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

start0.0ms (0%)

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

analyze82.0ms (1.7%)

Memory

-14.1MiB live, 32.2MiB allocated; 36ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.9s (38.9%)

Memory

19.0MiB live, 1 418.9MiB allocated; 482ms collecting garbage

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sin: 935.0ms (87% of total)

ival-div!: 79.0ms (7.4% of total)

ival-mult!: 58.0ms (5.4% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess151.0ms (3.2%)

Memory

-34.9MiB live, 62.4MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	41	38
2	127	38
3	323	38
4	1979	38

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series309.0ms (6.4%)

Memory

5.6MiB live, 97.9MiB allocated; 21ms collecting garbage

Counts

5 → 15

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

Outputs
#s(approx (* x (/ (sin y) y)) (/.f64 (*.f64 x (sin.f64 y)) y))
#s(approx x x)
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal 1/120 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/120 binary64) x)))))))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
#s(approx (sin y) y)
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y))
#s(approx (sin y) (sin.f64 y))

Calls

6 calls:

Time	Variable	Point
6.0ms	x	0
5.0ms	x	inf
5.0ms	x	-inf
3.0ms	y	-inf
3.0ms	y	inf

rewrite257.0ms (5.3%)

Memory

38.7MiB live, 225.9MiB allocated; 20ms collecting garbage

Counts

5 → 16

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

Outputs
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 (neg.f64 y)) (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 (neg.f64 y)) (neg.f64 y))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(cos.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(neg.f64 (sin.f64 (neg.f64 y)))
(sin.f64 y)
y
(neg.f64 (neg.f64 y))

eval15.0ms (0.3%)

Memory: -40.8MiB live, 5.1MiB allocated; 17ms collecting garbage
Compiler: Compiled 347 to 112 computations (67.7% saved)

prune6.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	6	27

Accuracy

100.0%

Counts

27 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	86.2%	(*.f64 (sin.f64 y) (/.f64 x y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	51.5%	(.f64 x #s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
▶	52.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
▶	51.5%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))

Compiler

Compiled 106 to 87 computations (17.9% saved)

series209.0ms (4.3%)

Memory

0.4MiB live, 248.1MiB allocated; 91ms collecting garbage

Counts

21 → 29

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(literal -1/6 binary64)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 x #s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 x y)

Outputs
#s(approx (/ (* (sin y) x) y) (/.f64 (*.f64 x (sin.f64 y)) y))
#s(approx (* (sin y) x) (*.f64 x (sin.f64 y)))
#s(approx x x)
#s(approx (+ x (* -1/6 (* x (pow y 2)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* -1/6 (* x (pow y 2))) (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x (pow y 2)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ x y) (/.f64 x y))
#s(approx (+ x (* -1/6 (* x (pow y 2)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (* (sin y) x) y) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (* (sin y) x) y) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal 1/120 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (/ (* (sin y) x) y) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/120 binary64) x)))))))
#s(approx (* (sin y) x) (*.f64 x y))
#s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal 1/120 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) x))))))))
#s(approx (sin y) y)
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
#s(approx (pow y 2) (pow.f64 y #s(literal 2 binary64)))
#s(approx (* -1/6 (pow y 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (sin y) (sin.f64 y))
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y))
#s(approx (+ x (* -1/6 (* x (pow y 2)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (+ 1 (* -1/6 (pow y 2))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64))))

Calls

6 calls:

Time	Variable	Point
6.0ms	x	inf
5.0ms	x	-inf
4.0ms	y	inf
4.0ms	x	0
4.0ms	y	-inf

rewrite383.0ms (8%)

Memory

31.1MiB live, 221.1MiB allocated; 35ms collecting garbage

Counts

21 → 80

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(literal -1/6 binary64)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 x #s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 x y)

Outputs
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 (neg.f64 y)) (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 (neg.f64 y)) (neg.f64 x))
(*.f64 (neg.f64 x) (sin.f64 (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))
(cos.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 1 binary64))))
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 1 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) y) (PI.f64)))
(neg.f64 (sin.f64 (neg.f64 y)))
(sin.f64 y)
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 y y)
(*.f64 (neg.f64 y) (neg.f64 y))
x
(neg.f64 (neg.f64 x))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64))
#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
(*.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 x x)) y (.f64 x x)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 x x)) y (.f64 x x)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (*.f64 x x)))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 x x)) y (.f64 x x))) (neg.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x)))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (.f64 x x)) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 x x)) y (*.f64 x x)))
(.f64 #s(literal -1/6 binary64) (.f64 x y))
(.f64 (.f64 x #s(literal -1/6 binary64)) y)
(.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 y))
(.f64 (.f64 #s(literal -1/6 binary64) y) x)
(.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))
#s(literal -1/6 binary64)
(*.f64 #s(literal 1 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -1/6 binary64) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(literal -1/6 binary64)))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x y) y)
(.f64 y (.f64 x y))
(.f64 (neg.f64 (.f64 x y)) (neg.f64 y))
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 y y)
(*.f64 (neg.f64 y) (neg.f64 y))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(literal 1 binary64))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 y #s(literal -1/6 binary64) y) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 y #s(literal -1/6 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) y)
(*.f64 y #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) y) y)
(.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 y))
(.f64 (.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 (neg.f64 y)) (neg.f64 (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(neg.f64 (neg.f64 (/.f64 x y)))

eval15.0ms (0.3%)

Memory: -14.5MiB live, 32.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 829 to 419 computations (77.1% saved)

prune14.0ms (0.3%)

Memory

-22.5MiB live, 24.9MiB allocated; 2ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	107	12	119
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	109	16	125

Accuracy

100.0%

Counts

125 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	42.1%	(/.f64 (*.f64 #s(approx (sin y) y) x) y)
	41.7%	(/.f64 #s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))) y)
✓	86.2%	(*.f64 (sin.f64 y) (/.f64 x y))
	38.2%	(.f64 #s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 x y))
	45.8%	(*.f64 #s(approx (sin y) y) (/.f64 x y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	52.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
▶	11.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
	51.3%	#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
	51.1%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 y))))
	51.3%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y)))
▶	51.1%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))))
▶	51.6%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y))))
▶	51.3%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x))))
	10.5%	#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 x x)) y (.f64 x x)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x)))

Compiler

Compiled 368 to 264 computations (28.3% saved)

series187.0ms (3.9%)

Memory

54.3MiB live, 234.4MiB allocated; 34ms collecting garbage

Counts

23 → 39

Calls

Call 1

Inputs
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y))))
(+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y)))
x
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y))
#s(literal -1/6 binary64)
(.f64 (.f64 x y) y)
(*.f64 x y)
y
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
#s(approx (/ (sin y) y) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 #s(approx (sin y) y) x) y)
(*.f64 #s(approx (sin y) y) x)
#s(approx (sin y) y)
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x))))
(+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x)))
(.f64 #s(literal -1/6 binary64) (.f64 y x))
(*.f64 y x)
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))))
(+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x)))
(.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) y)
(neg.f64 x)

Outputs
#s(approx (* x (/ (sin y) y)) (/.f64 (*.f64 x (sin.f64 y)) y))
#s(approx (+ x (* -1/6 (* (* x y) y))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx x x)
#s(approx (* -1/6 (* (* x y) y)) (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* (* x y) y) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x y) (*.f64 x y))
#s(approx (* (sin y) x) (*.f64 x (sin.f64 y)))
#s(approx (+ x (* -1/6 (* y x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) y))))
#s(approx (* -1/6 (* y x)) (.f64 #s(literal -1/6 binary64) (.f64 x y)))
#s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y))))
#s(approx (* (* -1/6 y) (neg x)) (.f64 #s(literal 1/6 binary64) (.f64 x y)))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ x (* -1/6 (* (* x y) y))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ x (* -1/6 (* y x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal 1/120 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/120 binary64) x)))))))
#s(approx y y)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
#s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
#s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal 1/120 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))))))
#s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) x))))))))
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ x (* -1/6 (* y x))) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x y))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x y))))
#s(approx (* -1/6 y) (*.f64 #s(literal -1/6 binary64) y))
#s(approx (+ x (* -1/6 (* (* x y) y))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y))
#s(approx (sin y) (sin.f64 y))
#s(approx (+ x (* -1/6 (* y x))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) x (/.f64 x y))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y))))
#s(approx (+ x (* -1/6 (* y x))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal -1/6 binary64) x)))))

Calls

6 calls:

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

rewrite329.0ms (6.9%)

Memory

-37.6MiB live, 204.4MiB allocated; 84ms collecting garbage

Counts

23 → 64

Calls

Call 1

Inputs
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y))))
(+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y)))
x
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y))
#s(literal -1/6 binary64)
(.f64 (.f64 x y) y)
(*.f64 x y)
y
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
#s(approx (/ (sin y) y) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 #s(approx (sin y) y) x) y)
(*.f64 #s(approx (sin y) y) x)
#s(approx (sin y) y)
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x))))
(+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x)))
(.f64 #s(literal -1/6 binary64) (.f64 y x))
(*.f64 y x)
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))))
(+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x)))
(.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) y)
(neg.f64 x)

Outputs
#s(approx (* (sin y) (/ x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x) (/.f64 (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y))) (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y)))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) x) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) (.f64 x x)) (/.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x) (fma.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) x) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) (*.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y))) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x)) (.f64 (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y))) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))
(.f64 (/.f64 (.f64 (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y))) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x)) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (pow.f64 (.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) x) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y))) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) x) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y))) (-.f64 (.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) x) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y))) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
x
(neg.f64 (neg.f64 x))
(.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y))
(.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 x y))
(.f64 (.f64 x y) (*.f64 #s(literal -1/6 binary64) y))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y))
#s(literal -1/6 binary64)
(neg.f64 (neg.f64 #s(literal -1/6 binary64)))
(.f64 (.f64 x y) y)
(.f64 (.f64 y y) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(.f64 (neg.f64 (.f64 x y)) (neg.f64 y))
(*.f64 x y)
(*.f64 y x)
y
(neg.f64 (neg.f64 y))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
#s(approx (/ (sin y) y) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) #s(literal 0 binary64))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (sinh.f64 (.f64 #s(literal 2 binary64) #s(literal 0 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(approx (sin y) y) x) y)
(*.f64 #s(approx (sin y) y) x)
#s(approx (sin y) y)
#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
(*.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 #s(literal -1/6 binary64)) y #s(literal 1 binary64)) x)
(.f64 (/.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x) x))
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (/.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x)))
(.f64 #s(literal -1/6 binary64) (.f64 x y))
(.f64 (.f64 x #s(literal -1/6 binary64)) y)
(.f64 (.f64 #s(literal -1/6 binary64) y) x)
(.f64 (.f64 x y) #s(literal -1/6 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) y))
(*.f64 x y)
(*.f64 y x)
#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
(*.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 #s(literal -1/6 binary64)) y #s(literal 1 binary64)) x)
(.f64 (/.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x) x))
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (/.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x)))
(.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))
(.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 y))
(.f64 (.f64 x y) (neg.f64 #s(literal -1/6 binary64)))
(.f64 (neg.f64 #s(literal -1/6 binary64)) (.f64 x y))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) y))
(*.f64 #s(literal -1/6 binary64) y)
(*.f64 y #s(literal -1/6 binary64))
(*.f64 (neg.f64 #s(literal -1/6 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal -1/6 binary64)))
(neg.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)))
(neg.f64 x)

eval12.0ms (0.2%)

Memory: 26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 889 to 414 computations (78.1% saved)

prune16.0ms (0.3%)

Memory

-32.6MiB live, 23.1MiB allocated; 10ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	7	7
Picked	2	3	5
Done	0	4	4
Total	88	19	107

Accuracy

100.0%

Counts

107 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	42.1%	(/.f64 (*.f64 #s(approx (sin y) y) x) y)
	41.7%	(/.f64 #s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))) y)
✓	86.2%	(*.f64 (sin.f64 y) (/.f64 x y))
	38.2%	(.f64 #s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 x y))
▶	45.8%	(*.f64 #s(approx (sin y) y) (/.f64 x y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	52.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
✓	11.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
▶	51.5%	#s(approx (* (sin y) (/ x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))
	51.3%	#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
	51.1%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 y))))
▶	51.3%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y)))
✓	51.3%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x))))
	51.1%	#s(approx (* x (/ (sin y) y)) (+.f64 x #s(approx (* (* -1/6 y) (neg x)) (.f64 #s(literal 1/6 binary64) (.f64 x y)))))
	10.5%	#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 x x)) y (.f64 x x)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x)))
	51.3%	#s(approx (* x (/ (sin y) y)) (.f64 (/.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x) x)))
▶	37.6%	#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))))
▶	51.1%	#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y)))))

Compiler

Compiled 496 to 341 computations (31.3% saved)

series221.0ms (4.6%)

Memory

0.8MiB live, 285.5MiB allocated; 22ms collecting garbage

Counts

24 → 38

Calls

Call 1

Inputs
#s(approx (* (sin y) (/ x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x)
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.f64 #s(approx (sin y) y) (/.f64 x y))
#s(approx (sin y) y)
(/.f64 x y)
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y)))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y))
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y)))
(+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y))
(.f64 (.f64 x #s(literal -1/6 binary64)) y)
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 x y))

Outputs
#s(approx (* (sin y) (/ x y)) (/.f64 (*.f64 x (sin.f64 y)) y))
#s(approx (+ (* (* x -1/6) (* y y)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* x -1/6) (*.f64 #s(literal -1/6 binary64) x))
#s(approx x x)
#s(approx (/ x y) (/.f64 x y))
#s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y))))
#s(approx (+ x (* (* x -1/6) y)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (* x -1/6) y) (.f64 #s(literal -1/6 binary64) (.f64 x y)))
#s(approx (* y (+ (* 1/6 x) (/ x y))) (.f64 x (.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* 1/6 x) (/ x y)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* (* x -1/6) (* y y)) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)))))
#s(approx (+ x (* (* x -1/6) y)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)))))
#s(approx (* (sin y) (/ x y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* (sin y) (/ x y)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 #s(literal 1/120 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (* (sin y) (/ x y)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/120 binary64) x)))))))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx y y)
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x y))))
#s(approx (+ 1 (* 1/6 y)) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/6 y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y)))
#s(approx (* 1/6 y) (*.f64 #s(literal 1/6 binary64) y))
#s(approx (+ x (* (* x -1/6) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x y))))
#s(approx (+ (* 1/6 x) (/ x y)) (/.f64 (+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x y))) y))
#s(approx (+ (* (* x -1/6) (* y y)) x) (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* (* x -1/6) (* y y)) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
#s(approx (sin y) (sin.f64 y))
#s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 #s(literal 1/6 binary64) (.f64 x y)))
#s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y))))
#s(approx (+ 1 (* 1/6 y)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ x (* (* x -1/6) y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) x (/.f64 x y))))
#s(approx (+ (* 1/6 x) (/ x y)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) (/ x y)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))
#s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (+ x (* (* x -1/6) y)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x y) (*.f64 #s(literal 1/6 binary64) x)))))

Calls

6 calls:

Time	Variable	Point
6.0ms	y	inf
6.0ms	x	inf
4.0ms	x	-inf
3.0ms	x	0
3.0ms	y	-inf

rewrite323.0ms (6.7%)

Memory

40.8MiB live, 513.1MiB allocated; 94ms collecting garbage

Counts

24 → 84

Calls

Call 1

Inputs
#s(approx (* (sin y) (/ x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x)
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.f64 #s(approx (sin y) y) (/.f64 x y))
#s(approx (sin y) y)
(/.f64 x y)
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y)))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y))
#s(literal 1 binary64)
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y)))
(+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y))
(.f64 (.f64 x #s(literal -1/6 binary64)) y)
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))))
#s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 x y))

Outputs
#s(approx (* (sin y) (/ x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))
(.f64 (fma.f64 (.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y #s(literal -1/6 binary64)) y)))
(.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) x) (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y)) x)))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 y y)) (.f64 (.f64 y x) y)) x)) (-.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y)) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (fma.f64 x (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 y y)) (.f64 (.f64 y x) y) x) (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) y) (.f64 y x))))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 (neg.f64 #s(literal -1/6 binary64)) (neg.f64 x))
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64)))
#s(literal -1/6 binary64)
(*.f64 y y)
(*.f64 (fabs.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
y
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(.f64 (neg.f64 #s(literal 1 binary64)) (.f64 (neg.f64 #s(literal 1 binary64)) y))
(/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(approx (sin y) y) (/.f64 x y))
#s(approx (sin y) y)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(neg.f64 (neg.f64 (/.f64 x y)))
#s(approx (* (sin y) (/ x y)) #s(approx (+ x (* x (* -1/6 y))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y x)))
#s(approx (+ x (* x (* -1/6 y))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y x))
(*.f64 x (fma.f64 y #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) y x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/6 binary64)) y x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (*.f64 y y)))) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) y)
(*.f64 y #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y))
(.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) y)) (neg.f64 #s(literal 1 binary64)))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64))
(.f64 (neg.f64 #s(literal 1 binary64)) (.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
(*.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 #s(literal -1/6 binary64)) y #s(literal 1 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/6 binary64))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/6 binary64))))
(.f64 (.f64 x #s(literal -1/6 binary64)) y)
(.f64 (.f64 y #s(literal -1/6 binary64)) x)
(.f64 (.f64 y x) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 y x))
(.f64 x (.f64 y #s(literal -1/6 binary64)))
#s(approx (* (sin y) (/ x y)) #s(approx (+ x (* x (* -1/6 y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))))
#s(approx (+ x (* x (* -1/6 y))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)) y)
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 x y))) (/.f64 y (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 x y))))
(.f64 y (-.f64 (.f64 x #s(literal 1/6 binary64)) (neg.f64 (/.f64 x y))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (.f64 x #s(literal 1/6 binary64)) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (/.f64 y (fma.f64 (-.f64 (/.f64 x y) (.f64 x #s(literal 1/6 binary64))) (/.f64 x y) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)) (/.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 x y)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 x y))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 x y))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (fma.f64 (/.f64 x y) (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (*.f64 x x))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 x y))) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 x y)))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))
(.f64 (fma.f64 (-.f64 (/.f64 x y) (.f64 x #s(literal 1/6 binary64))) (/.f64 x y) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (/.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)) (fma.f64 (-.f64 (/.f64 x y) (.f64 x #s(literal 1/6 binary64))) (/.f64 x y) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (.f64 x #s(literal 1/6 binary64)) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (+.f64 (pow.f64 (.f64 (-.f64 (/.f64 x y) (.f64 x #s(literal 1/6 binary64))) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal 3 binary64) #s(literal 3 binary64))))) (fma.f64 (.f64 (-.f64 (/.f64 x y) (.f64 x #s(literal 1/6 binary64))) (/.f64 x y)) (-.f64 (.f64 (-.f64 (/.f64 x y) (.f64 x #s(literal 1/6 binary64))) (/.f64 x y)) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x)) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x)))))

eval39.0ms (0.8%)

Memory: -11.9MiB live, 124.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 3 831 to 701 computations (81.7% saved)

prune23.0ms (0.5%)

Memory

4.2MiB live, 57.4MiB allocated; 7ms collecting garbage

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	2	5	7
Picked	1	4	5
Done	0	7	7
Total	155	21	176

Accuracy

100.0%

Counts

176 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	42.1%	(/.f64 (*.f64 #s(approx (sin y) y) x) y)
	41.7%	(/.f64 #s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))) y)
✓	86.2%	(*.f64 (sin.f64 y) (/.f64 x y))
	38.2%	(.f64 #s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 x y))
✓	45.8%	(*.f64 #s(approx (sin y) y) (/.f64 x y))
	45.7%	(.f64 #s(approx (sin y) y) (.f64 x (/.f64 #s(literal 1 binary64) y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	52.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
✓	11.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
✓	51.5%	#s(approx (* (sin y) (/ x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))
	51.3%	#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
	51.1%	#s(approx (* (sin y) (/ x y)) #s(approx (+ x (* x (* -1/6 y))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y x)))
✓	51.3%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y)))
✓	51.3%	#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x))))
	10.5%	#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 x x)) y (.f64 x x)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x)))
	51.3%	#s(approx (* x (/ (sin y) y)) (.f64 (/.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x) x)))
	53.2%	#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y))))))
✓	37.6%	#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))))
	4.2%	#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 y #s(approx (+ ( 1/6 x) (/ x y)) (*.f64 #s(literal 1/6 binary64) x)))))
	4.2%	#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 #s(literal 1/6 binary64) (.f64 x y))))

Compiler

Compiled 331 to 229 computations (30.8% saved)

regimes133.0ms (2.8%)

Memory

22.2MiB live, 335.4MiB allocated; 65ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

15 → 2

25 → 2

28 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))

Outputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))

Call 2

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 #s(literal 1/6 binary64) (.f64 x y))))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 y #s(approx (+ ( 1/6 x) (/ x y)) (*.f64 #s(literal 1/6 binary64) x)))))
(*.f64 #s(approx (sin y) y) (/.f64 x y))
(/.f64 (*.f64 #s(approx (sin y) y) x) y)
#s(approx (* (sin y) (/ x y)) #s(approx (+ x (* x (* -1/6 y))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y x)))
#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y)))))
#s(approx (* x (/ (sin y) y)) (+.f64 x #s(approx (* (* -1/6 y) (neg x)) (.f64 #s(literal 1/6 binary64) (.f64 x y)))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y)))
(.f64 #s(approx (sin y) y) (.f64 x (/.f64 #s(literal 1 binary64) y)))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 y))))

Outputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Call 3

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 #s(literal 1/6 binary64) (.f64 x y))))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 y #s(approx (+ ( 1/6 x) (/ x y)) (*.f64 #s(literal 1/6 binary64) x)))))
(*.f64 #s(approx (sin y) y) (/.f64 x y))
(/.f64 (*.f64 #s(approx (sin y) y) x) y)
#s(approx (* (sin y) (/ x y)) #s(approx (+ x (* x (* -1/6 y))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y x)))
#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y)))))
#s(approx (* x (/ (sin y) y)) (+.f64 x #s(approx (* (* -1/6 y) (neg x)) (.f64 #s(literal 1/6 binary64) (.f64 x y)))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y)))
(.f64 #s(approx (sin y) y) (.f64 x (/.f64 #s(literal 1 binary64) y)))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 y))))
#s(approx (* (sin y) (/ x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y))))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y))))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 x #s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 x x)) y (.f64 x x)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x)))
#s(approx (* x (/ (sin y) y)) (.f64 (/.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x) x)))
(.f64 #s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 x y))
(/.f64 #s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))) y)

Outputs
#s(approx (* (sin y) (/ x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))

Call 4

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 0 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 #s(literal 1/6 binary64) (.f64 x y))))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 y #s(approx (+ ( 1/6 x) (/ x y)) (*.f64 #s(literal 1/6 binary64) x)))))
(*.f64 #s(approx (sin y) y) (/.f64 x y))
(/.f64 (*.f64 #s(approx (sin y) y) x) y)
#s(approx (* (sin y) (/ x y)) #s(approx (+ x (* x (* -1/6 y))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) y x)))
#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) y)))))
#s(approx (* x (/ (sin y) y)) (+.f64 x #s(approx (* (* -1/6 y) (neg x)) (.f64 #s(literal 1/6 binary64) (.f64 x y)))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y x))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) y)))
(.f64 #s(approx (sin y) y) (.f64 x (/.f64 #s(literal 1 binary64) y)))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 #s(literal -1/6 binary64) y) (neg.f64 x))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 y))))
#s(approx (* (sin y) (/ x y)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y y) x))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (*.f64 y (fma.f64 #s(literal 1/6 binary64) x (/.f64 x y)))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x y) y))))
#s(approx (* x (/ (sin y) y)) #s(approx (+ x (* (* -1/6 y) (neg x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (.f64 y y))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) y))))))
#s(approx (* x (/ (sin y) y)) (+.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 x #s(approx (/ (sin y) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* x (/ (sin y) y)) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 x x)) y (.f64 x x)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x)))
#s(approx (* x (/ (sin y) y)) (.f64 (/.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x #s(literal -1/6 binary64)) y x) x)))
(.f64 #s(approx (sin y) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 x y))
(/.f64 #s(approx (* (sin y) x) (.f64 y (+.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

Calls

14 calls:

17.0ms	x
16.0ms	(/.f64 (sin.f64 y) y)
15.0ms	x
14.0ms	(/.f64 (sin.f64 y) y)
14.0ms	y

Results

Accuracy	Segments	Branch
11.6%	1	`x`
11.6%	1	`y`
11.6%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
11.6%	1	`(/.f64 (sin.f64 y) y)`
60.0%	2	`(/.f64 (sin.f64 y) y)`
59.8%	2	`y`
60.0%	2	`(/.f64 (sin.f64 y) y)`
60.0%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
59.4%	2	`x`
60.1%	2	`y`
99.8%	1	`(/.f64 (sin.f64 y) y)`
99.8%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 492 to 171 computations (65.2% saved)

bsearch67.0ms (1.4%)

Memory

-54.1MiB live, 22.0MiB allocated; 79ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
66.0ms	7.926704668815718e+27	9.035044753571795e+27

Samples

5.0ms

32×

valid

Compiler

Compiled 55 to 48 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sin: 4.0ms (85.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.631687461610553e-124	2.167827561556328e-120

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations1.0ms (0%)

Memory

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

Stop Event

1×

fuel

Compiler

Compiled 64 to 26 computations (59.4% saved)

preprocess139.0ms (2.9%)

Memory

3.7MiB live, 199.5MiB allocated; 26ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 380 to 241 computations (36.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze82.0ms (1.7%)

sample1.9s (38.9%)

preprocess151.0ms (3.2%)

series309.0ms (6.4%)

rewrite257.0ms (5.3%)

eval15.0ms (0.3%)

prune6.0ms (0.1%)

series209.0ms (4.3%)

rewrite383.0ms (8%)

eval15.0ms (0.3%)

prune14.0ms (0.3%)

series187.0ms (3.9%)

rewrite329.0ms (6.9%)

eval12.0ms (0.2%)

prune16.0ms (0.3%)

series221.0ms (4.6%)

rewrite323.0ms (6.7%)

eval39.0ms (0.8%)

prune23.0ms (0.5%)

regimes133.0ms (2.8%)

bsearch67.0ms (1.4%)

bsearch0.0ms (0%)

derivations1.0ms (0%)

preprocess139.0ms (2.9%)

end0.0ms (0%)

Profiling