Metrics for Statistics.Sample:$skurtosis from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze41.0ms (3.5%)

Memory

-24.3MiB live, 22.1MiB allocated; 9ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample682.0ms (59.4%)

Memory

15.1MiB live, 965.9MiB allocated; 187ms collecting garbage

Samples

433.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult!: 89.0ms (53.2% of total)

ival-div!: 40.0ms (23.9% of total)

ival-sub!: 38.0ms (22.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess7.0ms (0.6%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	54	43
2	119	42
3	198	42
4	250	42

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Symmetry

(abs y)

Compiler

Compiled 12 to 12 computations (0% saved)

series6.0ms (0.5%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

6 → 10

Calls

Call 1

Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	x	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	x	@	0	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	y	@	inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)
1.0ms	y	@	-inf	((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3)

rewrite60.0ms (5.2%)

Memory

0.5MiB live, 94.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
0	40	132
1	164	132
0	1124	131

Stop Event

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

Counts

16 → 49

Calls

Call 1

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

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

eval31.0ms (2.7%)

Memory: -40.1MiB live, 13.8MiB allocated; 30ms collecting garbage
Compiler: Compiled 294 to 153 computations (48% saved)

prune2.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Accuracy

99.9%

Counts

44 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	92.7%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	43.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	91.6%	#s(approx (- (/ x (* y y)) 3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
▶	51.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 43 to 43 computations (0% saved)

series12.0ms (1.1%)

Memory

26.0MiB live, 26.1MiB allocated; 0ms collecting garbage

Counts

17 → 31

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ x (* y y)) 3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (* (- (/ 1 (* y y)) (/ 3 x)) x) (- (/ 1 (* y y)) (/ 3 x)) (/ 1 (* y y)) 1 (* y y) y (/ 3 x) 3 x (- (/ x (* y y)) 3) (/ x (* y y)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y))
2.0ms	x	@	0	((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (* (- (/ 1 (* y y)) (/ 3 x)) x) (- (/ 1 (* y y)) (/ 3 x)) (/ 1 (* y y)) 1 (* y y) y (/ 3 x) 3 x (- (/ x (* y y)) 3) (/ x (* y y)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y))
2.0ms	x	@	-inf	((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (* (- (/ 1 (* y y)) (/ 3 x)) x) (- (/ 1 (* y y)) (/ 3 x)) (/ 1 (* y y)) 1 (* y y) y (/ 3 x) 3 x (- (/ x (* y y)) 3) (/ x (* y y)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y))
2.0ms	x	@	inf	((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (* (- (/ 1 (* y y)) (/ 3 x)) x) (- (/ 1 (* y y)) (/ 3 x)) (/ 1 (* y y)) 1 (* y y) y (/ 3 x) 3 x (- (/ x (* y y)) 3) (/ x (* y y)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y))
1.0ms	y	@	inf	((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (* (- (/ 1 (* y y)) (/ 3 x)) x) (- (/ 1 (* y y)) (/ 3 x)) (/ 1 (* y y)) 1 (* y y) y (/ 3 x) 3 x (- (/ x (* y y)) 3) (/ x (* y y)) (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y))

rewrite67.0ms (5.8%)

Memory

-26.3MiB live, 69.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	572
0	92	502
1	316	502
0	1793	498

Stop Event

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

Counts

48 → 183

Calls

Call 1

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

Outputs
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ (/ x y) y) 3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) x)
(.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x) #s(literal -1 binary64))
(.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x)
(.f64 x (.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 9 binary64) (.f64 x x))) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal -3 binary64) x)))
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y
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
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x
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eval18.0ms (1.6%)

Memory: -9.0MiB live, 37.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 385 to 658 computations (52.5% saved)

prune4.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	170	6	176

Accuracy

99.9%

Counts

176 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	92.7%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶	50.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	43.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
▶	42.7%	#s(approx (- (/ x (* y y)) 3) (.f64 #s(approx (- (/ 1 ( y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
✓	51.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 55 to 54 computations (1.8% saved)

series7.0ms (0.7%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

11 → 23

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) (.f64 #s(approx (- (/ 1 ( y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
(.f64 #s(approx (- (/ 1 ( y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)
#s(approx (- (/ 1 (* y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)

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

Calls

6 calls:

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

rewrite68.0ms (5.9%)

Memory

-20.1MiB live, 76.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	446
0	73	380
1	273	380
0	1750	377

Stop Event

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

Counts

34 → 84

Calls

Call 1

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

Outputs
#s(approx (- (/ x (* y y)) 3) (.f64 #s(approx (- (/ 1 ( y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
(.f64 #s(approx (- (/ 1 ( y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)
(.f64 x #s(approx (- (/ 1 ( y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
#s(approx (- (/ 1 (* y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (pow.f64 (.f64 y y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(pow.f64 (*.f64 y y) #s(literal -1 binary64))
(pow.f64 y #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))
#s(literal 1 binary64)
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
x
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
#s(approx (* (- (/ 1 (* y y)) (/ 3 x)) x) #s(literal -3 binary64))
#s(approx (* (- (/ 1 (* y y)) (/ 3 x)) x) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
#s(approx (- (/ 1 (* y y)) (/ 3 x)) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ 1 (* y y)) (/ 3 x)) (/.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) x))
#s(approx x x)
#s(approx (/ (/ x y) y) (/.f64 x (*.f64 y y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (* (- (/ 1 (* y y)) (/ 3 x)) x) (/.f64 x (*.f64 y y)))
#s(approx (* (- (/ 1 (* y y)) (/ 3 x)) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (- (/ 1 (* y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
#s(approx (- (/ 1 (* y y)) (/ 3 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 3 binary64) x)))
#s(approx (- (/ x (* y y)) 3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (* (- (/ 1 (* y y)) (/ 3 x)) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))
#s(approx (- (/ x (* y y)) 3) (/.f64 (fma.f64 (.f64 y y) #s(literal -3 binary64) x) (.f64 y y)))
#s(approx (* (- (/ 1 (* y y)) (/ 3 x)) x) (/.f64 (fma.f64 (.f64 y y) #s(literal -3 binary64) x) (.f64 y y)))
#s(approx (- (/ 1 (* y y)) (/ 3 x)) (/.f64 (fma.f64 (/.f64 (.f64 y y) x) #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (/ 1 (* y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)

eval6.0ms (0.6%)

Memory: 16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 514 to 320 computations (37.7% saved)

prune4.0ms (0.4%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	71	6	77

Accuracy

99.9%

Counts

77 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
✓	92.7%	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓	50.7%	#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
✓	43.6%	#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
✓	42.7%	#s(approx (- (/ x (* y y)) 3) (.f64 #s(approx (- (/ 1 ( y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
✓	51.5%	#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

Compiler

Compiled 99 to 84 computations (15.2% saved)

regimes13.0ms (1.1%)

Memory

-17.9MiB live, 29.1MiB allocated; 2ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (.f64 #s(approx (- (/ 1 ( y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x))

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

Calls

5 calls:

4.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(/.f64 x (*.f64 y y))
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 y y)`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes10.0ms (0.8%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (.f64 #s(approx (- (/ 1 ( y y)) (/ 3 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))

Outputs
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(/.f64 x (*.f64 y y))
2.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.7%	2	`(*.f64 y y)`
99.7%	3	`(/.f64 x (*.f64 y y))`
99.7%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
92.7%	1	`x`
99.7%	2	`y`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes8.0ms (0.7%)

Memory

-29.2MiB live, 17.3MiB allocated; 2ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))

Outputs
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))

Calls

4 calls:

3.0ms	y
2.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))
1.0ms	(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.0%	3	`(/.f64 x (*.f64 y y))`
99.0%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`
90.4%	2	`(*.f64 y y)`
90.4%	2	`y`

Compiler

Compiled 13 to 15 computations (-15.4% saved)

regimes4.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))

Outputs
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.5%	3	`x`
92.0%	3	`(/.f64 x (*.f64 y y))`
92.0%	3	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes5.0ms (0.4%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
51.5%	1	`x`
51.5%	1	`(*.f64 y y)`
51.5%	1	`y`
51.5%	1	`(/.f64 x (*.f64 y y))`
51.5%	1	`(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch16.0ms (1.4%)

Memory

-24.8MiB live, 24.6MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.467264618772967e-119	5.726864836579132e-116

Samples

4.0ms

128×

valid

Compiler

Compiled 130 to 147 computations (-13.1% saved)

Precisions

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

ival-mult!: 1.0ms (63.1% of total)

ival-div!: 1.0ms (63.1% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-3.0	164623474778103970.0
0.0ms	-785360270.0219529	-3.0002811424374625

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-3.0	164623474778103970.0
0.0ms	-785360270.0219529	-3.0002811424374625

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations19.0ms (1.7%)

Memory

-15.5MiB live, 31.1MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 39 to 28 computations (28.2% saved)

preprocess57.0ms (5%)

Memory: 13.8MiB live, 107.8MiB allocated; 7ms collecting garbage
Remove: (abs y)
Compiler: Compiled 201 to 174 computations (13.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze41.0ms (3.5%)

sample682.0ms (59.4%)

preprocess7.0ms (0.6%)

series6.0ms (0.5%)

rewrite60.0ms (5.2%)

eval31.0ms (2.7%)

prune2.0ms (0.2%)

series12.0ms (1.1%)

rewrite67.0ms (5.8%)

eval18.0ms (1.6%)

prune4.0ms (0.3%)

series7.0ms (0.7%)

rewrite68.0ms (5.9%)

eval6.0ms (0.6%)

prune4.0ms (0.4%)

regimes13.0ms (1.1%)

regimes10.0ms (0.8%)

regimes8.0ms (0.7%)

regimes4.0ms (0.3%)

regimes5.0ms (0.4%)

bsearch16.0ms (1.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations19.0ms (1.7%)

preprocess57.0ms (5%)

end0.0ms (0%)

Profiling