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

0.6MiB live, 0.6MiB 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)

sample588.0ms (57%)

Memory

10.2MiB live, 680.2MiB allocated; 276ms collecting garbage

Samples

407.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult!: 166.0ms (85.1% of total)

ival-sub!: 28.0ms (14.3% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess105.0ms (10.2%)

Memory

-21.8MiB live, 24.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	19	18
2	30	18
3	64	18
4	251	16
5	2255	16

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 8 computations (0% saved)

series2.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB 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)

rewrite63.0ms (6.1%)

Memory

8.1MiB live, 64.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	98
0	29	96
1	83	96
0	529	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 (fma.f64 (.f64 x x) x #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 (fma.f64 (.f64 x x) x #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 (fma.f64 (*.f64 x x) x #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 (fma.f64 (*.f64 x x) x #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 (.f64 (.f64 x x) x) (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) (/.f64 #s(literal 1 binary64) x)) x) x))
#s(approx (- x 1) x)
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- x 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))

eval2.0ms (0.2%)

Memory: 2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 116 to 68 computations (41.4% saved)

prune2.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Accuracy

100.0%

Counts

23 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(/.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)))
▶	99.9%	(.f64 x #s(approx (- x 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
▶	49.7%	(*.f64 x #s(approx (- x 1) x))
▶	53.0%	#s(approx (* x (- x 1)) (neg.f64 x))

Compiler

Compiled 30 to 30 computations (0% saved)

series6.0ms (0.6%)

Memory

8.2MiB live, 8.2MiB 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) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.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))
#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 (/ 1 x)) x) #s(hole binary64 -1))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (- x 1)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (/ 1 x) #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 (/ 1 x)) x) #s(hole binary64 x))
#s(approx (* (- 1 (/ 1 x)) x) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 1))
#s(approx (- 1 (/ 1 x)) #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 (/ 1 x)) 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
2.0ms	x	@	-inf	((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (/ 1 x)) x) (- 1 (/ 1 x)) 1 (/ 1 x) (/ (* (+ (* x x) -1) x) (- x -1)) (* (+ (* x x) -1) x) (+ (* x x) -1) -1 (- x -1))
1.0ms	x	@	0	((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (/ 1 x)) x) (- 1 (/ 1 x)) 1 (/ 1 x) (/ (* (+ (* x x) -1) x) (- x -1)) (* (+ (* x x) -1) x) (+ (* x x) -1) -1 (- x -1))
1.0ms	x	@	inf	((* x (- x 1)) (neg x) x (* x (- x 1)) (- x 1) (* x (- x 1)) (- x 1) (* (- 1 (/ 1 x)) x) (- 1 (/ 1 x)) 1 (/ 1 x) (/ (* (+ (* x x) -1) x) (- x -1)) (* (+ (* x x) -1) x) (+ (* x x) -1) -1 (- x -1))

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite80.0ms (7.7%)

Memory

-25.6MiB live, 64.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	491
0	101	454
1	257	447
0	1717	447

Stop Event

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

Counts

54 → 227

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

eval18.0ms (1.8%)

Memory: 41.8MiB live, 41.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 453 to 716 computations (50.7% saved)

prune7.0ms (0.7%)

Memory

-31.9MiB live, 11.0MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	209	4	213

Accuracy

100.0%

Counts

213 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x x) x)
✓	100.0%	(*.f64 x (-.f64 x #s(literal 1 binary64)))
✓	49.7%	(*.f64 x #s(approx (- x 1) x))
✓	53.0%	#s(approx (* x (- x 1)) (neg.f64 x))

Compiler

Compiled 18 to 18 computations (0% saved)

series1.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

3 → 6

Calls

Call 1

Inputs
(-.f64 (*.f64 x x) x)
(*.f64 x x)
x

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

Calls

3 calls:

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

rewrite99.0ms (9.6%)

Memory

-4.7MiB live, 100.2MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	63
0	22	62
1	78	62
0	552	62

Stop Event

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

Counts

9 → 37

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (fma.f64 x x x)))))
(/.f64 (.f64 (fma.f64 x x x) (-.f64 (.f64 x x) x)) (fma.f64 x x x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (fma.f64 x x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (.f64 x x) (fma.f64 x x x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (fma.f64 x x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 x (fma.f64 x x x)))))
(-.f64 (*.f64 x x) x)
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(approx (- (* x x) x) (neg.f64 x))
#s(approx (- (* x x) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (* x x) x) (*.f64 x x))
#s(approx (- (* x x) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x))

eval3.0ms (0.3%)

Memory: 9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 198 to 103 computations (48% saved)

prune2.0ms (0.2%)

Memory

3.7MiB live, 3.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	34	4	38

Accuracy

100.0%

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) x)
✓	100.0%	(*.f64 x (-.f64 x #s(literal 1 binary64)))
✓	49.7%	(*.f64 x #s(approx (- x 1) x))
✓	53.0%	#s(approx (* x (- x 1)) (neg.f64 x))

Compiler

Compiled 43 to 41 computations (4.7% saved)

regimes5.0ms (0.5%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms 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)))
(-.f64 (*.f64 x x) x)
(.f64 x #s(approx (- x 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))

Outputs
(-.f64 (*.f64 x x) 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 5 to 5 computations (0% saved)

regimes3.0ms (0.3%)

Memory

8.2MiB live, 8.2MiB 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:

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0.4%)

Memory

-38.3MiB live, 7.9MiB allocated; 2ms 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:

2.0ms	x
1.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.6%	2	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`
97.6%	3	`x`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes2.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB 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
53.0%	1	`x`
53.0%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 5 to 5 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014412902972086913	77976.4914239355

Compiler

Compiled 7 to 8 computations (-14.3% saved)

derivations15.0ms (1.5%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 16 computations (5.9% saved)

preprocess23.0ms (2.3%)

Memory: 17.3MiB live, 63.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 21 to 20 computations (4.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample588.0ms (57%)

preprocess105.0ms (10.2%)

series2.0ms (0.2%)

rewrite63.0ms (6.1%)

eval2.0ms (0.2%)

prune2.0ms (0.2%)

series6.0ms (0.6%)

rewrite80.0ms (7.7%)

eval18.0ms (1.8%)

prune7.0ms (0.7%)

series1.0ms (0.1%)

rewrite99.0ms (9.6%)

eval3.0ms (0.3%)

prune2.0ms (0.2%)

regimes5.0ms (0.5%)

regimes3.0ms (0.3%)

regimes4.0ms (0.4%)

regimes2.0ms (0.2%)

bsearch0.0ms (0%)

derivations15.0ms (1.5%)

preprocess23.0ms (2.3%)

end0.0ms (0%)

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