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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample862.0ms (18.7%)

Memory

-12.9MiB live, 749.9MiB allocated

Samples

630.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-div: 253.0ms (82% of total)

ival-sub: 39.0ms (12.6% of total)

exact: 8.0ms (2.6% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain53.0ms (1.1%)

Memory

27.2MiB live, 104.6MiB 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

22.0ms

512×

valid

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 8.0ms (70.2% of total)

ival-sub: 2.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess26.0ms (0.6%)

Memory

-8.0MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`distribute-lft-neg-in`
7×	`sub-neg`
6×	`cancel-sign-sub-inv`
5×	`associate--r+`
5×	`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 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0.1%)

Memory

7.8MiB live, 7.9MiB 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

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

localize21.0ms (0.4%)

Memory

0.2MiB live, 42.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 7.0ms (78.3% of total)

ival-sub: 1.0ms (11.2% 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

1.8MiB live, 1.8MiB 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	(- x (/ 1 3))
0.0ms	x	@	-inf	(- x (/ 1 3))
0.0ms	x	@	0	(- x (/ 1 3))

simplify19.0ms (0.4%)

Memory

-23.8MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Rules

96×	`lower-fma.f64`
96×	`lower-fma.f32`
72×	`lower-*.f64`
72×	`lower-*.f32`
48×	`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))

rewrite353.0ms (7.7%)

Memory

13.6MiB live, 292.0MiB allocated

Rules

3 456×	`lower-fma.f64`
3 456×	`lower-fma.f32`
2 237×	`lower-*.f64`
2 237×	`lower-*.f32`
1 972×	`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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x #s(literal 1/81 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) x #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 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (.f64 (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))))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x 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))))) (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))) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1/27 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)) (fma.f64 (.f64 x x) x #s(literal -1/27 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 (.f64 x x) (.f64 x x) #s(literal -1/81 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/9 binary64) (.f64 x (-.f64 x #s(literal -1/3 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1/81 binary64)) (fma.f64 (.f64 x x) x #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 x #s(literal 1/3 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1/729 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 x #s(literal -1/3 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x #s(literal 1/81 binary64)))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1/729 binary64)) (.f64 (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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1/27 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 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1/729 binary64)) (.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x 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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal 1/27 binary64))) (/.f64 #s(literal 1 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))) (.f64 (.f64 x x) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/19683 binary64)) (.f64 (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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 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 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/19683 binary64)) (.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x 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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 x x) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 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))) (.f64 (.f64 x x) (*.f64 x x))))))
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eval406.0ms (8.8%)

Memory: -10.1MiB live, 59.5MiB allocated
Compiler: Compiled 10 409 to 761 computations (92.7% saved)

prune443.0ms (9.6%)

Memory

10.2MiB live, 112.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	320	3	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	3	324

Accuracy

100.0%

Counts

324 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.1%	(/.f64 (fma.f64 (*.f64 x x) x #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))
▶	48.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Status

Accuracy

Program

▶

65.1%

(/.f64 (fma.f64 (*.f64 x x) x #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))

▶

48.6%

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

18×	`lower-+.f64`
18×	`lower-+.f32`
13×	`lower-fma.f32`
11×	`lower-fma.f64`
8×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
0	23	46
1	33	44
2	40	44
3	49	44
4	55	44
0	55	44

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

localize68.0ms (1.5%)

Memory

-30.5MiB live, 127.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x #s(literal -1/3 binary64))
accuracy	0.01953125	(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
accuracy	0.05859375	(fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))
accuracy	21.668022558202175	(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	0.0078125	(-.f64 x #s(literal 1/3 binary64))
accuracy	32.90052258737504	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Samples

50.0ms

256×

valid

Compiler

Compiled 52 to 19 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 16.0ms (39.3% of total)

const: 13.0ms (32% of total)

ival-div: 4.0ms (9.8% of total)

ival-add: 4.0ms (9.8% of total)

ival-sub: 3.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

7 → 84

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

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

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ (* (* x x) x) -1/27) (+ (* x (- x -1/3)) 1/9))
1.0ms	x	@	inf	(/ (+ (* (* x x) x) -1/27) (+ (* x (- x -1/3)) 1/9))
1.0ms	x	@	0	(/ (+ (* (* x x) x) -1/27) (+ (* x (- x -1/3)) 1/9))
0.0ms	x	@	inf	(+ (* (* x x) x) -1/27)
0.0ms	x	@	inf	(* x x)

simplify109.0ms (2.4%)

Memory

16.4MiB live, 174.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 445×	`lower-fma.f64`
2 445×	`lower-fma.f32`
1 392×	`lower-*.f64`
1 392×	`lower-*.f32`
792×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	280
1	109	280
2	283	272
3	833	272
4	2363	272
5	5479	272
0	8113	265

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 76

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

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

rewrite293.0ms (6.3%)

Memory

24.0MiB live, 283.4MiB allocated

Rules

2 238×	`lower-fma.f32`
2 236×	`lower-fma.f64`
2 009×	`lower-*.f32`
2 008×	`lower-*.f64`
1 649×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
0	23	28
1	87	28
2	541	28
3	6583	28
0	8054	28

Stop Event

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

Counts

7 → 807

Calls

Call 1

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

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

eval133.0ms (2.9%)

Memory: -19.5MiB live, 264.9MiB allocated
Compiler: Compiled 28 041 to 1 674 computations (94% saved)

prune88.0ms (1.9%)

Memory

15.0MiB live, 207.3MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	882	1	883
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	883	3	886

Accuracy

100.0%

Counts

886 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

48.8%

(/.f64 #s(approx (+ (* (* x x) x) -1/27) #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))

✓

48.6%

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify9.0ms (0.2%)

Memory

-32.5MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

16×	`lower-+.f64`
16×	`lower-+.f32`
13×	`lower-fma.f32`
12×	`lower-fma.f64`
7×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	15	38
1	22	34
2	29	34
3	38	34
4	44	34
0	44	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.8%)

Memory

37.8MiB live, 76.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x #s(literal -1/3 binary64))
accuracy	0.01953125	(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
accuracy	21.668022558202175	(/.f64 #s(approx (+ (* (* x x) x) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	32.84932670600309	#s(approx (+ (* (* x x) x) -1/27) #s(literal -1/27 binary64))

Samples

27.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

const: 8.0ms (39.3% of total)

ival-mult: 6.0ms (29.5% of total)

ival-sub: 2.0ms (9.8% of total)

ival-div: 2.0ms (9.8% of total)

ival-add: 2.0ms (9.8% of total)

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

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

series3.0ms (0.1%)

Memory

-34.6MiB live, 4.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ (* (* x x) x) -1/27) (+ (* x (- x -1/3)) 1/9))
0.0ms	x	@	-inf	(+ (* (* x x) x) -1/27)
0.0ms	x	@	-inf	(/ (+ (* (* x x) x) -1/27) (+ (* x (- x -1/3)) 1/9))
0.0ms	x	@	inf	(/ (+ (* (* x x) x) -1/27) (+ (* x (- x -1/3)) 1/9))
0.0ms	x	@	inf	(+ (* (* x x) x) -1/27)

simplify143.0ms (3.1%)

Memory

-10.0MiB live, 120.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 445×	`lower-fma.f64`
2 445×	`lower-fma.f32`
1 392×	`lower-*.f64`
1 392×	`lower-*.f32`
792×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	184
1	109	184
2	283	176
3	829	176
4	2387	176
5	5486	176
0	8128	169

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

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

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

rewrite393.0ms (8.5%)

Memory

-150.6MiB live, 304.9MiB allocated

Rules

2 295×	`lower-fma.f32`
2 294×	`lower-fma.f64`
2 017×	`lower-*.f64`
2 017×	`lower-*.f32`
1 577×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	15	30
1	70	30
2	447	30
3	4506	30
0	8708	30

Stop Event

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

Counts

4 → 250

Calls

Call 1

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

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

eval132.0ms (2.9%)

Memory: -3.0MiB live, 75.6MiB allocated
Compiler: Compiled 8 293 to 862 computations (89.6% saved)

prune56.0ms (1.2%)

Memory

6.7MiB live, 89.1MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	293	1	294
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	294	3	297

Accuracy

100.0%

Counts

297 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

48.1%

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

✓

100.0%

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

✓

48.6%

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify32.0ms (0.7%)

Memory

-30.5MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

6×	`lower-+.f64`
6×	`lower-+.f32`
5×	`lower-*.f64`
5×	`lower-*.f32`
4×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
0	16	44
1	22	40
2	25	40
0	25	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.9%)

Memory

23.0MiB live, 61.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
accuracy	21.668022558202175	(/.f64 #s(approx (+ (* (* x x) x) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (- x -1/3) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	32.8269612340774	#s(approx (- x -1/3) #s(literal 1/3 binary64))
accuracy	32.84932670600309	#s(approx (+ (* (* x x) x) -1/27) #s(literal -1/27 binary64))

Samples

31.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

const: 13.0ms (54.5% of total)

ival-mult: 5.0ms (21% of total)

ival-div: 2.0ms (8.4% of total)

ival-add: 2.0ms (8.4% of total)

ival-sub: 1.0ms (4.2% of total)

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

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

series2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ (* (* x x) x) -1/27) (+ (* x (- x -1/3)) 1/9))
0.0ms	x	@	-inf	(/ (+ (* (* x x) x) -1/27) (+ (* x (- x -1/3)) 1/9))
0.0ms	x	@	-inf	(+ (* (* x x) x) -1/27)
0.0ms	x	@	inf	(/ (+ (* (* x x) x) -1/27) (+ (* x (- x -1/3)) 1/9))
0.0ms	x	@	inf	(+ (* (* x x) x) -1/27)

simplify137.0ms (3%)

Memory

2.4MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 445×	`lower-fma.f64`
2 445×	`lower-fma.f32`
1 392×	`lower-*.f64`
1 392×	`lower-*.f32`
792×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	184
1	109	184
2	283	176
3	829	176
4	2387	176
5	5486	176
0	8128	169

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

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

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

rewrite251.0ms (5.4%)

Memory

3.3MiB live, 230.6MiB allocated

Rules

2 512×	`lower-fma.f32`
2 511×	`lower-fma.f64`
2 390×	`lower-*.f64`
2 390×	`lower-*.f32`
1 366×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	16	36
1	70	36
2	436	36
3	3798	36
0	8521	36

Stop Event

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

Counts

4 → 206

Calls

Call 1

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

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

eval36.0ms (0.8%)

Memory: -11.0MiB live, 72.4MiB allocated
Compiler: Compiled 6 787 to 651 computations (90.4% saved)

prune34.0ms (0.7%)

Memory

13.5MiB live, 86.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	250	3	253

Accuracy

100.0%

Counts

253 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

48.1%

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

✓

100.0%

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

✓

48.6%

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

Compiler

Compiled 57 to 29 computations (49.1% saved)

regimes5.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

2.0ms	x
2.0ms	(-.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 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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
48.6%	1	`x`
48.6%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.2%)

Memory

-20.7MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

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))

soundness343.0ms (7.4%)

Memory

-16.8MiB live, 144.6MiB allocated

Rules

3 456×	`lower-fma.f64`
3 456×	`lower-fma.f32`
2 237×	`lower-*.f64`
2 237×	`lower-*.f32`
1 972×	`lower-/.f64`

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
0	5	4
0	8	4
1	27	4
2	129	4
3	979	4
0	8557	4

Stop Event

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess65.0ms (1.4%)

Memory: -8.7MiB live, 55.9MiB allocated
Compiler: Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample862.0ms (18.7%)

explain53.0ms (1.1%)

preprocess26.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize21.0ms (0.4%)

series1.0ms (0%)

simplify19.0ms (0.4%)

rewrite353.0ms (7.7%)

eval406.0ms (8.8%)

prune443.0ms (9.6%)

simplify6.0ms (0.1%)

localize68.0ms (1.5%)

series5.0ms (0.1%)

simplify109.0ms (2.4%)

rewrite293.0ms (6.3%)

eval133.0ms (2.9%)

prune88.0ms (1.9%)

simplify9.0ms (0.2%)

localize37.0ms (0.8%)

series3.0ms (0.1%)

simplify143.0ms (3.1%)

rewrite393.0ms (8.5%)

eval132.0ms (2.9%)

prune56.0ms (1.2%)

simplify32.0ms (0.7%)

localize41.0ms (0.9%)

series2.0ms (0%)

simplify137.0ms (3%)

rewrite251.0ms (5.4%)

eval36.0ms (0.8%)

prune34.0ms (0.7%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify8.0ms (0.2%)

soundness343.0ms (7.4%)

preprocess65.0ms (1.4%)

end0.0ms (0%)

Profiling