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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.2s (25.8%)

Memory

-162.2MiB live, 536.8MiB allocated

Samples

910.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 606.0ms

ival-div: 528.0ms (87.2% of total)

ival-sub: 61.0ms (10.1% of total)

exact: 8.0ms (1.3% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain329.0ms (7.3%)

Memory

17.0MiB live, 60.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (50.6% of total)

ival-sub: 2.0ms (25.3% 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

-15.2MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
0	5	3
0	8	3
1	10	3
0	10	3

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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	10	7
0	10	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.3%)

Memory

-13.9MiB live, 23.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.01171875	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (42.1% of total)

ival-sub: 1.0ms (21.1% of total)

exact: 1.0ms (21.1% of total)

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

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

series1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Counts

2 → 5

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

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)))

simplify12.0ms (0.3%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 4

Calls

Call 1

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

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

rewrite140.0ms (3.1%)

Memory

9.0MiB live, 196.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	25	4
2	110	4
3	815	4
0	8726	4

Stop Event

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

Counts

2 → 141

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

eval34.0ms (0.8%)

Memory: -25.2MiB live, 60.9MiB allocated
Compiler: Compiled 4 958 to 452 computations (90.9% saved)

prune5.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	5	145

Accuracy

100.0%

Counts

145 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(/.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 (*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
▶	52.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 124 to 88 computations (29% saved)

simplify108.0ms (2.4%)

Memory

-5.2MiB live, 122.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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	7	(/.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	(/.f64 x (+.f64 x #s(literal 1/3 binary64)))
cost-diff	0	(*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))))
cost-diff	4	(-.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))))
cost-diff	0	(/.f64 #s(literal -1/3 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
cost-diff	0	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	163
0	48	163
1	77	153
2	215	146
3	780	144
4	2615	142
5	7064	142
0	8020	142

Stop Event

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

Calls

Call 1

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

localize116.0ms (2.6%)

Memory

17.9MiB live, 172.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))
accuracy	0.0625	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.52734375	(.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	26.03149670202392	(/.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	0.01171875	(+.f64 x #s(literal 1/3 binary64))
accuracy	0.07421875	(*.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))))
accuracy	0.18359375	(/.f64 x (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.1875	(/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.0	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
accuracy	0.00390625	(-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
accuracy	0.15234375	(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x)
accuracy	0.36328125	(/.f64 #s(literal -1/3 binary64) x)
accuracy	30.67691423323248	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
accuracy	0.01171875	(-.f64 x #s(literal 1/3 binary64))

Samples

71.0ms	217×	0	valid
14.0ms	22×	2	valid
11.0ms	17×	1	valid

Compiler

Compiled 163 to 31 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

const: 27.0ms (38.4% of total)

ival-div: 10.0ms (14.2% of total)

ival-mult: 10.0ms (14.2% of total)

ival-sub: 8.0ms (11.4% of total)

adjust: 7.0ms (10% of total)

ival-pow: 4.0ms (5.7% of total)

ival-add: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

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

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

series17.0ms (0.4%)

Memory

-7.9MiB live, 28.2MiB allocated

Counts

16 → 70

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (- (* x (/ x (+ x 1/3))) (/ 1/9 (+ x 1/3))) (* x (/ x (+ x 1/3))) (/ x (+ 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) (/ 1/9 (+ x 1/3)) (* (+ (* x x) 1/9) (+ x 1/3)))
4.0ms	x	@	inf	((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (- (* x (/ x (+ x 1/3))) (/ 1/9 (+ x 1/3))) (* x (/ x (+ x 1/3))) (/ x (+ 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) (/ 1/9 (+ x 1/3)) (* (+ (* x x) 1/9) (+ x 1/3)))
3.0ms	x	@	-inf	((- x 1/3) (- x (/ 1 3)) (- x (/ 1 3)) (* (- (/ -1/3 x) -1) x) (- (/ -1/3 x) -1) (/ -1/3 x) (- (* x (/ x (+ x 1/3))) (/ 1/9 (+ x 1/3))) (* x (/ x (+ x 1/3))) (/ x (+ 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) (/ 1/9 (+ x 1/3)) (* (+ (* x x) 1/9) (+ x 1/3)))

Time

Variable

Point

Expression

9.0ms

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

4.0ms

inf

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

3.0ms

-inf

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

simplify178.0ms (4%)

Memory

12.9MiB live, 166.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	685
1	697	661
2	1999	639
3	7746	638
0	8651	616

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

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

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

rewrite197.0ms (4.4%)

Memory

-9.6MiB live, 183.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	131
0	48	98
1	168	95
2	1173	93
0	8435	93

Stop Event

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

Counts

16 → 900

Calls

Call 1

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

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

eval161.0ms (3.6%)

Memory: 18.9MiB live, 226.6MiB allocated
Compiler: Compiled 31 767 to 2 990 computations (90.6% saved)

prune17.0ms (0.4%)

Memory

-34.9MiB live, 44.3MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	820	2	822
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	822	5	827

Accuracy

100.0%

Counts

827 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(/.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)))))
▶	53.7%	(-.f64 (.f64 x #s(approx (/ x (+ x 1/3)) (.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
✓	52.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 68 to 54 computations (20.6% saved)

simplify188.0ms (4.2%)

Memory

29.5MiB live, 223.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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))))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	#s(approx (/ x (+ x 1/3)) (*.f64 #s(literal 3 binary64) x))
cost-diff	0	(.f64 x #s(approx (/ x (+ x 1/3)) (.f64 #s(literal 3 binary64) x)))
cost-diff	0	(-.f64 (.f64 x #s(approx (/ x (+ x 1/3)) (.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	134
0	38	134
1	59	134
2	158	132
3	580	128
4	1813	124
5	3977	124
6	5180	124
7	6763	124
0	8066	124

Stop Event

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

Calls

Call 1

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

localize83.0ms (1.8%)

Memory

-20.4MiB live, 137.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0625	(*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
accuracy	0.52734375	(.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	26.03149670202392	(/.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	29.794676506478364	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
accuracy	0.01171875	(+.f64 x #s(literal 1/3 binary64))
accuracy	0.07421875	(.f64 x #s(approx (/ x (+ x 1/3)) (.f64 #s(literal 3 binary64) x)))
accuracy	0.1875	(/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))
accuracy	30.806069796803154	#s(approx (/ x (+ x 1/3)) (*.f64 #s(literal 3 binary64) x))

Samples

45.0ms	217×	0	valid
15.0ms	22×	2	valid
6.0ms	17×	1	valid

Compiler

Compiled 124 to 24 computations (80.6% saved)

Precisions

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

const: 17.0ms (34.8% of total)

ival-mult: 12.0ms (24.6% of total)

ival-div: 6.0ms (12.3% of total)

ival-sub: 4.0ms (8.2% of total)

ival-pow: 4.0ms (8.2% of total)

adjust: 3.0ms (6.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

11 → 68

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify204.0ms (4.5%)

Memory

23.3MiB live, 184.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	677
1	692	653
2	1991	631
3	7788	630
0	8660	608

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 67

Calls

Call 1

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

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

rewrite235.0ms (5.2%)

Memory

-0.6MiB live, 236.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	116
0	38	116
1	130	116
2	896	106
0	9116	105

Stop Event

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

Counts

11 → 585

Calls

Call 1

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

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

eval128.0ms (2.9%)

Memory: -3.6MiB live, 182.1MiB allocated
Compiler: Compiled 28 992 to 2 597 computations (91% saved)

prune12.0ms (0.3%)

Memory

5.7MiB live, 43.9MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	681	2	683
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	683	5	688

Accuracy

100.0%

Counts

688 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(/.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)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
▶	51.8%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
✓	52.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 89 to 65 computations (27% saved)

simplify206.0ms (4.6%)

Memory

-11.0MiB live, 199.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
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)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 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)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
cost-diff	0	(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))
cost-diff	0	#s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 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)) #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	165
0	37	165
1	58	165
2	150	161
3	569	157
4	1803	153
5	3950	153
6	5077	153
7	6485	153
0	8087	150

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

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

localize156.0ms (3.5%)

Memory

9.4MiB live, 138.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.52734375	(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
accuracy	26.03149670202392	(/.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)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
accuracy	29.794676506478364	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
accuracy	30.96515256177238	#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))
accuracy	0.40625	(*.f64 #s(literal -1/81 binary64) x)
accuracy	26.03149670202392	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))))
accuracy	29.794676506478364	#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
accuracy	30.55589229799498	#s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64)))

Samples

119.0ms

256×

valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-pow: 48.0ms (44.2% of total)

ival-mult: 28.0ms (25.8% of total)

const: 25.0ms (23% of total)

ival-sub: 4.0ms (3.7% of total)

ival-div: 2.0ms (1.8% of total)

ival-add: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory

-29.3MiB live, 7.7MiB allocated

Counts

9 → 39

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64)))
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 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)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 #s(literal -1/81 binary64) x)
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))

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

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

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

2.0ms

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

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

simplify260.0ms (5.8%)

Memory

9.8MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	363
1	410	356
2	1340	347
3	5351	347
0	8189	336

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

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

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

rewrite162.0ms (3.6%)

Memory

1.1MiB live, 157.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	141
0	37	141
1	128	141
2	832	129
0	8661	126

Stop Event

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

Counts

9 → 113

Calls

Call 1

Inputs
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
#s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64)))
(-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 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)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(.f64 (-.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64)))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 #s(literal -1/81 binary64) x)
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))

Outputs
(/.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))) (neg.f64 #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64)))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64))))
(neg.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) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64)))))
#s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64))
(neg.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) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64)))
(neg.f64 (neg.f64 #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/6561 binary64) (.f64 x x)) (fma.f64 #s(literal -1/81 binary64) x #s(literal 1/243 binary64))) (/.f64 (.f64 #s(literal 1/6561 binary64) (.f64 x x)) (fma.f64 #s(literal -1/81 binary64) x #s(literal 1/243 binary64)))) (.f64 (/.f64 #s(literal -1/59049 binary64) (fma.f64 #s(literal 1/81 binary64) x #s(literal -1/243 binary64))) (/.f64 #s(literal -1/59049 binary64) (fma.f64 #s(literal 1/81 binary64) x #s(literal -1/243 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/6561 binary64) (.f64 x x)) (fma.f64 #s(literal -1/81 binary64) x #s(literal 1/243 binary64))) (/.f64 #s(literal -1/59049 binary64) (fma.f64 #s(literal 1/81 binary64) x #s(literal -1/243 binary64)))))
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(/.f64 (.f64 (/.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 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/9 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 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.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 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (.f64 #s(literal 1 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))) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (.f64 #s(literal 1 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 #s(literal 1 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)))) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 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 (pow.f64 x #s(literal 6 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 1/729 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 #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 (pow.f64 x #s(literal 6 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 #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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))) (.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #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))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 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 (pow.f64 x #s(literal 6 binary64)) (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 #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 #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 (pow.f64 x #s(literal 6 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 #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 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)))) (neg.f64 (neg.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 (.f64 (pow.f64 x #s(literal 6 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 (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/729 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)))) (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/6561 binary64))) (neg.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/531441 binary64))) (neg.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 (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))) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.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 (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)))) (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 4 binary64)) #s(literal 1/81 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)) (fma.f64 x x #s(literal 1/9 binary64)))
(neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(fma.f64 (/.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 #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 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.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)))) (pow.f64 x #s(literal 4 binary64)) (.f64 (/.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 #s(literal 1/81 binary64) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(fma.f64 (-.f64 #s(literal 1/81 binary64) (.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 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (pow.f64 x #s(literal 4 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))))))
(fma.f64 (pow.f64 x #s(literal 4 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) (.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 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/6561 binary64) (.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 (pow.f64 x #s(literal 12 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)))) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 #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)))) (fma.f64 x x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.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 -1/6561 binary64) (+.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (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 1/531441 binary64) (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 (pow.f64 x #s(literal 6 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 #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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(-.f64 (*.f64 x x) #s(literal 1/9 binary64))
(+.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.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 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 4 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) (.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 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (/.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 #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 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.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)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.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 #s(literal 1/81 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))
(*.f64 #s(literal -1/81 binary64) x)
(*.f64 x #s(literal -1/81 binary64))
#s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))

eval74.0ms (1.7%)

Memory: 8.6MiB live, 62.5MiB allocated
Compiler: Compiled 7 257 to 684 computations (90.6% saved)

prune26.0ms (0.6%)

Memory

-26.6MiB live, 12.4MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	157	5	162

Accuracy

100.0%

Counts

162 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.3%	(/.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)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
	51.8%	(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (fma.f64 #s(literal -1/81 binary64) x #s(literal -1/243 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
✓	52.1%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 335 to 137 computations (59.1% saved)

regimes8.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(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)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (fma.f64 #s(literal -1/81 binary64) x #s(literal -1/243 binary64))))
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)) x))
(/.f64 #s(approx (* (- (* x x) 1/9) (- (pow x 4) 1/81)) #s(literal 1/729 binary64)) #s(approx (* (- (* x x) 1/9) (* (+ (* x x) 1/9) (+ x 1/3))) (-.f64 (*.f64 #s(literal -1/81 binary64) x) #s(literal 1/243 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)) #s(approx (* (+ (* x x) 1/9) (+ x 1/3)) #s(literal 1/27 binary64))))
(-.f64 (.f64 x #s(approx (/ x (+ x 1/3)) (.f64 #s(literal 3 binary64) x))) (/.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 #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:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify10.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	13	8
2	17	8
3	18	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))

soundness131.0ms (2.9%)

Memory

23.8MiB live, 93.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	25	4
2	110	4
3	815	4
0	8726	4
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 19 to 18 computations (5.3% saved)

preprocess84.0ms (1.9%)

Memory: -37.1MiB live, 50.5MiB allocated
Compiler: Compiled 30 to 28 computations (6.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (25.8%)

explain329.0ms (7.3%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.3%)

series1.0ms (0%)

simplify12.0ms (0.3%)

rewrite140.0ms (3.1%)

eval34.0ms (0.8%)

prune5.0ms (0.1%)

simplify108.0ms (2.4%)

localize116.0ms (2.6%)

series17.0ms (0.4%)

simplify178.0ms (4%)

rewrite197.0ms (4.4%)

eval161.0ms (3.6%)

prune17.0ms (0.4%)

simplify188.0ms (4.2%)

localize83.0ms (1.8%)

series5.0ms (0.1%)

simplify204.0ms (4.5%)

rewrite235.0ms (5.2%)

eval128.0ms (2.9%)

prune12.0ms (0.3%)

simplify206.0ms (4.6%)

localize156.0ms (3.5%)

series13.0ms (0.3%)

simplify260.0ms (5.8%)

rewrite162.0ms (3.6%)

eval74.0ms (1.7%)

prune26.0ms (0.6%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

simplify10.0ms (0.2%)

soundness131.0ms (2.9%)

preprocess84.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	16
1	27	16
2	54	16
3	96	16
4	227	16
5	299	16
6	356	16
7	424	16
8	459	15
9	480	15
0	480	15