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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample483.0ms (38.5%)

Memory

16.4MiB live, 542.8MiB allocated; 115ms collecting garbage

Samples

295.0ms

8 256×

valid

Precisions

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

ival-sub!: 39.0ms (94.3% of total)

adjust: 2.0ms (4.8% of total)

Bogosity

explain100.0ms (8%)

Memory

-14.9MiB live, 79.3MiB allocated; 75ms 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

70.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub!: 2.0ms (111.2% of total)

adjust: 0.0ms (0% of total)

preprocess93.0ms (7.4%)

Memory

-13.1MiB live, 35.7MiB allocated; 10ms 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

Stop Event

1×	node-limit

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 10 to 10 computations (0% saved)

series1.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB 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)

rewrite67.0ms (5.4%)

Memory

13.3MiB live, 106.7MiB allocated; 6ms 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: 3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 146 to 49 computations (66.4% saved)

prune2.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	11	5	16

Accuracy

100.0%

Counts

16 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(/.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))
▶	52.4%	#s(approx (- x (/ 1 3)) x)
▶	49.9%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 86 to 74 computations (14% saved)

series7.0ms (0.6%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms 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
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)
2.0ms	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)

Time

Variable

Point

Expression

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)

2.0ms

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)

rewrite110.0ms (8.8%)

Memory

-34.9MiB live, 109.0MiB allocated; 12ms 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)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
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#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))))

eval48.0ms (3.8%)

Memory: -0.5MiB live, 45.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 322 to 794 computations (81.6% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	223	5	228

Accuracy

100.0%

Counts

228 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(/.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))
✓	99.9%	#s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
✓	52.4%	#s(approx (- x (/ 1 3)) x)
✓	49.9%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 45 to 39 computations (13.3% saved)

series3.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

8 → 21

Calls

Call 1

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

Outputs
#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 x #s(hole binary64 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 (/ (- (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 (/ (- (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	((/ (- (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)) x (+ (* 1/3 x) 1/9) 1/3 1/9)
1.0ms	x	@	inf	((/ (- (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)) x (+ (* 1/3 x) 1/9) 1/3 1/9)
1.0ms	x	@	0	((/ (- (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)) x (+ (* 1/3 x) 1/9) 1/3 1/9)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite114.0ms (9.1%)

Memory

11.8MiB live, 140.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	332
0	75	264
1	334	264
0	2902	252

Stop Event

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

Counts

29 → 119

Calls

Call 1

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

eval12.0ms (1%)

Memory: 23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 477 to 407 computations (83.6% saved)

prune4.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	114	4	118

Accuracy

100.0%

Counts

118 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.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))
✓	52.4%	#s(approx (- x (/ 1 3)) x)
✓	49.9%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 39 to 34 computations (12.8% saved)

series6.0ms (0.5%)

Memory

-37.7MiB live, 6.5MiB allocated; 4ms collecting garbage

Counts

8 → 21

Calls

Call 1

Inputs
(/.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 1/3 binary64)
x
#s(literal 1/9 binary64)

Outputs
#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 #s(hole binary64 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 (/ (- (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
4.0ms	x	@	inf	((/ (- (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) 1/3 x 1/9)
1.0ms	x	@	-inf	((/ (- (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) 1/3 x 1/9)
0.0ms	x	@	0	((/ (- (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) 1/3 x 1/9)

Time

Variable

Point

Expression

4.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

rewrite108.0ms (8.6%)

Memory

25.7MiB live, 130.0MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	355
0	72	282
1	331	274
0	2897	262

Stop Event

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

Counts

29 → 55

Calls

Call 1

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

eval8.0ms (0.7%)

Memory: -33.8MiB live, 11.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 246 to 205 computations (83.5% saved)

prune3.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	45	4	49

Accuracy

100.0%

Counts

49 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.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))
✓	52.4%	#s(approx (- x (/ 1 3)) x)
✓	49.9%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 124 to 73 computations (41.1% saved)

regimes5.0ms (0.4%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

8 → 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)))
(/.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))
(/.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))))
(/.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
2.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
98.9%	3	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
98.9%	3	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.2%)

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
49.9%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
49.9%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch20.0ms (1.6%)

Memory

-15.5MiB live, 31.2MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.6863610841665176e-7	0.7230844297704999
11.0ms	-731563.5952644432	-2.910292793914227e-10

Samples

6.0ms

304×

valid

Compiler

Compiled 274 to 294 computations (-7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sub!: 1.0ms (93.4% of total)

adjust: 0.0ms (0% of total)

derivations5.0ms (0.4%)

Memory

8.4MiB live, 8.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 39 to 16 computations (59% saved)

preprocess42.0ms (3.4%)

Memory: -29.6MiB live, 28.3MiB allocated; 38ms 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%)

sample483.0ms (38.5%)

explain100.0ms (8%)

preprocess93.0ms (7.4%)

series1.0ms (0.1%)

rewrite67.0ms (5.4%)

eval2.0ms (0.1%)

prune2.0ms (0.2%)

series7.0ms (0.6%)

rewrite110.0ms (8.8%)

eval48.0ms (3.8%)

prune4.0ms (0.3%)

series3.0ms (0.2%)

rewrite114.0ms (9.1%)

eval12.0ms (1%)

prune4.0ms (0.3%)

series6.0ms (0.5%)

rewrite108.0ms (8.6%)

eval8.0ms (0.7%)

prune3.0ms (0.2%)

regimes5.0ms (0.4%)

regimes3.0ms (0.2%)

regimes2.0ms (0.2%)

bsearch20.0ms (1.6%)

derivations5.0ms (0.4%)

preprocess42.0ms (3.4%)

end0.0ms (0%)

Profiling