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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample851.0ms (45.1%)

Memory

12.8MiB live, 744.7MiB allocated; 325ms collecting garbage

Samples

647.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-div: 202.0ms (68.1% of total)

ival-sub: 81.0ms (27.3% of total)

exact: 10.0ms (3.4% of total)

adjust: 2.0ms (0.7% of total)

ival-assert: 2.0ms (0.7% of total)

Bogosity

explain70.0ms (3.7%)

Memory

-8.3MiB live, 81.1MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-sub: 6.0ms (53.9% of total)

ival-div: 4.0ms (35.9% 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)

preprocess252.0ms (13.3%)

Memory

-11.2MiB live, 238.6MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	11	12
2	14	12
3	24	12
4	69	12
5	391	12
6	5020	12
0	5	3
0	8	3
1	10	3
2	13	3
3	21	3
4	47	3
5	183	3
6	1426	3
7	4404	3
0	8075	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 x #s(literal 1/3 binary64))

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

0.9MiB live, 0.9MiB 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)

series1.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Counts

5 → 6

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
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3)))
#s(approx x #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))

Calls

3 calls:

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

rewrite65.0ms (3.4%)

Memory

17.9MiB live, 64.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	55
0	25	50
1	78	50
0	486	50

Stop Event

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

Counts

11 → 18

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)
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3)))
#s(approx x #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))

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

eval2.0ms (0.1%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 161 to 50 computations (68.9% saved)

prune3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	13	5	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	5	19

Accuracy

100.0%

Counts

19 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.4%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
▶	53.8%	#s(approx (- x (/ 1 3)) x)
▶	46.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 86 to 74 computations (14% saved)

series13.0ms (0.7%)

Memory

-29.7MiB live, 17.3MiB allocated; 2ms collecting garbage

Counts

19 → 42

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

Outputs
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx x #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3)))
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 -1/3))
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (- x 1/3)))
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ -1/3 x)))
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ (- x 1/3) x)))
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x)))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3)))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x)))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (- x (/ 1 3)) #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 x))
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 1))
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (- 1 (* 1/3 (/ 1 x)))))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (- x (/ 1 3)) (* (- 1 (/ 1/3 x)) x) (- 1 (/ 1/3 x)) 1 (/ 1/3 x) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) (pow x 3) 3 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9)
3.0ms	x	@	-inf	((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (- x (/ 1 3)) (* (- 1 (/ 1/3 x)) x) (- 1 (/ 1/3 x)) 1 (/ 1/3 x) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) (pow x 3) 3 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9)
2.0ms	x	@	0	((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (- x (/ 1 3)) (* (- 1 (/ 1/3 x)) x) (- 1 (/ 1/3 x)) 1 (/ 1/3 x) (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) (pow x 3) 3 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9)

Time

Variable

Point

Expression

7.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite113.0ms (6%)

Memory

24.2MiB live, 162.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	582
0	112	487
1	395	487
0	3059	476

Stop Event

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

Counts

61 → 263

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

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

eval46.0ms (2.5%)

Memory: 12.7MiB live, 91.6MiB allocated; 29ms collecting garbage
Compiler: Compiled 4 579 to 799 computations (82.6% saved)

prune6.0ms (0.3%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	244	2	246
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	245	6	251

Accuracy

100.0%

Counts

251 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.6%	(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	99.8%	#s(approx (- x (/ 1 3)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x))
✓	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
✓	53.8%	#s(approx (- x (/ 1 3)) x)
✓	46.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 60 to 51 computations (15% saved)

series28.0ms (1.5%)

Memory

-46.7MiB live, 14.9MiB allocated; 27ms collecting garbage

Counts

14 → 37

Calls

Call 1

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

Outputs
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3)))
#s(approx (* (+ (* 1/3 (/ 1 (neg x))) 1) x) #s(hole binary64 -1/3))
#s(approx (* (+ (* 1/3 (/ 1 (neg x))) 1) x) #s(hole binary64 (- x 1/3)))
#s(approx (+ (* 1/3 (/ 1 (neg x))) 1) #s(hole binary64 (/ -1/3 x)))
#s(approx (+ (* 1/3 (/ 1 (neg x))) 1) #s(hole binary64 (/ (- x 1/3) x)))
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3)))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x)))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (- x (/ 1 3)) #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* 1/3 (/ 1 (neg x))) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/3 (/ 1 (neg x))) 1) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* 1/3 (/ 1 (neg x))) 1) #s(hole binary64 1))
#s(approx (+ (* 1/3 (/ 1 (neg x))) 1) #s(hole binary64 (- 1 (* 1/3 (/ 1 x)))))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x))))))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* 1/3 (/ 1 (neg x))) 1) x) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite117.0ms (6.2%)

Memory

5.6MiB live, 99.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	550
0	112	443
1	397	443
0	3185	421

Stop Event

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

Counts

51 → 200

Calls

Call 1

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

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

eval32.0ms (1.7%)

Memory: -12.6MiB live, 32.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 074 to 697 computations (82.9% saved)

prune4.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	199	3	202
Fresh	0	0	0
Picked	2	0	2
Done	1	3	4
Total	202	6	208

Accuracy

100.0%

Counts

208 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.9%	(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	99.9%	#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x))
▶	99.8%	#s(approx (- x (/ 1 3)) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
✓	53.8%	#s(approx (- x (/ 1 3)) x)
✓	46.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 75 to 62 computations (17.3% saved)

series5.0ms (0.3%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

18 → 42

Calls

Call 1

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

Outputs
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3)))
#s(approx (* (+ (* (/ -1 x) 1/3) 1) x) #s(hole binary64 -1/3))
#s(approx (* (+ (* (/ -1 x) 1/3) 1) x) #s(hole binary64 (- x 1/3)))
#s(approx (+ (* (/ -1 x) 1/3) 1) #s(hole binary64 (/ -1/3 x)))
#s(approx (+ (* (/ -1 x) 1/3) 1) #s(hole binary64 (/ (- x 1/3) x)))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3)))
#s(approx (+ (* (/ -1/3 x) x) x) #s(hole binary64 -1/3))
#s(approx (+ (* (/ -1/3 x) x) x) #s(hole binary64 (- x 1/3)))
#s(approx (/ -1/3 x) #s(hole binary64 (/ -1/3 x)))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x)))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (- x (/ 1 3)) #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* (/ -1 x) 1/3) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ -1 x) 1/3) 1) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (/ -1 x) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (/ -1 x) 1/3) 1) #s(hole binary64 (- 1 (* 1/3 (/ 1 x)))))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (/ -1/3 x) x) x) #s(hole binary64 x))
#s(approx (+ (* (/ -1/3 x) x) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x))))))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* (/ -1 x) 1/3) 1) x) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (+ (* (/ -1/3 x) x) x) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite149.0ms (7.9%)

Memory

-8.7MiB live, 127.3MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	650
0	115	508
1	416	454
0	3426	441

Stop Event

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

Counts

60 → 228

Calls

Call 1

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

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

eval22.0ms (1.2%)

Memory: -2.1MiB live, 42.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 913 to 636 computations (83.7% saved)

prune5.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	177	6	183

Accuracy

100.0%

Counts

183 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.9%	(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	99.9%	#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x))
✓	99.8%	#s(approx (- x (/ 1 3)) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
✓	53.8%	#s(approx (- x (/ 1 3)) x)
✓	46.6%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 211 to 115 computations (45.5% saved)

regimes7.0ms (0.4%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(-.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)

regimes7.0ms (0.4%)

Memory

-49.0MiB live, 9.6MiB allocated; 6ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
96.8%	3	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
96.8%	3	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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
46.6%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
46.6%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch26.0ms (1.4%)

Memory

-6.1MiB live, 38.6MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0912754148243154	35334.128480131054
10.0ms	-1773.0013433242002	-0.0019424177913049921

Samples

9.0ms

288×

valid

Compiler

Compiled 260 to 279 computations (-7.3% saved)

Precisions

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

ival-div: 2.0ms (47.5% of total)

ival-sub: 1.0ms (23.8% 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)

simplify38.0ms (2%)

Memory

7.7MiB live, 52.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	23	27
2	30	27
3	46	27
4	86	27
5	332	27
6	3174	27

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (- x (/ 1 3)) x)))

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

Outputs

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

(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) x) (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (- x (/ 1 3)) x)))

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

derivations4.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 39 to 16 computations (59% saved)

preprocess18.0ms (0.9%)

Memory: -10.8MiB live, 35.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 88 to 42 computations (52.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample851.0ms (45.1%)

explain70.0ms (3.7%)

preprocess252.0ms (13.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series1.0ms (0.1%)

rewrite65.0ms (3.4%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

series13.0ms (0.7%)

rewrite113.0ms (6%)

eval46.0ms (2.5%)

prune6.0ms (0.3%)

series28.0ms (1.5%)

rewrite117.0ms (6.2%)

eval32.0ms (1.7%)

prune4.0ms (0.2%)

series5.0ms (0.3%)

rewrite149.0ms (7.9%)

eval22.0ms (1.2%)

prune5.0ms (0.3%)

regimes7.0ms (0.4%)

regimes7.0ms (0.4%)

regimes2.0ms (0.1%)

bsearch26.0ms (1.4%)

simplify38.0ms (2%)

derivations4.0ms (0.2%)

preprocess18.0ms (0.9%)

end0.0ms (0%)

Profiling