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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.3s (23%)

Memory

-0.2MiB live, 740.5MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-div: 83.0ms (56.9% of total)

ival-add: 47.0ms (32.2% of total)

exact: 7.0ms (4.8% of total)

ival-true: 6.0ms (4.1% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

explain51.0ms (0.9%)

Memory

5.9MiB live, 130.0MiB 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

20.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 6.0ms (64.7% of total)

ival-add: 2.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.3%)

Memory

-3.2MiB live, 35.8MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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

5.0MiB live, 5.0MiB 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)

localize13.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

8.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (52.5% of total)

ival-add: 1.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-49.7MiB 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
6.0ms	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)))

simplify5.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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))

rewrite220.0ms (3.8%)

Memory

16.5MiB live, 204.7MiB 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))) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) x (-.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)) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 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 (hypot.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 (.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 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (+.f64 (hypot.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 (.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 (/.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))) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 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))) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 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))) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 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))) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))))))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1/9 binary64)))
(+.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal 1/27 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)) #s(literal 1/27 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/3 binary64) x)

eval33.0ms (0.6%)

Memory: 16.7MiB live, 90.2MiB allocated
Compiler: Compiled 6 217 to 632 computations (89.8% saved)

prune9.0ms (0.1%)

Memory

-27.3MiB live, 23.4MiB 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
▶	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
▶	66.4%	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	47.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 38 to 24 computations (36.8% saved)

simplify173.0ms (3%)

Memory

8.0MiB live, 199.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
cost-diff	896	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
cost-diff	512	(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
cost-diff	1024	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	(-.f64 x #s(literal -1/3 binary64))
cost-diff	0	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Rules

8 242×	`lower-fma.f32`
8 240×	`lower-fma.f64`
2 544×	`lower-*.f32`
2 536×	`lower-*.f64`
2 168×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104
0	34	113
1	60	113
2	153	87
3	536	85
4	1671	85
5	7159	85
0	8316	81

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (2.8%)

Memory

41.8MiB live, 116.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.01171875	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.15234375	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.19140625	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.05078125	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.13900375976844204	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.1796875	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
accuracy	20.966203186348654	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	0.015625	(-.f64 x #s(literal -1/3 binary64))
accuracy	33.83185349912857	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Samples

45.0ms	215×	0	valid
9.0ms	26×	1	valid
8.0ms	15×	2	valid

Compiler

Compiled 107 to 23 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 18.0ms (36.9% of total)

const: 10.0ms (20.5% of total)

ival-mult: 9.0ms (18.4% of total)

ival-sub: 5.0ms (10.2% of total)

ival-add: 3.0ms (6.1% of total)

adjust: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (1%)

Memory

-34.5MiB live, 34.8MiB 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 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) #<representation:binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (patch (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())
#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) #<representation:binary64>) () ())
#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #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 -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<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 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) (patch (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt -1/27 (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (patch (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/9 x) 1/27) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (patch (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* x (+ 1/9 (* 1/3 x))) 1/27) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (patch (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* x (+ 1/9 (* x (+ 1/3 (* -1 x))))) 1/27) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (patch (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1/27 (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/27 (* -1/9 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/27 (* -1/9 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/27 (* -1/9 x)) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* -1 x))) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* -1 x))) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/3 (* -1 x))) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -3 x) (taylor 0 x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* -9 x) 3)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -27 x) 9)) 3)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #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 (- x 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 (- x 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 (- x 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 (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 #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 -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 (* x (+ 1 (* 3 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 (* x (+ 1 (* x (+ 3 (* 9 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (- (* 2/3 x) 1/9) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (- (* x (+ 2/3 (* -1 x))) 1/9) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (- (* x (+ 2/3 (* -1 x))) 1/9) (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt x (taylor inf 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 (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf 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 (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf 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 (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf 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 x (taylor inf x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal -1/3 binary64)) (patch (-.f64 x #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
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#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2/3 (/ 1 x)) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 2/3) x)) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

47.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

simplify229.0ms (4%)

Memory

11.1MiB live, 202.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 520×	`lower-fma.f64`
9 520×	`lower-fma.f32`
3 344×	`lower-*.f64`
3 344×	`lower-*.f32`
2 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	728
1	450	706
2	1165	694
3	3719	670
0	8143	642

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 122

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

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

rewrite264.0ms (4.6%)

Memory

-21.7MiB live, 289.3MiB allocated

Rules

5 762×	`lower-/.f32`
5 756×	`lower-/.f64`
4 520×	`lower-*.f32`
4 512×	`lower-*.f64`
4 398×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	86
0	34	95
1	136	77
2	1185	77
0	8443	75

Stop Event

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

Counts

11 → 1 003

Calls

Call 1

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

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

eval235.0ms (4.1%)

Memory: 27.1MiB live, 338.2MiB allocated
Compiler: Compiled 37 239 to 2 609 computations (93% saved)

prune63.0ms (1.1%)

Memory

9.0MiB live, 84.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 269	3	1 272
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 271	5	1 276

Accuracy

100.0%

Counts

1 276 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))))
▶	46.8%	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
▶	77.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	47.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 43 to 34 computations (20.9% saved)

simplify213.0ms (3.7%)

Memory

-7.4MiB live, 112.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))
cost-diff	192	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64)))
cost-diff	896	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
cost-diff	0	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
cost-diff	128	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
cost-diff	0	(-.f64 #s(literal 1/3 binary64) x)
cost-diff	128	(/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))

Rules

4 080×	`lower-fma.f32`
4 076×	`lower-fma.f64`
1 320×	`lower-*.f32`
1 314×	`lower-*.f64`
808×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	138
0	41	135
1	77	133
2	152	121
3	371	121
4	946	121
5	2136	121
6	3671	121
7	4648	121
8	5029	121
9	5082	121
10	5091	121
11	5091	121
12	5318	121
13	5368	121
14	5368	121
15	5384	121
0	5384	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize193.0ms (3.4%)

Memory

0.4MiB live, 199.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.04296875	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))
accuracy	0.15234375	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.3240592955277242	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64)))
accuracy	0.05078125	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x))
accuracy	0.1640625	(fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))
accuracy	20.966203186348654	(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
accuracy	34.46564098548087	#s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)))
accuracy	0.01171875	(-.f64 #s(literal 1/3 binary64) x)
accuracy	0.01171875	(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
accuracy	14.467408609527078	(/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))

Samples

97.0ms	18×	2	valid
64.0ms	209×	0	valid
12.0ms	29×	1	valid

Compiler

Compiled 132 to 27 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 42.0ms (49.1% of total)

ival-mult: 17.0ms (19.9% of total)

const: 15.0ms (17.5% of total)

ival-sub: 6.0ms (7% of total)

adjust: 3.0ms (3.5% of total)

ival-add: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

-35.8MiB live, 20.8MiB allocated

Counts

13 → 156

Calls

Call 1

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

Outputs
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) #<representation:binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* -9 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* 27 x) 9))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/3 binary64) x) (patch (-.f64 #s(literal 1/3 binary64) x) #<representation:binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt -1/9 (taylor 0 x) (#s(alt (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) (patch (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 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 (- 9 (* 3 (/ 1 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 (- 9 (* 3 (/ 1 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 (- 9 (* 3 (/ 1 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 (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify424.0ms (7.4%)

Memory

28.8MiB live, 252.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 236×	`lower-fma.f64`
12 236×	`lower-fma.f32`
3 728×	`lower-*.f64`
3 728×	`lower-*.f32`
2 662×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	883
1	564	846
2	1467	822
3	4635	792
0	8331	743

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 148

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

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

rewrite439.0ms (7.7%)

Memory

23.4MiB live, 339.1MiB allocated

Rules

5 364×	`lower-/.f32`
5 354×	`lower-/.f64`
4 068×	`lower-*.f32`
4 062×	`lower-*.f64`
3 818×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	117
0	41	117
1	182	101
2	1549	100
0	8612	97

Stop Event

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

Counts

13 → 774

Calls

Call 1

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

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

eval295.0ms (5.2%)

Memory: -24.4MiB live, 260.5MiB allocated
Compiler: Compiled 24 093 to 3 119 computations (87.1% saved)

prune65.0ms (1.1%)

Memory

-5.2MiB live, 73.1MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 103	3	1 106
Fresh	0	0	0
Picked	3	0	3
Done	0	2	2
Total	1 106	5	1 111

Accuracy

100.0%

Counts

1 111 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
▶	77.2%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
▶	46.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	47.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 37 to 32 computations (13.5% saved)

simplify81.0ms (1.4%)

Memory

16.4MiB live, 64.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1 088×	`lower-fma.f32`
1 082×	`lower-fma.f64`
728×	`lower-*.f32`
724×	`lower-*.f64`
344×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	109
0	36	109
1	60	109
2	72	109
3	88	109
4	123	109
5	193	109
6	382	109
7	822	109
8	1098	109
9	1392	109
10	1759	109
11	2128	109
12	2190	109
13	2191	109
14	2191	109
0	2191	105

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (1.6%)

Memory

-23.5MiB live, 170.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
accuracy	0.01171875	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.15234375	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.3240592955277242	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
accuracy	0.17313253162065376	(.f64 #s(literal -9 binary64) (.f64 x x))
accuracy	14.529060178033305	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
accuracy	34.10067786296614	#s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))

Samples

43.0ms	209×	0	valid
16.0ms	18×	2	valid
12.0ms	29×	1	valid

Compiler

Compiled 108 to 25 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 14.0ms (27.2% of total)

const: 12.0ms (23.3% of total)

ival-mult: 9.0ms (17.5% of total)

adjust: 7.0ms (13.6% of total)

ival-add: 5.0ms (9.7% of total)

ival-sub: 4.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

11 → 132

Calls

Call 1

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

Outputs
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (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 (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (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 (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (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 (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (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 (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (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 (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (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 (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (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 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -9 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -9 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -9 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
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#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 9)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 9)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 9)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (patch (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) (patch (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal -9 binary64) (.f64 x x)) (patch (.f64 #s(literal -9 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) (patch (fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (patch (/.f64 x (-.f64 x #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 1/81 (* 1/243 (/ 1 x))) x)) 1/27) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify172.0ms (3%)

Memory

-0.6MiB live, 207.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 538×	`lower-fma.f64`
11 538×	`lower-fma.f32`
3 448×	`lower-*.f64`
3 448×	`lower-*.f32`
2 000×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	666
1	391	654
2	905	648
3	2415	636
4	5950	632
0	8083	597

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

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

rewrite217.0ms (3.8%)

Memory

-3.8MiB live, 278.7MiB allocated

Rules

5 460×	`lower-fma.f32`
5 454×	`lower-fma.f64`
4 252×	`lower-/.f32`
4 244×	`lower-/.f64`
3 694×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	88
0	36	88
1	183	80
2	1294	80
0	8400	78

Stop Event

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

Counts

11 → 432

Calls

Call 1

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

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

eval102.0ms (1.8%)

Memory: -18.7MiB live, 136.4MiB allocated
Compiler: Compiled 12 016 to 1 529 computations (87.3% saved)

prune34.0ms (0.6%)

Memory

-2.4MiB live, 36.7MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	613	1	614
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	615	4	619

Accuracy

100.0%

Counts

619 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.3%	(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
✓	46.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	47.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 147 to 66 computations (55.1% saved)

regimes8.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

12 → 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 (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 3 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes9.0ms (0.2%)

Memory

-23.4MiB live, 13.7MiB allocated

Counts

8 → 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 (/ (- 1/3 x) (- 1/9 (* x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64))))
(/.f64 #s(approx (- (* (* x x) (- 1/3 x)) (* (- x 1/3) -1/9)) (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))) (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))

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

Calls

2 calls:

5.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms	x

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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
47.1%	1	`x`
47.1%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify52.0ms (0.9%)

Memory

-11.2MiB live, 75.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`-commutative-binary64-.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	33
1	25	33
2	32	33
3	36	33
4	38	33

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness370.0ms (6.5%)

Memory

17.8MiB live, 288.7MiB allocated

Rules

8 708×	`lower-fma.f64`
8 708×	`lower-fma.f32`
5 762×	`lower-/.f32`
5 756×	`lower-/.f64`
5 364×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	86
0	34	95
1	136	77
2	1185	77
0	8443	75
0	5	4
0	8	4
1	25	4
2	126	4
3	957	4
0	8643	4
0	27	117
0	41	117
1	182	101
2	1549	100
0	8612	97
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 154 to 78 computations (49.4% saved)

preprocess65.0ms (1.1%)

Memory: -7.3MiB live, 66.8MiB allocated
Compiler: Compiled 70 to 42 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (23%)

explain51.0ms (0.9%)

preprocess15.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.2%)

series7.0ms (0.1%)

simplify5.0ms (0.1%)

rewrite220.0ms (3.8%)

eval33.0ms (0.6%)

prune9.0ms (0.1%)

simplify173.0ms (3%)

localize162.0ms (2.8%)

series56.0ms (1%)

simplify229.0ms (4%)

rewrite264.0ms (4.6%)

eval235.0ms (4.1%)

prune63.0ms (1.1%)

simplify213.0ms (3.7%)

localize193.0ms (3.4%)

series18.0ms (0.3%)

simplify424.0ms (7.4%)

rewrite439.0ms (7.7%)

eval295.0ms (5.2%)

prune65.0ms (1.1%)

simplify81.0ms (1.4%)

localize89.0ms (1.6%)

series8.0ms (0.1%)

simplify172.0ms (3%)

rewrite217.0ms (3.8%)

eval102.0ms (1.8%)

prune34.0ms (0.6%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.2%)

regimes3.0ms (0%)

simplify52.0ms (0.9%)

soundness370.0ms (6.5%)

preprocess65.0ms (1.1%)

end0.0ms (0%)

Profiling