f64 x x #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())

Outputs
#s(alt 1/3 (taylor 0 x) (#s(alt #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) (patch #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) (patch #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) (patch #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) (patch #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 27 x) 9))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1/9 binary64)) (patch (fma.f64 x x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1/9 binary64)) (patch (fma.f64 x x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1/9 binary64)) (patch (fma.f64 x x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1/9 binary64)) (patch (fma.f64 x x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/27 (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* 1/9 x)) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* x (+ 1/9 (* 1/3 x)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/27 (* x (+ 1/9 (* x (+ 1/3 x))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (- (* -3 x) 1))) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* x (- (* x (- (* 9 x) 3)) 1))) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 3) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 3) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 9 x) 3) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 9 x) 3)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 9 x) 3)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 9 x) 3)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1/9 binary64)) (patch (fma.f64 x x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1/9 binary64)) (patch (fma.f64 x x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1/9 binary64)) (patch (fma.f64 x x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1/9 binary64)) (patch (fma.f64 x x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (patch (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 3)) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 2))) 9))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/3 (/ 1 x))) x)) 3) x)) 9))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) (patch (-.f64 (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (-.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 3 (/ 1 x)) 9))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9 (* 6 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 9 (* -1 (/ (- 6 (/ 1 x)) x)))) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify143.0ms (4.5%)

Memory

17.6MiB live, 170.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 342×	`lower-fma.f64`
11 342×	`lower-fma.f32`
3 732×	`lower-*.f64`
3 732×	`lower-*.f32`
2 774×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	771
1	477	760
2	1305	728
3	4767	712
0	8174	648

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 124

Calls

Call 1

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

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

rewrite333.0ms (10.5%)

Memory

-4.7MiB live, 316.0MiB allocated

Rules

5 712×	`lower-fma.f32`
5 710×	`lower-fma.f64`
4 796×	`lower-/.f32`
4 790×	`lower-/.f64`
4 612×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	107
0	34	95
1	137	83
2	1111	75
0	8949	71

Stop Event

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

Counts

11 → 984

Calls

Call 1

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

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

eval246.0ms (7.8%)

Memory: 1.1MiB live, 302.0MiB allocated
Compiler: Compiled 35 251 to 3 383 computations (90.4% saved)

prune154.0ms (4.9%)

Memory

-6.7MiB live, 334.9MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1 345	2	1 347
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 347	4	1 351

Accuracy

100.0%

Counts

1 351 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))))
▶	47.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	47.6%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 22 to 22 computations (0% saved)

simplify9.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

254×	`lower-fma.f32`
248×	`lower-fma.f64`
156×	`lower-+.f64`
156×	`lower-+.f32`
98×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	114
0	27	114
1	42	74
2	66	74
3	111	74
4	196	74
5	242	74
6	259	74
7	265	74
0	265	74

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (2.6%)

Memory

1.2MiB live, 77.9MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))))
accuracy	33.558736678665824	#s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
accuracy	33.72143390581511	#s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))

Samples

71.0ms	246×	0	valid
1.0ms	7×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sub: 39.0ms (60.7% of total)

ival-mult: 9.0ms (14% of total)

const: 7.0ms (10.9% of total)

ival-add: 5.0ms (7.8% of total)

ival-div: 3.0ms (4.7% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series7.0ms (0.2%)

Memory

-33.5MiB live, 9.1MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 27 x) 9))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 27 x) 9))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 27 x) 9))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 27 x) 9))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt -9 (taylor 0 x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 27 x) 9) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 27 x) 9) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 27 x) 9) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 9)) (taylor inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 27 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 27 (* 9 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 27 (/ 3 (pow x 2))) (* 9 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 27 (/ 3 (pow x 2))) (* 9 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 27 (* 9 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 27 (* 9 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 27 (* 9 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) (patch #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 27 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 27 (* 9 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 27 (* -1 (/ (- 9 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 27 (* -1 (/ (- 9 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 9 (/ 1 x)) 27))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 9 (/ 1 x)) 27))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 9 (/ 1 x)) 27))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (patch (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify159.0ms (5%)

Memory

33.0MiB live, 145.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 002×	`lower-fma.f64`
10 002×	`lower-fma.f32`
2 686×	`lower-*.f64`
2 686×	`lower-*.f32`
2 164×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	476
1	250	460
2	600	456
3	1792	448
4	4345	448
5	7176	448
0	8105	403

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

Calls

Call 1

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

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

rewrite598.0ms (18.9%)

Memory

-34.4MiB live, 179.4MiB allocated

Rules

6 448×	`lower-fma.f32`
6 442×	`lower-fma.f64`
5 768×	`lower-*.f64`
5 768×	`lower-*.f32`
4 140×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	105
0	27	105
1	127	65
2	858	65
0	8517	65

Stop Event

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

Counts

7 → 221

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (.f64 (pow.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(.f64 (pow.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (neg.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
(pow.f64 (pow.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64))
#s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(/.f64 (neg.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(/.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ (+ ( x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal -9 binary64) x))))
(.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -27 binary64) x))))))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -9 binary64)) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -27 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64) #s(literal 27 binary64)) (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -27 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) (.f64 (/.f64 (.f64 #s(literal 81 binary64) (*.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -9 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 #s(literal -27 binary64) x))))))
(/.f64 (.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 81 binary64) (.f64 #s(literal 729 binary64) (.f64 x x)))) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64) #s(literal -27 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 #s(literal -27 binary64) x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -387420489 binary64) #s(literal 19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 729 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -19683 binary64)))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -27 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -9 binary64) x)))
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(/.f64 (fma.f64 #s(literal 729 binary64) (*.f64 x x) #s(literal -81 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)))
(/.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64)) (+.f64 #s(literal 81 binary64) (.f64 x (-.f64 (.f64 #s(literal 729 binary64) x) #s(literal -243 binary64)))))
(/.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64)) (fma.f64 #s(literal 729 binary64) (.f64 x x) (-.f64 #s(literal 81 binary64) (.f64 #s(literal -243 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -9 binary64) (.f64 #s(literal 27 binary64) x)) (-.f64 #s(literal 81 binary64) (.f64 #s(literal 729 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 81 binary64) (.f64 x (-.f64 (.f64 #s(literal 729 binary64) x) #s(literal -243 binary64)))) (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 729 binary64) (*.f64 x x) #s(literal -81 binary64))) (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64))) (fma.f64 #s(literal 729 binary64) (.f64 x x) (-.f64 #s(literal 81 binary64) (.f64 #s(literal -243 binary64) x)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 729 binary64) (*.f64 x x) #s(literal -81 binary64)) (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -729 binary64)) (neg.f64 (fma.f64 #s(literal 729 binary64) (.f64 x x) (-.f64 #s(literal 81 binary64) (.f64 #s(literal -243 binary64) x))))))
(fma.f64 (neg.f64 x) #s(literal -27 binary64) #s(literal -9 binary64))
(fma.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 3 binary64) #s(literal -9 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal -9 binary64) x) #s(literal -9 binary64))
(fma.f64 (.f64 #s(literal 729 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -81 binary64) (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64)))))
(fma.f64 #s(literal 9 binary64) (*.f64 x #s(literal 3 binary64)) #s(literal -9 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -27 binary64) x) #s(literal -9 binary64))
(fma.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -3 binary64) #s(literal -9 binary64))
(fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) x) #s(literal -9 binary64))
(fma.f64 #s(literal -9 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -9 binary64))
(fma.f64 x #s(literal 27 binary64) #s(literal -9 binary64))
(-.f64 (/.f64 #s(literal 81 binary64) (-.f64 #s(literal -9 binary64) (.f64 #s(literal 27 binary64) x))) (/.f64 (.f64 #s(literal 729 binary64) (.f64 x x)) (-.f64 #s(literal -9 binary64) (.f64 #s(literal 27 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 729 binary64) (.f64 x x)) (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64))) (/.f64 #s(literal -81 binary64) (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 729 binary64) (.f64 x x)) (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal -81 binary64) (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64)))))
(+.f64 (*.f64 #s(literal 27 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal -9 binary64) (*.f64 #s(literal 27 binary64) x))

eval39.0ms (1.2%)

Memory: 29.3MiB live, 65.7MiB allocated
Compiler: Compiled 5 083 to 984 computations (80.6% saved)

prune39.0ms (1.2%)

Memory

3.1MiB live, 75.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	301	0	301
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	301	4	305

Accuracy

100.0%

Counts

305 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64))))
✓	47.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x x) 1/9) (* (+ (* x x) 1/9) (- x -1/3))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	47.6%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 87 to 53 computations (39.1% saved)

regimes42.0ms (1.3%)

Memory

-38.8MiB live, 12.5MiB allocated

Counts

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

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

Calls

2 calls:

39.0ms	x
3.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB 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
47.6%	1	`x`
47.6%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify30.0ms (0.9%)

Memory

18.1MiB live, 55.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`-commutative-binary64-.f64`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness120.0ms (3.8%)

Memory

-8.5MiB live, 106.4MiB allocated

Rules

8 708×	`lower-fma.f64`
8 708×	`lower-fma.f32`
5 116×	`lower-*.f64`
5 116×	`lower-*.f32`
3 868×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	25	4
2	126	4
3	957	4
0	8643	4
0	8	30
1	22	30
2	37	30
3	77	30
4	77	30
5	78	30
6	80	30
7	80	30
0	80	30

Stop Event

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

Compiler

Compiled 14 to 14 computations (0% saved)

preprocess58.0ms (1.8%)

Memory: 8.3MiB live, 46.9MiB allocated
Compiler: Compiled 20 to 20 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample475.0ms (15%)

explain57.0ms (1.8%)

preprocess18.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize12.0ms (0.4%)

series1.0ms (0%)

simplify9.0ms (0.3%)

rewrite174.0ms (5.5%)

eval42.0ms (1.3%)

prune80.0ms (2.5%)

simplify154.0ms (4.9%)

localize59.0ms (1.9%)

series10.0ms (0.3%)

simplify143.0ms (4.5%)

rewrite333.0ms (10.5%)

eval246.0ms (7.8%)

prune154.0ms (4.9%)

simplify9.0ms (0.3%)

localize84.0ms (2.6%)

series7.0ms (0.2%)

simplify159.0ms (5%)

rewrite598.0ms (18.9%)

eval39.0ms (1.2%)

prune39.0ms (1.2%)

regimes42.0ms (1.3%)

regimes3.0ms (0.1%)

simplify30.0ms (0.9%)

soundness120.0ms (3.8%)

preprocess58.0ms (1.8%)

end0.0ms (0%)

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