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

start0.0ms (0%)

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

analyze159.0ms (4.2%)

Memory

-10.0MiB live, 141.9MiB allocated; 122ms 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)

sample1.5s (40.6%)

Memory

13.5MiB live, 937.0MiB allocated; 382ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 595.0ms

ival-cosh: 317.0ms (53.2% of total)

ival-div!: 175.0ms (29.4% of total)

ival-mult!: 101.0ms (17% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess29.0ms (0.8%)

Memory

-10.9MiB live, 41.8MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	87
1	127	87

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.0%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Symmetry

(negabs z)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series158.0ms (4.2%)

Memory

18.2MiB live, 155.0MiB allocated; 23ms 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
10.0ms	x	-inf
3.0ms	x	inf
2.0ms	y	0
2.0ms	y	-inf
2.0ms	y	inf

rewrite206.0ms (5.5%)

Memory

-26.5MiB live, 210.2MiB allocated; 73ms 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

eval6.0ms (0.1%)

Memory: 8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 462 to 139 computations (69.9% saved)

prune5.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	5	28

Accuracy

100.0%

Counts

28 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
▶	89.0%	(/.f64 (.f64 (cosh.f64 x) (.f64 y (/.f64 #s(literal 1 binary64) x))) z)
▶	53.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	81.8%	#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))
▶	55.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Compiler

Compiled 134 to 102 computations (23.9% saved)

series188.0ms (5%)

Memory

-7.2MiB live, 185.1MiB allocated; 62ms collecting garbage

Counts

27 → 42

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

Calls

9 calls:

Time	Variable	Point
9.0ms	x	-inf
8.0ms	x	inf
5.0ms	z	inf
5.0ms	y	-inf
4.0ms	x	0

rewrite239.0ms (6.4%)

Memory

14.6MiB live, 154.6MiB allocated; 34ms collecting garbage

Counts

27 → 80

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 (/.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)
#s(literal 1 binary64)
#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))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z) (/.f64 y z))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z)
(*.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 y z)

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

eval61.0ms (1.6%)

Memory: -24.8MiB live, 25.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 253 to 431 computations (80.9% saved)

prune10.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	101	9	110

Accuracy

100.0%

Counts

110 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
▶	87.5%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
✓	53.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
▶	53.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
	81.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) y)) z)) x))
▶	55.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (/.f64 y z)) x))
✓	55.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
▶	55.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
▶	30.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))))

Compiler

Compiled 280 to 202 computations (27.9% saved)

series179.0ms (4.8%)

Memory

12.6MiB live, 149.9MiB allocated; 25ms collecting garbage

Counts

25 → 42

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

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

Calls

9 calls:

Time	Variable	Point
5.0ms	x	-inf
5.0ms	y	0
4.0ms	y	-inf
4.0ms	z	-inf
3.0ms	x	inf

rewrite256.0ms (6.8%)

Memory

-17.6MiB live, 130.1MiB allocated; 37ms collecting garbage

Counts

25 → 61

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

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

eval11.0ms (0.3%)

Memory: 19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 141 to 393 computations (81.6% saved)

prune8.0ms (0.2%)

Memory

-32.9MiB live, 14.2MiB allocated; 1ms collecting garbage

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	1	0	1
Picked	0	5	5
Done	0	3	3
Total	90	11	101

Accuracy

100.0%

Counts

101 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
✓	87.5%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
✓	53.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
✓	53.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
▶	90.7%	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
✓	55.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (/.f64 y z)) x))
✓	55.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
✓	55.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
✓	30.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))))
▶	30.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z)))))
▶	29.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y z)))))

Compiler

Compiled 206 to 150 computations (27.2% saved)

series209.0ms (5.6%)

Memory

7.8MiB live, 151.5MiB allocated; 25ms collecting garbage

Counts

19 → 29

Calls

Call 1

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

Calls

9 calls:

Time	Variable	Point
8.0ms	y	inf
7.0ms	y	-inf
6.0ms	z	-inf
5.0ms	z	0
5.0ms	y	0

rewrite189.0ms (5%)

Memory

29.6MiB live, 75.8MiB allocated; 16ms collecting garbage

Counts

19 → 51

Calls

Call 1

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

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

eval23.0ms (0.6%)

Memory: -41.1MiB live, 14.5MiB allocated; 27ms collecting garbage
Compiler: Compiled 1 630 to 303 computations (81.4% saved)

prune9.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	59	12	71

Accuracy

100.0%

Counts

71 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
✓	87.5%	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
✓	53.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z)
✓	53.9%	(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
✓	90.7%	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
✓	55.3%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (/.f64 y z)) x))
✓	55.9%	#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))
✓	55.7%	#s(approx (/ (* (cosh x) (/ y x)) z) (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z))))
✓	30.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))))
✓	30.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z)))))
✓	29.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y z)))))
	29.0%	#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) z))))))

Compiler

Compiled 240 to 174 computations (27.5% saved)

regimes117.0ms (3.1%)

Memory

3.9MiB live, 194.6MiB allocated; 18ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 2

4 → 3

9 → 3

10 → 1

11 → 3

12 → 2

16 → 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)))

#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (/.f64 y z)) x))

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

Outputs
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (/.f64 y z)) x))
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 x z)))

Call 3

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

Outputs

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

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

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

Call 4

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

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

Outputs

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

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

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

Call 5

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

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

Call 8

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

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

Calls

33 calls:

8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	x
7.0ms	y
6.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
55.9%	1	`y`
55.9%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
55.9%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
55.9%	1	`x`
55.9%	1	`z`
60.5%	2	`z`
60.5%	3	`y`
60.5%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`
59.0%	2	`x`
69.0%	3	`x`
65.2%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`
60.5%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
74.8%	3	`x`
62.3%	3	`y`
60.5%	2	`z`
87.5%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
87.5%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
87.5%	1	`z`
87.5%	1	`x`
87.5%	1	`y`
96.6%	3	`y`
95.9%	3	`(*.f64 (cosh.f64 x) (/.f64 y x))`
96.0%	3	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
95.7%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`
95.7%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
96.5%	3	`x`
96.6%	3	`y`
94.9%	2	`z`
97.6%	1	`(*.f64 (cosh.f64 x) (/.f64 y x))`
97.6%	1	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
97.6%	1	`x`
97.6%	1	`y`
97.6%	1	`z`

Compiler

Compiled 416 to 224 computations (46.2% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch25.0ms (0.7%)

Memory

23.5MiB live, 70.1MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.4429752752423107e-136	8.507950462295266e-132
13.0ms	-2.5427822903053035e-71	-1.3695901630765386e-74

Samples

13.0ms

256×

valid

Compiler

Compiled 267 to 269 computations (-0.7% saved)

Precisions

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

ival-cosh: 3.0ms (44.4% of total)

ival-div!: 3.0ms (44.4% of total)

ival-mult!: 1.0ms (14.8% of total)

adjust: 0.0ms (0% of total)

bsearch41.0ms (1.1%)

Memory

-20.1MiB live, 68.2MiB allocated; 21ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.883882166794154e-8	0.16407226517621426
18.0ms	-1426.399923109655	-0.0006315367744716314

Samples

27.0ms

288×

valid

Compiler

Compiled 839 to 625 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div!: 15.0ms (72.4% of total)

ival-cosh: 5.0ms (24.1% of total)

ival-mult!: 1.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.883882166794154e-8	0.16407226517621426
1.0ms	-1426.399923109655	-0.0006315367744716314

Compiler

Compiled 839 to 625 computations (25.5% saved)

bsearch3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.5577569398052124e+26	5.3363661242508466e+35

Samples

2.0ms

32×

valid

Compiler

Compiled 95 to 75 computations (21.1% saved)

Precisions

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

adjust: 0.0ms (0% of total)

ival-cosh: 0.0ms (0% of total)

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

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

derivations2.0ms (0.1%)

Memory

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

Stop Event

1×

fuel

Compiler

Compiled 307 to 63 computations (79.5% saved)

preprocess92.0ms (2.5%)

Memory: 18.4MiB live, 203.6MiB allocated; 47ms collecting garbage
Remove: (negabs z)
Compiler: Compiled 929 to 350 computations (62.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze159.0ms (4.2%)

sample1.5s (40.6%)

preprocess29.0ms (0.8%)

series158.0ms (4.2%)

rewrite206.0ms (5.5%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

series188.0ms (5%)

rewrite239.0ms (6.4%)

eval61.0ms (1.6%)

prune10.0ms (0.3%)

series179.0ms (4.8%)

rewrite256.0ms (6.8%)

eval11.0ms (0.3%)

prune8.0ms (0.2%)

series209.0ms (5.6%)

rewrite189.0ms (5%)

eval23.0ms (0.6%)

prune9.0ms (0.2%)

regimes117.0ms (3.1%)

bsearch0.0ms (0%)

bsearch25.0ms (0.7%)

bsearch41.0ms (1.1%)

bsearch2.0ms (0.1%)

bsearch3.0ms (0.1%)

derivations2.0ms (0.1%)

preprocess92.0ms (2.5%)

end0.0ms (0%)

Profiling