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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample486.0ms (11.3%)

Memory

19.9MiB live, 763.8MiB allocated

Samples

279.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-div: 78.0ms (57.4% of total)

ival-sub: 41.0ms (30.2% of total)

exact: 8.0ms (5.9% of total)

ival-true: 6.0ms (4.4% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain54.0ms (1.2%)

Memory

9.6MiB live, 86.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
-	-	`(/.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 42 to 29 computations (31% saved)

Precisions

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

ival-div: 4.0ms (49.9% of total)

ival-sub: 3.0ms (37.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.4%)

Memory

-15.7MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`distribute-lft-neg-in`
14×	`sub-neg`
12×	`cancel-sign-sub-inv`
10×	`associate--r+`
10×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	39	6
3	63	6
4	96	6
5	104	6
6	106	6
0	5	3
0	8	3
1	13	3
2	14	3
0	14	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 x #s(literal 1/3 binary64))

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB 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-+.f64`
4×	`lower-+.f32`
2×	`lift-/.f64`
2×	`1-exp`
2×	`lift--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	8	7
1	13	7
2	14	7
0	14	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 x #s(literal 1/3 binary64))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize14.0ms (0.3%)

Memory

20.9MiB live, 20.9MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

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 (51.6% of total)

ival-sub: 1.0ms (25.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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 (- x 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 (- x 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 (- x 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 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 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (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 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (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 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

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

simplify21.0ms (0.5%)

Memory

-41.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
144×	`lower-*.f64`
144×	`lower-*.f32`
96×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	32	30
2	75	30
3	158	30
4	412	30
5	523	30
6	576	30
7	599	30
8	601	30
0	601	30

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

Inputs
-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))))
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)
(- 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))
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))

rewrite183.0ms (4.2%)

Memory

20.0MiB live, 206.8MiB allocated

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
4 474×	`lower-*.f64`
4 474×	`lower-*.f32`
3 944×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	27	4
2	129	4
3	979	4
0	8557	4

Stop Event

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

Counts

2 → 313

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

eval41.0ms (0.9%)

Memory: 19.7MiB live, 93.0MiB allocated
Compiler: Compiled 8 097 to 759 computations (90.6% saved)

prune57.0ms (1.3%)

Memory

-24.7MiB live, 104.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	319	4	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	4	324

Accuracy

100.0%

Counts

324 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
▶	71.4%	(fma.f64 (*.f64 x x) (/.f64 x (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))))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	47.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify132.0ms (3.1%)

Memory

26.5MiB live, 65.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

2 168×	`lower-fma.f32`
2 160×	`lower-fma.f64`
1 000×	`lower-*.f32`
996×	`lower-*.f64`
424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	113
0	39	113
1	62	113
2	94	112
3	145	112
4	209	112
5	284	112
6	440	112
7	704	112
8	1098	112
9	1460	112
10	2405	112
11	2901	112
12	3259	112
13	3476	112
14	3524	112
15	3555	112
16	3572	112
17	3572	112
18	3572	112
0	3572	111

Stop Event

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

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

localize200.0ms (4.6%)

Memory

-19.5MiB live, 130.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 x #s(literal -1/3 binary64))
accuracy	0.0703125	(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))
accuracy	0.15625	(/.f64 x (-.f64 x #s(literal -1/3 binary64)))
accuracy	0.5449154865894461	(/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64)))
accuracy	0.01953125	(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
accuracy	0.5536854572841993	(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	17.032412904405774	(fma.f64 (*.f64 x x) (/.f64 x (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))))
accuracy	17.116791521901224	(/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	0.01171875	(-.f64 x #s(literal 1/3 binary64))
accuracy	33.50999607153008	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Samples

112.0ms	18×	2	valid
49.0ms	214×	0	valid
11.0ms	24×	1	valid

Compiler

Compiled 125 to 28 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

const: 109.0ms (69.7% of total)

ival-div: 23.0ms (14.7% of total)

ival-mult: 9.0ms (5.8% of total)

ival-sub: 6.0ms (3.8% of total)

ival-add: 5.0ms (3.2% of total)

adjust: 3.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

14 → 168

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

Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 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 (- x 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 (- x 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 (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 (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>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* -27 x))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 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>) () ())) ())
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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 (/ (- 1/3 (* 1/9 (/ 1 x))) 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 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) 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 (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (patch (.f64 x (/.f64 x (-.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 (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (patch (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (patch (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (patch (.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

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

3.0ms

-inf

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

simplify201.0ms (4.7%)

Memory

-22.7MiB live, 145.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 246×	`lower-fma.f64`
12 246×	`lower-fma.f32`
3 870×	`lower-+.f64`
3 870×	`lower-+.f32`
3 744×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	980
1	613	951
2	1457	933
3	4154	926
0	8408	879

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 156

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1
(- (* -9 (pow x 2)) 1)
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1)
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
1/3
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
(+ 1/3 (* -1 x))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-1/3
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(* 3 x)
(* x (+ 3 (* -9 x)))
(* x (+ 3 (* x (- (* 27 x) 9))))
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -9 x)))
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 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))))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
(* x (- (* 1/3 (/ 1 x)) 1))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
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 (/ 1/9 (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 (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 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 (pow x 2))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/3 (/ 1 x)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
1
(- 1 (* 1/3 (/ 1 x)))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))

Outputs
-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)
(- 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
-1
#s(literal -1 binary64)
(- (* -9 (pow x 2)) 1)
(fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -81 (pow x 2)) 9)) 1)
(fma.f64 (fma.f64 #s(literal -81 binary64) (.f64 x x) #s(literal -9 binary64)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -729 binary64) x) x #s(literal -81 binary64)) (.f64 x x) #s(literal -9 binary64)) (*.f64 x x) #s(literal -1 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 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)
-1/3
#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)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x)
(* x (+ 3 (* x (- (* 27 x) 9))))
(*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x)
(* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(*.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)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(* (pow x 2) (+ 3 (* -9 x)))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* 27 x) 9))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9))))
(.f64 (.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) 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))
(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 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 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 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))
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 x x))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* -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)
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))
(/ -1/27 (pow x 2))
(/.f64 (/.f64 #s(literal -1/27 binary64) x) x)
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) x)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/27 binary64))) (*.f64 x x))
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (+ 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 #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
(* x (- 1 (* 1/3 (/ 1 x))))
(-.f64 x #s(literal 1/3 binary64))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))
(-.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))
(* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))
(fma.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) x x)
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))
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))
(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 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 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x) #s(literal 1/3 binary64)) x)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) 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 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 1/81 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (* 1/81 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (.f64 x x)) #s(literal 1/9 binary64))) (.f64 x x))
(/ (+ 1/9 (+ (/ 1/729 (pow x 4)) (+ (* 1/81 (/ 1 (pow x 2))) (* 1/6561 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6561 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/9 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/81 binary64) (.f64 x x)))) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* -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)
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))
(/ -1/27 (pow x 2))
(/.f64 (/.f64 #s(literal -1/27 binary64) x) x)
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) #s(literal 1/27 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(- 1 (* 1/3 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x)))
(-.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 (- (* 1/3 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))
(-.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) x) x x)

rewrite695.0ms (16.1%)

Memory

-13.5MiB live, 350.0MiB allocated

Rules

5 640×	`lower-/.f32`
5 632×	`lower-/.f64`
4 230×	`lower-*.f32`
4 226×	`lower-*.f64`
3 070×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	98
0	39	98
1	166	97
2	1377	97
0	8507	97

Stop Event

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

Counts

14 → 904

Calls

Call 1

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

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

eval286.0ms (6.6%)

Memory: 27.6MiB live, 338.2MiB allocated
Compiler: Compiled 38 003 to 3 405 computations (91% saved)

prune238.0ms (5.5%)

Memory

13.4MiB live, 364.6MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 214	2	1 216
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 215	5	1 220

Accuracy

100.0%

Counts

1 220 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
▶	50.3%	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
▶	73.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	47.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 48 to 38 computations (20.8% saved)

simplify80.0ms (1.9%)

Memory

10.5MiB live, 47.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1 144×	`lower-fma.f32`
1 138×	`lower-fma.f64`
664×	`lower-*.f32`
660×	`lower-*.f64`
298×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	32	93
1	50	93
2	71	91
3	108	91
4	166	91
5	217	91
6	293	91
7	390	91
8	531	91
9	875	91
10	1831	91
11	2220	91
12	2408	91
13	2500	91
14	2551	91
15	2564	91
16	2568	91
0	2568	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (1.9%)

Memory

-23.9MiB live, 116.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
accuracy	0.5536854572841993	(/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	17.032412904405774	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
accuracy	33.449593299075964	#s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))
accuracy	0.00390625	(fma.f64 x x #s(literal -1/9 binary64))
accuracy	0.015625	(-.f64 x #s(literal -1/3 binary64))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
accuracy	17.030854021901224	(/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))

Samples

64.0ms	245×	0	valid
3.0ms	7×	2	valid
2.0ms	4×	1	valid

Compiler

Compiled 96 to 21 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 17.0ms (36.2% of total)

const: 14.0ms (29.8% of total)

ival-mult: 9.0ms (19.2% of total)

ival-add: 4.0ms (8.5% of total)

ival-sub: 2.0ms (4.3% of total)

adjust: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

-16.0MiB live, 21.5MiB allocated

Counts

10 → 120

Calls

Call 1

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

Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -9 x) 3) (taylor 0 x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -27 x) 9)) 3) (taylor 0 x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -81 x) 27)) 9)) 3) (taylor 0 x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 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 -1/9 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1/9) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1/9 binary64)) (patch (fma.f64 x x #s(literal -1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (patch (fma.f64 (.f64 x x) #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) #<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>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* -27 x))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* 243 (pow x 2)) 27)))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27)))) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* x (- x -1/3)) 1/9)) (.f64 #s(literal 9 binary64) x)) (patch #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9 x) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) x) (patch (.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* -9 (pow x 2)))) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/3 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (patch (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 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>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify183.0ms (4.3%)

Memory

16.0MiB live, 205.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 096×	`lower-fma.f64`
9 096×	`lower-fma.f32`
3 114×	`lower-*.f64`
3 114×	`lower-*.f32`
2 652×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	652
1	448	648
2	1066	639
3	3067	628
4	7808	628
0	8331	597

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
-3
(- (* -9 x) 3)
(- (* x (- (* -27 x) 9)) 3)
(- (* x (- (* x (- (* -81 x) 27)) 9)) 3)
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 x)
(* x (+ 9 (* -27 x)))
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
-1/3
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 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)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(/ 1 x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1) x))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))

Outputs
-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))
-3
#s(literal -3 binary64)
(- (* -9 x) 3)
(fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))
(- (* x (- (* -27 x) 9)) 3)
(fma.f64 (fma.f64 #s(literal -27 binary64) x #s(literal -9 binary64)) x #s(literal -3 binary64))
(- (* x (- (* x (- (* -81 x) 27)) 9)) 3)
(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 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(fma.f64 x x #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- x 1/3)
(-.f64 x #s(literal 1/3 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)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -27 x)))
(*.f64 (fma.f64 #s(literal -27 binary64) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* 243 (pow x 2)) 27))))
(.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* x (+ 9 (* x (- (* (pow x 2) (+ 243 (* -729 x))) 27))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -729 binary64) x #s(literal 243 binary64)) (.f64 x x) #s(literal -27 binary64)) x #s(literal 9 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(-.f64 x #s(literal 1/3 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal 1/3 binary64)))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 (+.f64 #s(literal 1/3 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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) 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 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
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))
(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 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 (/ 1/27 (pow x 3))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1/27 (pow x 3))) (+ (* 1/3 (/ 1 x)) (* 1/81 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) 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 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -1/9 binary64))
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))
(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 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 (/ (- (* 1/27 (/ 1 (pow x 2))) 1/3) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 (pow x 2))) (+ 1/3 (/ 1/81 (pow x 3)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)) x) #s(literal -1 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (-.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1/2187 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) x) x #s(literal 1/9 binary64))

rewrite247.0ms (5.7%)

Memory

13.6MiB live, 328.3MiB allocated

Rules

8 624×	`lower-fma.f32`
8 618×	`lower-fma.f64`
5 836×	`lower-*.f32`
5 832×	`lower-*.f64`
4 022×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	81
0	32	81
1	131	71
2	914	71
0	8612	71

Stop Event

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

Counts

10 → 681

Calls

Call 1

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

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

eval186.0ms (4.3%)

Memory: -25.0MiB live, 222.7MiB allocated
Compiler: Compiled 21 834 to 2 585 computations (88.2% saved)

prune197.0ms (4.6%)

Memory

26.9MiB live, 260.7MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	902	1	903
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	904	4	908

Accuracy

100.0%

Counts

908 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify35.0ms (0.8%)

Memory

-27.5MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

cost-diff

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

cost-diff

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

cost-diff

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

Rules

368×	`lower-fma.f32`
366×	`lower-fma.f64`
232×	`lower-*.f64`
232×	`lower-*.f32`
148×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
0	16	38
1	27	38
2	30	38
3	37	38
4	51	38
5	77	38
6	107	38
7	161	38
8	239	38
9	479	38
10	679	38
11	728	38
12	781	38
13	997	38
14	1005	38
15	1014	38
16	1018	38
0	1018	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (1.3%)

Memory

28.7MiB live, 65.8MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

accuracy

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

accuracy

0.125

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

accuracy

33.45932283957076

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

Samples

47.0ms	250×	0	valid
1.0ms	4×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 31 to 15 computations (51.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 25.0ms (62.6% of total)

const: 6.0ms (15% of total)

ival-mult: 4.0ms (10% of total)

ival-add: 3.0ms (7.5% of total)

ival-sub: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify178.0ms (4.1%)

Memory

-26.8MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 760×	`lower-fma.f64`
7 760×	`lower-fma.f32`
2 008×	`lower-*.f64`
2 008×	`lower-*.f32`
1 614×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	194
1	162	194
2	379	194
3	800	194
4	1852	186
5	3866	186
6	6778	186
7	7714	186
0	8024	169

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite151.0ms (3.5%)

Memory

2.5MiB live, 223.1MiB allocated

Rules

4 330×	`lower-*.f64`
4 330×	`lower-*.f32`
3 626×	`lower-fma.f32`
3 624×	`lower-fma.f64`
3 464×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
0	16	34
1	86	26
2	550	26
3	6606	26
0	8005	26

Stop Event

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

Counts

3 → 103

Calls

Call 1

Inputs

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

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

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

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

eval19.0ms (0.4%)

Memory: 0.9MiB live, 49.5MiB allocated
Compiler: Compiled 2 066 to 454 computations (78% saved)

prune16.0ms (0.4%)

Memory

11.7MiB live, 50.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	137	4	141

Accuracy

100.0%

Counts

141 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 109 to 60 computations (45% saved)

regimes7.0ms (0.2%)

Memory

-20.5MiB live, 18.3MiB 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 (/ (- x -1/3) (+ (* x x) -1/9)) (fma.f64 #s(literal -9 binary64) x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x -1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (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))))

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

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

8.5MiB live, 8.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
47.6%	1	`x`
47.6%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify27.0ms (0.6%)

Memory

-14.9MiB live, 63.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness116.0ms (2.7%)

Memory

41.1MiB live, 114.8MiB allocated

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
4 474×	`lower-*.f64`
4 474×	`lower-*.f32`
3 944×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	27	4
2	129	4
3	979	4
0	8557	4
0	13	30
1	32	30
2	75	30
3	158	30
4	412	30
5	523	30
6	576	30
7	599	30
8	601	30
0	601	30

Stop Event

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

Compiler

Compiled 14 to 14 computations (0% saved)

preprocess70.0ms (1.6%)

Memory: -26.5MiB live, 97.3MiB allocated
Compiler: Compiled 20 to 20 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample486.0ms (11.3%)

explain54.0ms (1.2%)

preprocess17.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.3%)

series1.0ms (0%)

simplify21.0ms (0.5%)

rewrite183.0ms (4.2%)

eval41.0ms (0.9%)

prune57.0ms (1.3%)

simplify132.0ms (3.1%)

localize200.0ms (4.6%)

series14.0ms (0.3%)

simplify201.0ms (4.7%)

rewrite695.0ms (16.1%)

eval286.0ms (6.6%)

prune238.0ms (5.5%)

simplify80.0ms (1.9%)

localize82.0ms (1.9%)

series11.0ms (0.2%)

simplify183.0ms (4.3%)

rewrite247.0ms (5.7%)

eval186.0ms (4.3%)

prune197.0ms (4.6%)

simplify35.0ms (0.8%)

localize56.0ms (1.3%)

series3.0ms (0.1%)

simplify178.0ms (4.1%)

rewrite151.0ms (3.5%)

eval19.0ms (0.4%)

prune16.0ms (0.4%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

simplify27.0ms (0.6%)

soundness116.0ms (2.7%)

preprocess70.0ms (1.6%)

end0.0ms (0%)

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