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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

sample963.0ms (25.7%)

Memory

14.3MiB live, 990.3MiB allocated; 349ms collecting garbage

Samples

588.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 336.0ms

ival-div: 262.0ms (78% of total)

ival-add: 56.0ms (16.7% of total)

exact: 7.0ms (2.1% of total)

ival-true: 5.0ms (1.5% of total)

adjust: 3.0ms (0.9% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain111.0ms (2.9%)

Memory

6.5MiB live, 95.1MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

68.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (54.1% of total)

ival-add: 2.0ms (27% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess317.0ms (8.4%)

Memory

-12.1MiB live, 172.2MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	15	7
2	26	7
3	39	7
4	104	7
5	607	6
6	5496	6
0	5	3
0	8	3
1	11	3
2	14	3
3	22	3
4	48	3
5	184	3
6	1427	3
7	4378	3
0	8048	3

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

simplify199.0ms (5.3%)

Memory

6.4MiB live, 198.2MiB allocated; 41ms collecting garbage

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	8	7
1	11	7
2	14	7
3	22	7
4	48	7
5	184	7
6	1427	7
7	4378	7
0	8048	7

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (1.4%)

Memory

10.5MiB live, 61.8MiB allocated; 30ms collecting garbage

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: 4.0ms

ival-div: 2.0ms (54.3% of total)

ival-add: 1.0ms (27.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

simplify251.0ms (6.7%)

Memory

-19.6MiB live, 196.8MiB allocated; 154ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	26	8
2	70	8
3	208	8
4	1173	8
5	6388	8
0	8323	8

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 3

Calls

Call 1

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

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

rewrite91.0ms (2.4%)

Memory

6.0MiB live, 152.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	26	4
2	140	4
0	1229	4

Stop Event

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

Counts

2 → 51

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

eval29.0ms (0.8%)

Memory: -43.9MiB live, 10.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 078 to 181 computations (83.2% saved)

prune8.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Accuracy

100.0%

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.6%	(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
▶	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
▶	66.6%	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))))
▶	100.0%	(+.f64 x #s(literal 1/3 binary64))
▶	52.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 126 to 74 computations (41.3% saved)

simplify245.0ms (6.5%)

Memory

52.2MiB live, 273.6MiB allocated; 48ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
cost-diff	0	(/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	8	(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	5	(-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
cost-diff	8	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(+.f64 x #s(literal 1/3 binary64))
cost-diff	0	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
cost-diff	4	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	153
0	42	144
1	74	128
2	226	126
3	929	126
4	3296	126
0	8037	123

Stop Event

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

Calls

Call 1

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

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

localize160.0ms (4.3%)

Memory

-3.4MiB live, 187.5MiB allocated; 26ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
accuracy	0.10546875	(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	16.354410148406583	(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
accuracy	16.493902123762435	(/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	0.025722509768442016	(*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.14453125	(.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.16796875	(*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
accuracy	20.728863479827584	(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.01171875	(+.f64 x #s(literal 1/3 binary64))
accuracy	30.63647503485006	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
accuracy	0.00390625	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
accuracy	0.015625	(-.f64 x #s(literal 1/3 binary64))
accuracy	0.19140625	(/.f64 x (-.f64 x #s(literal 1/3 binary64)))
accuracy	0.1953125	(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))

Samples

113.0ms	211×	0	valid
18.0ms	23×	2	valid
11.0ms	22×	1	valid

Compiler

Compiled 162 to 29 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 56.0ms (45% of total)

ival-div: 34.0ms (27.3% of total)

const: 15.0ms (12.1% of total)

ival-add: 9.0ms (7.2% of total)

adjust: 6.0ms (4.8% of total)

ival-sub: 3.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.5%)

Memory

-24.0MiB live, 58.0MiB allocated; 15ms collecting garbage

Counts

16 → 73

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (- x 1/3) (/ -1/9 (- x 1/3)) (+ x (/ 1 3)) (+ x 1/3) (/ (- (* (* x x) (- x 1/3)) (* (- x 1/3) 1/9)) (* (- x 1/3) (- x 1/3))) (- (* (* x x) (- x 1/3)) (* (- x 1/3) 1/9)) (* (* x x) (- x 1/3)) (* x x) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) (* (- x 1/3) 1/9) (* (- x 1/3) (- x 1/3)) (/ 1/27 (+ (* x (- x 1/3)) 1/9)))
6.0ms	x	@	-inf	((+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (- x 1/3) (/ -1/9 (- x 1/3)) (+ x (/ 1 3)) (+ x 1/3) (/ (- (* (* x x) (- x 1/3)) (* (- x 1/3) 1/9)) (* (- x 1/3) (- x 1/3))) (- (* (* x x) (- x 1/3)) (* (- x 1/3) 1/9)) (* (* x x) (- x 1/3)) (* x x) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) (* (- x 1/3) 1/9) (* (- x 1/3) (- x 1/3)) (/ 1/27 (+ (* x (- x 1/3)) 1/9)))
5.0ms	x	@	inf	((+ (* x (/ x (- x 1/3))) (/ -1/9 (- x 1/3))) (/ x (- x 1/3)) (- x 1/3) (/ -1/9 (- x 1/3)) (+ x (/ 1 3)) (+ x 1/3) (/ (- (* (* x x) (- x 1/3)) (* (- x 1/3) 1/9)) (* (- x 1/3) (- x 1/3))) (- (* (* x x) (- x 1/3)) (* (- x 1/3) 1/9)) (* (* x x) (- x 1/3)) (* x x) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) (* (- x 1/3) 1/9) (* (- x 1/3) (- x 1/3)) (/ 1/27 (+ (* x (- x 1/3)) 1/9)))

Time

Variable

Point

Expression

7.0ms

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

6.0ms

-inf

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

5.0ms

inf

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

simplify209.0ms (5.6%)

Memory

0.7MiB live, 261.7MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	678
1	768	657
2	2487	630
0	8290	603

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

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

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

rewrite233.0ms (6.2%)

Memory

-8.0MiB live, 266.4MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	42	129
1	154	90
2	1285	90
0	8976	89

Stop Event

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

Counts

16 → 1 011

Calls

Call 1

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

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

eval269.0ms (7.2%)

Memory: 32.7MiB live, 454.9MiB allocated; 73ms collecting garbage
Compiler: Compiled 40 721 to 3 549 computations (91.3% saved)

prune28.0ms (0.7%)

Memory

-14.3MiB live, 88.3MiB allocated; 18ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 209	1	1 210
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 211	4	1 215

Accuracy

100.0%

Counts

1 215 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
✓	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
✓	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	52.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify12.0ms (0.3%)

Memory

24.6MiB live, 24.7MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
0	24	64
1	35	64
2	72	64
3	154	64
4	237	64
5	252	64
6	263	64
7	265	64
8	267	64
9	275	64
10	280	64
0	280	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (1.5%)

Memory

-21.9MiB live, 119.7MiB allocated; 25ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
accuracy	0.10546875	(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	16.354410148406583	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
accuracy	30.492387304276498	#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))

Samples

44.0ms	247×	0	valid
1.0ms	6×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 64 to 16 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

const: 14.0ms (36.6% of total)

ival-mult: 11.0ms (28.8% of total)

ival-div: 9.0ms (23.5% of total)

ival-add: 2.0ms (5.2% of total)

adjust: 1.0ms (2.6% of total)

ival-sub: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

6 → 29

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify168.0ms (4.5%)

Memory

15.3MiB live, 202.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	285
1	388	279
2	1269	269
3	6209	269
0	8027	258

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

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

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

rewrite112.0ms (3%)

Memory

-21.1MiB live, 66.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
0	24	56
1	80	56
0	549	56

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 62

Calls

Call 1

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

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

eval10.0ms (0.3%)

Memory: 17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 975 to 312 computations (89.5% saved)

prune5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	83	4	87

Accuracy

100.0%

Counts

87 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.9%	(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
✓	100.0%	(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
✓	100.0%	(+.f64 x #s(literal 1/3 binary64))
✓	52.1%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 140 to 74 computations (47.1% saved)

regimes74.0ms (2%)

Memory

-32.5MiB live, 11.4MiB allocated; 8ms collecting garbage

Counts

7 → 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)))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
(fma.f64 (.f64 x x) #s(approx (/ x (+ ( x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))

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

Calls

2 calls:

71.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms	x

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

3 → 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)))

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

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

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	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
52.1%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

simplify48.0ms (1.3%)

Memory

-21.0MiB live, 48.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	18	20
2	25	20
3	41	20
4	83	20
5	333	20
6	3255	20

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations53.0ms (1.4%)

Memory

-11.3MiB live, 34.4MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess18.0ms (0.5%)

Memory: 9.3MiB live, 54.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 54 to 36 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	16	64
0	24	64
1	35	64
2	72	64
3	154	64
4	237	64
5	252	64
6	263	64
7	265	64
8	267	64
9	275	64
10	280	64
0	280	64

Iter	Nodes	Cost
0	16	64
0	24	64
1	35	64
2	72	64
3	154	64
4	237	64
5	252	64
6	263	64
7	265	64
8	267	64
9	275	64
10	280	64
0	280	64

start0.0ms (0%)

analyze0.0ms (0%)

sample963.0ms (25.7%)

explain111.0ms (2.9%)

preprocess317.0ms (8.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify199.0ms (5.3%)

localize53.0ms (1.4%)

series1.0ms (0%)

simplify251.0ms (6.7%)

rewrite91.0ms (2.4%)

eval29.0ms (0.8%)

prune8.0ms (0.2%)

simplify245.0ms (6.5%)

localize160.0ms (4.3%)

series19.0ms (0.5%)

simplify209.0ms (5.6%)

rewrite233.0ms (6.2%)

eval269.0ms (7.2%)

prune28.0ms (0.7%)

simplify12.0ms (0.3%)

localize57.0ms (1.5%)

series4.0ms (0.1%)

simplify168.0ms (4.5%)

rewrite112.0ms (3%)

eval10.0ms (0.3%)

prune5.0ms (0.1%)

regimes74.0ms (2%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

simplify48.0ms (1.3%)

derivations53.0ms (1.4%)

preprocess18.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	64
0	24	64
1	35	64
2	72	64
3	154	64
4	237	64
5	252	64
6	263	64
7	265	64
8	267	64
9	275	64
10	280	64
0	280	64