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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.5s (33.1%)

Memory

38.4MiB live, 987.7MiB allocated

Samples

364.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-div: 120.0ms (68.8% of total)

ival-add: 38.0ms (21.8% of total)

exact: 7.0ms (4% of total)

ival-true: 6.0ms (3.4% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain54.0ms (1.2%)

Memory

11.3MiB live, 106.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (41.4% of total)

ival-add: 4.0ms (41.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.3%)

Memory

-19.0MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	15	7
2	17	7
0	5	3
0	8	3
1	11	3
0	11	3

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.4%)

Memory

-14.4MiB live, 30.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.00390625	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (55.5% of total)

ival-add: 1.0ms (27.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify10.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	26	8
2	58	8
3	151	8
4	216	8
5	265	8
6	322	8
7	348	8
8	364	8
0	364	8

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 3

Calls

Call 1

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

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

rewrite168.0ms (3.7%)

Memory

34.9MiB live, 343.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	26	4
2	118	4
3	873	4
0	8734	4

Stop Event

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

Counts

2 → 172

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

eval293.0ms (6.5%)

Memory: -77.2MiB live, 101.0MiB allocated
Compiler: Compiled 5 381 to 531 computations (90.1% saved)

prune3.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	3	175

Accuracy

100.0%

Counts

175 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.9%	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
▶	100.0%	(+.f64 x #s(literal 1/3 binary64))
▶	53.7%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Status

Accuracy

Program

▶

60.9%

(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))

▶

100.0%

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

▶

53.7%

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

Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify117.0ms (2.6%)

Memory

29.8MiB live, 168.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
cost-diff	5	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	12	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
cost-diff	0	(+.f64 x #s(literal 1/3 binary64))
cost-diff	0	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	98
0	31	98
1	51	88
2	137	85
3	436	85
4	1333	83
5	3443	81
6	5084	76
0	8047	76

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (2.1%)

Memory

-21.1MiB live, 116.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.04296875	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
accuracy	0.560878759768442	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	24.33950693104631	(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
accuracy	0.00390625	(+.f64 x #s(literal 1/3 binary64))
accuracy	29.644605735247932	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Samples

84.0ms

256×

valid

Compiler

Compiled 104 to 22 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-pow: 33.0ms (52% of total)

const: 9.0ms (14.2% of total)

ival-div: 7.0ms (11% of total)

ival-mult: 6.0ms (9.5% of total)

ival-add: 4.0ms (6.3% of total)

ival-sub: 4.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

7 → 38

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ x (/ 1 3)) (+ x 1/3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))
2.0ms	x	@	-inf	((+ x (/ 1 3)) (+ x 1/3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))
1.0ms	x	@	0	((+ x (/ 1 3)) (+ x 1/3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))

Time

Variable

Point

Expression

2.0ms

inf

((+ x (/ 1 3)) (+ x 1/3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))

2.0ms

-inf

((+ x (/ 1 3)) (+ x 1/3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))

1.0ms

((+ x (/ 1 3)) (+ x 1/3) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))

simplify149.0ms (3.3%)

Memory

-0.9MiB live, 141.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	367
1	386	361
2	1074	358
3	4117	355
0	8263	346

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

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

rewrite336.0ms (7.5%)

Memory

13.5MiB live, 300.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	72
0	31	49
1	111	46
2	721	44
0	9163	44

Stop Event

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

Counts

7 → 793

Calls

Call 1

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

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

eval149.0ms (3.3%)

Memory: -25.2MiB live, 163.1MiB allocated
Compiler: Compiled 25 062 to 2 172 computations (91.3% saved)

prune12.0ms (0.3%)

Memory

5.9MiB live, 52.0MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	693	1	694
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	694	3	697

Accuracy

100.0%

Counts

697 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

53.0%

(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))

✓

100.0%

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

✓

53.7%

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

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify268.0ms (6%)

Memory

40.4MiB live, 318.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
cost-diff	0	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
cost-diff	0	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
cost-diff	5	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	26	82
1	38	82
2	88	80
3	256	80
4	588	76
5	1037	72
6	1204	72
7	1510	72
8	1811	72
9	2061	72
10	2158	72
11	2270	72
12	2576	72
13	3517	72
0	8368	72

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (-.f64 x #s(literal 1/3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 x x)
x
#s(literal 1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize54.0ms (1.2%)

Memory

-41.9MiB live, 110.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.560878759768442	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	24.33950693104631	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
accuracy	29.35149607337471	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))

Samples

43.0ms

256×

valid

Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

const: 14.0ms (41.2% of total)

ival-mult: 6.0ms (17.7% of total)

ival-sub: 6.0ms (17.7% of total)

ival-pow: 5.0ms (14.7% of total)

ival-div: 2.0ms (5.9% of total)

ival-add: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

5 → 38

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))

1.0ms

inf

((* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))

1.0ms

((* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))

simplify180.0ms (4%)

Memory

29.5MiB live, 166.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	367
1	386	361
2	1074	358
3	4118	355
0	8243	346

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

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

rewrite235.0ms (5.2%)

Memory

-2.4MiB live, 223.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	68
0	26	68
1	93	68
2	596	58
3	7573	58
0	8063	58

Stop Event

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

Counts

5 → 356

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))

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

eval57.0ms (1.3%)

Memory: -21.0MiB live, 128.3MiB allocated
Compiler: Compiled 16 052 to 1 492 computations (90.7% saved)

prune6.0ms (0.1%)

Memory

33.8MiB live, 33.8MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	390	1	391
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	391	3	394

Accuracy

100.0%

Counts

394 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

52.7%

(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))

✓

100.0%

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

✓

53.7%

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

Compiler

Compiled 40 to 30 computations (25% saved)

simplify34.0ms (0.8%)

Memory

-15.4MiB live, 77.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
cost-diff	0	(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
cost-diff	0	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	24	86
1	36	86
2	86	86
3	246	86
4	525	86
5	826	86
6	978	86
7	1202	86
8	1351	86
9	1466	86
10	1469	86
0	1469	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
x
#s(literal 1/9 binary64)
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

Outputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(literal 1/729 binary64)
(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(*.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 x x #s(literal 1/9 binary64))
x
#s(literal 1/9 binary64)
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize85.0ms (1.9%)

Memory

-0.8MiB live, 144.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.560878759768442	(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	24.33950693104631	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
accuracy	29.35149607337471	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
accuracy	30.129218269115988	#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))

Samples

45.0ms

256×

valid

Compiler

Compiled 82 to 19 computations (76.8% saved)

Precisions

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

const: 14.0ms (44% of total)

ival-mult: 7.0ms (22% of total)

ival-sub: 4.0ms (12.6% of total)

ival-pow: 4.0ms (12.6% of total)

ival-div: 2.0ms (6.3% of total)

ival-add: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

4 → 27

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (- (* x x) 1/9))

1.0ms

inf

((/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (- (* x x) 1/9))

1.0ms

((/ (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3)))) (* (- (* x x) 1/9) (- (pow x 4) 1/81)) (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (- x 1/3))) (- (* x x) 1/9))

simplify191.0ms (4.2%)

Memory

6.2MiB live, 154.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	242
1	268	239
2	765	238
3	2948	237
4	7419	235
0	8957	226

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite240.0ms (5.3%)

Memory

-9.9MiB live, 224.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	66
0	24	66
1	91	66
2	573	66
0	8637	66

Stop Event

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

Counts

4 → 161

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))
#s(approx (- (* x x) 1/9) #s(literal -1/9 binary64))

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

eval31.0ms (0.7%)

Memory: -12.1MiB live, 86.3MiB allocated
Compiler: Compiled 7 492 to 638 computations (91.5% saved)

prune5.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	182	3	185

Accuracy

100.0%

Counts

185 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

52.7%

(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (*.f64 #s(approx (- (* x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))

✓

100.0%

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

✓

53.7%

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

Compiler

Compiled 139 to 70 computations (49.6% saved)

regimes5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB 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) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 #s(approx (- ( x x) 1/9) #s(literal -1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))))

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-36.4MiB live, 8.9MiB 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:

4.0ms	x
1.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
53.7%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
53.7%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify10.0ms (0.2%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	11	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))

soundness114.0ms (2.5%)

Memory

4.2MiB live, 148.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	26	4
2	118	4
3	873	4
0	8734	4
0	8	8
1	26	8
2	58	8
3	151	8
4	216	8
5	265	8
6	322	8
7	348	8
8	364	8
0	364	8

Stop Event

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

preprocess55.0ms (1.2%)

Memory: -11.8MiB live, 33.1MiB allocated
Compiler: Compiled 30 to 26 computations (13.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (33.1%)

explain54.0ms (1.2%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.4%)

series1.0ms (0%)

simplify10.0ms (0.2%)

rewrite168.0ms (3.7%)

eval293.0ms (6.5%)

prune3.0ms (0.1%)

simplify117.0ms (2.6%)

localize96.0ms (2.1%)

series6.0ms (0.1%)

simplify149.0ms (3.3%)

rewrite336.0ms (7.5%)

eval149.0ms (3.3%)

prune12.0ms (0.3%)

simplify268.0ms (6%)

localize54.0ms (1.2%)

series3.0ms (0.1%)

simplify180.0ms (4%)

rewrite235.0ms (5.2%)

eval57.0ms (1.3%)

prune6.0ms (0.1%)

simplify34.0ms (0.8%)

localize85.0ms (1.9%)

series2.0ms (0.1%)

simplify191.0ms (4.2%)

rewrite240.0ms (5.3%)

eval31.0ms (0.7%)

prune5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

simplify10.0ms (0.2%)

soundness114.0ms (2.5%)

preprocess55.0ms (1.2%)

end0.0ms (0%)

Profiling