Metrics for Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample510.0ms (41.6%)

Memory

13.2MiB live, 579.9MiB allocated; 110ms collecting garbage

Samples

284.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 66.0ms (49% of total)

ival-sub: 58.0ms (43.1% of total)

exact: 6.0ms (4.5% of total)

ival-assert: 3.0ms (2.2% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

explain55.0ms (4.5%)

Memory

-4.2MiB live, 46.7MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

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

32.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-sub: 3.0ms (41.5% of total)

ival-mult: 3.0ms (41.5% 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)

preprocess220.0ms (18%)

Memory

-20.6MiB live, 116.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	18	18
2	26	18
3	45	18
4	88	18
5	298	18
6	2471	16
7	6405	16
0	4	5
0	6	5
1	9	5
2	12	5
3	21	5
4	51	5
5	216	5
6	1799	5
7	5137	5
0	8310	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

series2.0ms (0.2%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Counts

4 → 10

Calls

Call 1

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

Outputs
#s(approx (* x (- x 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- x 1)) #s(hole binary64 (* x (- x 1))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (* x (- x 1)) #s(hole binary64 (pow x 2)))
#s(approx (* x (- x 1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))

Calls

3 calls:

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

rewrite143.0ms (11.7%)

Memory

8.4MiB live, 66.1MiB allocated; 121ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	98
0	28	96
1	82	96
0	528	96

Stop Event

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

Counts

14 → 26

Calls

Call 1

Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (- x 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- x 1)) #s(hole binary64 (* x (- x 1))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (* x (- x 1)) #s(hole binary64 (pow x 2)))
#s(approx (* x (- x 1)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))

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

eval3.0ms (0.2%)

Memory: 4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 278 to 71 computations (74.5% saved)

prune2.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Accuracy

100.0%

Counts

29 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.1%	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
✓	100.0%	(*.f64 x (-.f64 x #s(literal 1 binary64)))
▶	99.8%	(.f64 x #s(approx (- x 1) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
▶	51.8%	(*.f64 x #s(approx (- x 1) x))
▶	51.4%	#s(approx (* x (- x 1)) (neg.f64 x))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series6.0ms (0.5%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

16 → 38

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (pow x -1)) x) (- 1 (pow x -1)) 1 (pow x -1) -1 (/ (* (+ (* x x) -1) x) (- x -1)) (* (+ (* x x) -1) x) (+ (* x x) -1) (- x -1))
1.0ms	x	@	0	((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (pow x -1)) x) (- 1 (pow x -1)) 1 (pow x -1) -1 (/ (* (+ (* x x) -1) x) (- x -1)) (* (+ (* x x) -1) x) (+ (* x x) -1) (- x -1))
1.0ms	x	@	inf	((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (pow x -1)) x) (- 1 (pow x -1)) 1 (pow x -1) -1 (/ (* (+ (* x x) -1) x) (- x -1)) (* (+ (* x x) -1) x) (+ (* x x) -1) (- x -1))

Time

Variable

Point

Expression

3.0ms

-inf

((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (pow x -1)) x) (- 1 (pow x -1)) 1 (pow x -1) -1 (/ (* (+ (* x x) -1) x) (- x -1)) (* (+ (* x x) -1) x) (+ (* x x) -1) (- x -1))

1.0ms

((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (pow x -1)) x) (- 1 (pow x -1)) 1 (pow x -1) -1 (/ (* (+ (* x x) -1) x) (- x -1)) (* (+ (* x x) -1) x) (+ (* x x) -1) (- x -1))

1.0ms

inf

((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (pow x -1)) x) (- 1 (pow x -1)) 1 (pow x -1) -1 (/ (* (+ (* x x) -1) x) (- x -1)) (* (+ (* x x) -1) x) (+ (* x x) -1) (- x -1))

rewrite92.0ms (7.5%)

Memory

-45.9MiB live, 100.9MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	491
0	103	454
1	272	447
0	1792	447

Stop Event

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

Counts

54 → 244

Calls

Call 1

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

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

eval32.0ms (2.6%)

Memory: 6.1MiB live, 52.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 850 to 837 computations (78.3% saved)

prune4.0ms (0.4%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	254	1	255
Fresh	0	0	0
Picked	2	2	4
Done	1	0	1
Total	257	3	260

Accuracy

100.0%

Counts

260 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (neg.f64 x))
✓	51.8%	(*.f64 x #s(approx (- x 1) x))
✓	51.4%	#s(approx (* x (- x 1)) (neg.f64 x))

Compiler

Compiled 20 to 14 computations (30% saved)

series1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Counts

3 → 6

Calls

Call 1

Inputs
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x x) (neg x)) x (neg x))
0.0ms	x	@	inf	((+ (* x x) (neg x)) x (neg x))
0.0ms	x	@	0	((+ (* x x) (neg x)) x (neg x))

rewrite38.0ms (3.1%)

Memory

-2.3MiB live, 44.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	61
0	23	59
1	79	59
0	581	59

Stop Event

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

Counts

9 → 49

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (neg.f64 x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (neg.f64 x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (neg.f64 x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (neg.f64 x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x x (neg.f64 x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) x)
(-.f64 (neg.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x x))
x
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (+ (* x x) (neg x)) (neg.f64 x))
#s(approx (+ (* x x) (neg x)) (fma.f64 x x (neg.f64 x)))
#s(approx x x)
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (* x x) (neg x)) (*.f64 x x))
#s(approx (+ (* x x) (neg x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) x))

eval5.0ms (0.4%)

Memory: 9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 503 to 113 computations (77.5% saved)

prune3.0ms (0.3%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	53	3	56

Accuracy

100.0%

Counts

56 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (neg.f64 x))
✓	51.8%	(*.f64 x #s(approx (- x 1) x))
✓	51.4%	#s(approx (* x (- x 1)) (neg.f64 x))

Compiler

Compiled 68 to 36 computations (47.1% saved)

regimes6.0ms (0.5%)

Memory

-37.5MiB live, 9.5MiB allocated; 2ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f64 x x (neg.f64 x))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0.4%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(*.f64 x #s(approx (- x 1) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))

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

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes3.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(*.f64 x #s(approx (- x 1) x))

Outputs
#s(approx (* x (- x 1)) (neg.f64 x))
(*.f64 x #s(approx (- x 1) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`
98.3%	3	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (- x 1)) (neg.f64 x))

Outputs
#s(approx (* x (- x 1)) (neg.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001830799738144931	13085429.653921574

Compiler

Compiled 8 to 8 computations (0% saved)

simplify51.0ms (4.2%)

Memory

-8.8MiB live, 38.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	23	41
2	30	41
3	46	41
4	83	41
5	327	41
6	2920	41
7	7066	41

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (- x 1)) (neg.f64 x)) (*.f64 x #s(approx (- x 1) x)))
#s(approx (* x (- x 1)) (neg.f64 x))

Outputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx ( x (- x 1)) (neg.f64 x)) (*.f64 x #s(approx (- x 1) x)))
#s(approx (* x (- x 1)) (neg.f64 x))

derivations13.0ms (1.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 41 to 15 computations (63.4% saved)

preprocess27.0ms (2.2%)

Memory: -4.2MiB live, 44.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 102 to 44 computations (56.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample510.0ms (41.6%)

explain55.0ms (4.5%)

preprocess220.0ms (18%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0.2%)

rewrite143.0ms (11.7%)

eval3.0ms (0.2%)

prune2.0ms (0.2%)

series6.0ms (0.5%)

rewrite92.0ms (7.5%)

eval32.0ms (2.6%)

prune4.0ms (0.4%)

series1.0ms (0.1%)

rewrite38.0ms (3.1%)

eval5.0ms (0.4%)

prune3.0ms (0.3%)

regimes6.0ms (0.5%)

regimes4.0ms (0.4%)

regimes3.0ms (0.2%)

regimes2.0ms (0.2%)

bsearch0.0ms (0%)

simplify51.0ms (4.2%)

derivations13.0ms (1.1%)

preprocess27.0ms (2.2%)

end0.0ms (0%)

Profiling