Metrics for Linear.Quaternion:$ctan from linear-1.19.1.3

start0.0ms (0%)

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

analyze135.0ms (5.1%)

Memory

-27.1MiB live, 138.9MiB allocated; 190ms 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
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
82%	81.9%	17.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample738.0ms (27.6%)

Memory

50.6MiB live, 1 027.8MiB allocated; 155ms collecting garbage

Samples

500.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-cosh: 150.0ms (53.2% of total)

ival-div!: 96.0ms (34.1% of total)

ival-mult!: 35.0ms (12.4% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess57.0ms (2.1%)

Memory

-36.0MiB live, 63.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	83
1	127	83
2	644	83
3	4497	83

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.5%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Symmetry

(negabs x)

(negabs y)

(negabs z)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series98.0ms (3.7%)

Memory

24.5MiB live, 117.4MiB allocated; 8ms collecting garbage

Counts

7 → 18

Calls

Call 1

Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
x
(/.f64 y x)
y
z

Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (.f64 #s(literal 1/2 binary64) (/.f64 y z))) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y z) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))))) (/.f64 y z)) x))
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
#s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) x))
#s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y)))) x))
#s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/24 binary64) y)))))) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx x x)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z))))
#s(approx (* (cosh x) (/ y x)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x)))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx y y)
#s(approx z z)

Calls

9 calls:

Time	Variable	Point
4.0ms	x	-inf
4.0ms	y	-inf
3.0ms	x	inf
2.0ms	y	0
2.0ms	y	inf

rewrite157.0ms (5.9%)

Memory

-9.8MiB live, 162.5MiB allocated; 52ms collecting garbage

Counts

7 → 16

Calls

Call 1

Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
x
(/.f64 y x)
y
z

Outputs
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) (neg.f64 z))
(*.f64 (cosh.f64 x) (/.f64 y x))
(*.f64 (/.f64 y x) (cosh.f64 x))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(cosh.f64 x)
(cosh.f64 (neg.f64 x))
x
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))
y
z

eval3.0ms (0.1%)

Memory: 3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 462 to 139 computations (69.9% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	8	28

Accuracy

100.0%

Counts

28 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
✓	85.5%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
▶	85.4%	(/.f64 (.f64 (cosh.f64 x) (.f64 y (/.f64 #s(literal 1 binary64) x))) z)
▶	51.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	85.4%	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
	83.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z)) x))
▶	51.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
	85.1%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z))))

Compiler

Compiled 210 to 161 computations (23.3% saved)

series95.0ms (3.5%)

Memory

26.2MiB live, 73.4MiB allocated; 19ms collecting garbage

Counts

21 → 25

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
(/.f64 (*.f64 (cosh.f64 x) y) x)
(*.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
(/.f64 y (*.f64 x z))
(*.f64 x z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
(/.f64 y x)
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (cosh.f64 x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(/.f64 (.f64 (cosh.f64 x) (.f64 y (/.f64 #s(literal 1 binary64) x))) z)
(.f64 (cosh.f64 x) (.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)

Outputs
#s(approx (/ (/ (* (cosh x) y) x) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (/ (* (cosh x) y) x) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z)) x))
#s(approx (/ (/ (* (cosh x) y) x) z) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (.f64 #s(literal 1/2 binary64) (/.f64 y z))) (/.f64 y z)) x))
#s(approx (/ (/ (* (cosh x) y) x) z) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y z) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))))) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) y) x) (/.f64 y x))
#s(approx (/ (* (cosh x) y) x) (/.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) x))
#s(approx (/ (* (cosh x) y) x) (/.f64 (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y)))) x))
#s(approx (/ (* (cosh x) y) x) (/.f64 (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/24 binary64) y)))))) x))
#s(approx (* (cosh x) y) y)
#s(approx (* (cosh x) y) (+.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (* (cosh x) y) (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* (cosh x) y) (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/24 binary64) y)))))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx x x)
#s(approx (* x z) (*.f64 x z))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (/ (* (cosh x) y) x) z) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z))))
#s(approx (/ (* (cosh x) y) x) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x)))
#s(approx (* (cosh x) y) (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx z z)
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))

Calls

9 calls:

Time	Variable	Point
5.0ms	y	-inf
3.0ms	x	-inf
2.0ms	y	inf
2.0ms	z	-inf
2.0ms	x	inf

rewrite202.0ms (7.6%)

Memory

-24.0MiB live, 92.6MiB allocated; 74ms collecting garbage

Counts

21 → 77

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
(/.f64 (*.f64 (cosh.f64 x) y) x)
(*.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
y
z
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
(/.f64 y (*.f64 x z))
(*.f64 x z)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
(/.f64 y x)
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (cosh.f64 x) (/.f64 y x))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(/.f64 (.f64 (cosh.f64 x) (.f64 y (/.f64 #s(literal 1 binary64) x))) z)
(.f64 (cosh.f64 x) (.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)

Outputs
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (cosh.f64 x) (/.f64 y x)))
(.f64 (cosh.f64 x) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) (neg.f64 z))
(*.f64 (cosh.f64 x) (/.f64 y x))
(*.f64 (/.f64 y x) (cosh.f64 x))
(.f64 (.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 x))
(*.f64 (cosh.f64 x) y)
(*.f64 y (cosh.f64 x))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(cosh.f64 x)
(cosh.f64 (neg.f64 x))
x
y
z
#s(approx (* (cosh x) (/ y (* x z))) (/.f64 y (*.f64 x z)))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x z)))
(*.f64 x z)
(*.f64 z x)
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 y x)
(/.f64 (*.f64 y #s(literal 1 binary64)) x)
(/.f64 (neg.f64 y) (neg.f64 x))
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (cosh.f64 x) (/.f64 y x)))
(.f64 (cosh.f64 x) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) (neg.f64 z))
(*.f64 (cosh.f64 x) (/.f64 y x))
(*.f64 (/.f64 y x) (cosh.f64 x))
(.f64 (.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(pow.f64 z #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (cosh.f64 x) (/.f64 y x)))
(.f64 (cosh.f64 x) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (.f64 (.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) (neg.f64 z))
(*.f64 (cosh.f64 x) (/.f64 y x))
(*.f64 (/.f64 y x) (cosh.f64 x))
(.f64 (.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 y x)
(/.f64 (*.f64 y #s(literal 1 binary64)) x)
(/.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))

eval10.0ms (0.4%)

Memory: -28.2MiB live, 17.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 293 to 296 computations (77.1% saved)

prune5.0ms (0.2%)

Memory

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

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	2	0	2
Picked	2	3	5
Done	1	0	1
Total	81	9	90

Accuracy

100.0%

Counts

90 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
▶	85.1%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
✓	51.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	51.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
▶	51.7%	(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
▶	78.1%	(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
	83.0%	#s(approx (/ (/ (* (cosh x) y) x) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z)) x))
✓	51.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
▶	50.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))

Compiler

Compiled 196 to 152 computations (22.4% saved)

series109.0ms (4.1%)

Memory

23.8MiB live, 70.1MiB allocated; 10ms collecting garbage

Counts

22 → 26

Calls

Call 1

Inputs
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(*.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
y
(*.f64 x z)
z
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
#s(literal 1 binary64)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x))
#s(approx (cosh x) #s(literal 1 binary64))
(/.f64 y x)
(/.f64 #s(literal 1 binary64) z)
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 y (*.f64 x z))

Outputs
#s(approx (/ (* (cosh x) y) (* x z)) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) y) (* x z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) y) (* x z)) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (.f64 #s(literal 1/2 binary64) (/.f64 y z))) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) y) (* x z)) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y z) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))))) (/.f64 y z)) x))
#s(approx (* (cosh x) y) y)
#s(approx (* (cosh x) y) (+.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (* (cosh x) y) (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y)))))
#s(approx (* (cosh x) y) (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/24 binary64) y)))))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx x x)
#s(approx (* x z) (*.f64 x z))
#s(approx (/ 1 (* x z)) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
#s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) x))
#s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y)))) x))
#s(approx (* (cosh x) (/ y x)) (/.f64 (+.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) y (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 1/24 binary64) y)))))) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (* (cosh x) y) (* x z)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z))))
#s(approx (* (cosh x) y) (.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (* (cosh x) (/ y x)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x)))
#s(approx z z)
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))

Calls

9 calls:

Time	Variable	Point
17.0ms	z	-inf
3.0ms	x	-inf
2.0ms	y	-inf
2.0ms	x	inf
2.0ms	y	inf

rewrite146.0ms (5.5%)

Memory

-23.8MiB live, 71.1MiB allocated; 21ms collecting garbage

Counts

22 → 78

Calls

Call 1

Inputs
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(*.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
y
(*.f64 x z)
z
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
#s(literal 1 binary64)
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x))
#s(approx (cosh x) #s(literal 1 binary64))
(/.f64 y x)
(/.f64 #s(literal 1 binary64) z)
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 y (*.f64 x z))

Outputs
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(.f64 (.f64 (/.f64 y x) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(.f64 (cosh.f64 x) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) (cosh.f64 x)))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z)
(/.f64 (.f64 (.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (*.f64 (/.f64 y x) (cosh.f64 x))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (cosh.f64 x) y)) (neg.f64 (.f64 x z)))
(*.f64 (cosh.f64 x) y)
(*.f64 y (cosh.f64 x))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(cosh.f64 x)
(cosh.f64 (neg.f64 x))
x
y
(*.f64 x z)
(*.f64 z x)
z
#s(approx (* (cosh x) (/ y (* x z))) (/.f64 y (*.f64 x z)))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
(/.f64 y (*.f64 x z))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x z)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x z)))
(pow.f64 (*.f64 x z) #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (* (cosh x) (/ y x)) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(/.f64 (*.f64 #s(literal 1 binary64) y) x)
(/.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x))
#s(approx (cosh x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(/.f64 (*.f64 #s(literal 1 binary64) y) x)
(/.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(pow.f64 z #s(literal -1 binary64))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(.f64 (.f64 (/.f64 y x) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(.f64 (cosh.f64 x) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 y x) (cosh.f64 x)))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z)
(/.f64 (.f64 (.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (*.f64 (/.f64 y x) (cosh.f64 x))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (cosh.f64 x) y)) (neg.f64 (.f64 x z)))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
(/.f64 y (*.f64 x z))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x z)))

eval7.0ms (0.3%)

Memory: 14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 291 to 284 computations (78% saved)

prune5.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	0	1
Picked	0	5	5
Done	0	3	3
Total	79	10	89

Accuracy

100.0%

Counts

89 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
✓	85.1%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
✓	51.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
✓	51.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
▶	91.5%	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
✓	51.7%	(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
✓	78.1%	(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
✓	51.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
▶	50.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
✓	50.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))

Compiler

Compiled 116 to 92 computations (20.7% saved)

series85.0ms (3.2%)

Memory

-4.1MiB live, 89.2MiB allocated; 7ms collecting garbage

Counts

12 → 20

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z))
y
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
z
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
(/.f64 y z)

Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (.f64 #s(literal 1/2 binary64) (/.f64 y z))) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y z) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))))) (/.f64 y z)) x))
#s(approx (/ (/ 1 x) z) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ (cosh x) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
#s(approx (/ (cosh x) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
#s(approx (/ (cosh x) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z))))
#s(approx (/ (cosh x) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) x)))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx y y)
#s(approx (/ y z) (/.f64 y z))
#s(approx z z)

Calls

9 calls:

Time	Variable	Point
3.0ms	y	inf
2.0ms	x	-inf
2.0ms	z	-inf
2.0ms	x	inf
2.0ms	y	-inf

rewrite142.0ms (5.3%)

Memory

10.2MiB live, 104.1MiB allocated; 17ms collecting garbage

Counts

12 → 32

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z))
y
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
z
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(/.f64 (cosh.f64 x) x)
(cosh.f64 x)
(/.f64 y z)

Outputs
#s(approx (* (cosh x) (/ (/ y x) z)) (/.f64 (/.f64 y x) z))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
(/.f64 (/.f64 y x) z)
y
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
x
z
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(*.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (cosh.f64 x) x)
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 x))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(cosh.f64 x)
(cosh.f64 (neg.f64 x))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(/.f64 y z)
(/.f64 (neg.f64 y) (neg.f64 z))

eval12.0ms (0.5%)

Memory: -30.0MiB live, 12.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 698 to 183 computations (73.8% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	40	11	51

Accuracy

100.0%

Counts

51 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
✓	85.1%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
✓	51.8%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
✓	51.7%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
	53.0%	(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
✓	51.7%	(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
✓	78.1%	(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
✓	51.0%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
✓	50.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
✓	50.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
	50.6%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))

Compiler

Compiled 136 to 107 computations (21.3% saved)

regimes179.0ms (6.7%)

Memory

7.5MiB live, 293.0MiB allocated; 133ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

4 → 1

8 → 2

9 → 1

10 → 1

12 → 2

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Call 2

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))

Outputs
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)

Call 3

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))
(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))

Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))

Call 4

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))
(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))

Outputs
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))

Call 5

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))
(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

Outputs
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

Call 6

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))
(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Outputs
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))

Call 7

Inputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) (/.f64 y z))
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))
(.f64 (.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (cosh.f64 x) (.f64 y (/.f64 #s(literal 1 binary64) x))) z)
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z)) x))
#s(approx (/ (/ (* (cosh x) y) x) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z))))

Outputs
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)

Calls

35 calls:

43.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
12.0ms	z
11.0ms	x
9.0ms	y
8.0ms	y

Results

Accuracy	Segments	Branch
51.0%	1	`y`
51.0%	1	`x`
51.0%	1	`z`
51.0%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
51.0%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
51.8%	1	`x`
51.8%	1	`y`
51.8%	1	`z`
51.8%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
51.8%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
55.9%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
55.9%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
53.0%	1	`x`
55.9%	2	`y`
55.9%	2	`z`
78.1%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
78.1%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
78.1%	1	`x`
78.1%	1	`y`
78.1%	1	`z`
85.1%	1	`x`
85.1%	1	`z`
85.1%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
85.1%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
85.1%	1	`y`
94.5%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
94.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
93.7%	2	`x`
94.7%	2	`y`
93.8%	2	`z`
98.4%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
98.4%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`

Compiler

Compiled 361 to 221 computations (38.8% saved)

bsearch8.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.656584114181411e-142	6.289347627333075e-142

Samples

4.0ms

80×

valid

Compiler

Compiled 91 to 93 computations (-2.2% saved)

Precisions

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

ival-cosh: 1.0ms (49.7% of total)

ival-div!: 1.0ms (49.7% of total)

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.727811160047284e+49	1.366067367323909e+52

Compiler

Compiled 11 to 13 computations (-18.2% saved)

derivations2.0ms (0.1%)

Memory

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

Stop Event

1×

fuel

Compiler

Compiled 105 to 34 computations (67.6% saved)

preprocess471.0ms (17.6%)

Memory

-8.1MiB live, 319.1MiB allocated; 74ms collecting garbage

Remove

(negabs z)

(negabs y)

(negabs x)

Compiler

Compiled 783 to 517 computations (34% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze135.0ms (5.1%)

sample738.0ms (27.6%)

preprocess57.0ms (2.1%)

series98.0ms (3.7%)

rewrite157.0ms (5.9%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

series95.0ms (3.5%)

rewrite202.0ms (7.6%)

eval10.0ms (0.4%)

prune5.0ms (0.2%)

series109.0ms (4.1%)

rewrite146.0ms (5.5%)

eval7.0ms (0.3%)

prune5.0ms (0.2%)

series85.0ms (3.2%)

rewrite142.0ms (5.3%)

eval12.0ms (0.5%)

prune4.0ms (0.1%)

regimes179.0ms (6.7%)

bsearch8.0ms (0.3%)

bsearch0.0ms (0%)

derivations2.0ms (0.1%)

preprocess471.0ms (17.6%)

end0.0ms (0%)

Profiling