Metrics for Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample713.0ms (40.7%)

Memory

19.3MiB live, 1 185.1MiB allocated; 384ms collecting garbage

Samples

321.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult!: 102.0ms (79.4% of total)

ival-sub!: 25.0ms (19.5% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess76.0ms (4.4%)

Memory

-16.1MiB live, 74.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	57	44
2	249	42
3	864	42
4	4988	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series10.0ms (0.6%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	123

Stop Event

1×	iter-limit

Counts

6 → 12

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	y	inf
1.0ms	x	0
1.0ms	y	-inf
1.0ms	x	-inf

rewrite117.0ms (6.7%)

Memory

-15.2MiB live, 86.8MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	36	16
0	277	16

Stop Event

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

Counts

6 → 43

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 623 to 151 computations (75.8% saved)

prune7.0ms (0.4%)

Memory

-32.7MiB live, 11.5MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Accuracy

100.0%

Counts

51 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
▶	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶	69.9%	(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (neg.f64 y))))))
▶	53.5%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

Compiler

Compiled 44 to 34 computations (22.7% saved)

series26.0ms (1.5%)

Memory

25.4MiB live, 70.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	724

Stop Event

1×	iter-limit

Counts

21 → 37

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite85.0ms (4.9%)

Memory

-8.4MiB live, 128.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	123
0	38	149
1	169	86
0	1477	84

Stop Event

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

Counts

21 → 442

Calls

Call 1

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

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

eval52.0ms (3%)

Memory: 4.1MiB live, 133.5MiB allocated; 39ms collecting garbage
Compiler: Compiled 8 674 to 1 360 computations (84.3% saved)

prune7.0ms (0.4%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	357	2	359
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	358	5	363

Accuracy

100.0%

Counts

363 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
✓	92.6%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶	69.9%	(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))
✓	53.5%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

Compiler

Compiled 49 to 40 computations (18.4% saved)

series38.0ms (2.2%)

Memory

-10.4MiB live, 67.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	777

Stop Event

1×	iter-limit

Counts

17 → 36

Calls

Call 1

Inputs
(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))
(*.f64 x y)
x
y
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(neg.f64 y)
#s(literal 3 binary64)
(-.f64 (fma.f64 y y y) #s(literal -1 binary64))
(fma.f64 y y y)
#s(literal -1 binary64)
(/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)

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

Calls

6 calls:

Time	Variable	Point
13.0ms	x	inf
2.0ms	x	-inf
2.0ms	x	0
2.0ms	y	-inf
2.0ms	y	inf

rewrite109.0ms (6.2%)

Memory

19.4MiB live, 166.3MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	80
0	30	98
1	156	57
0	1638	57

Stop Event

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

Counts

17 → 515

Calls

Call 1

Inputs
(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))
(*.f64 x y)
x
y
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (-.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(neg.f64 y)
#s(literal 3 binary64)
(-.f64 (fma.f64 y y y) #s(literal -1 binary64))
(fma.f64 y y y)
#s(literal -1 binary64)
(/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)

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

eval136.0ms (7.8%)

Memory: -3.2MiB live, 92.5MiB allocated; 99ms collecting garbage
Compiler: Compiled 9 422 to 1 473 computations (84.4% saved)

prune8.0ms (0.5%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	400	3	403
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	402	6	408

Accuracy

100.0%

Counts

408 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.1%	(/.f64 (.f64 y x) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
▶	69.9%	(/.f64 (.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))
▶	66.4%	(/.f64 (*.f64 y x) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)))
✓	92.6%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	53.5%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

Compiler

Compiled 71 to 52 computations (26.8% saved)

series150.0ms (8.6%)

Memory

17.8MiB live, 243.7MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	2349

Stop Event

1×	iter-limit

Counts

21 → 75

Calls

Call 1

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

Outputs
#s(approx (/ (* y x) (/ 1 (- 1 y))) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y))))
#s(approx (* y x) (*.f64 x y))
#s(approx x x)
#s(approx (/ (* y x) (* (/ 1 (- 1 (* (* y y) y))) (- (+ (* y y) y) -1))) (/.f64 (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 y (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (/ (* y x) (/ 1 (- 1 y))) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (*.f64 x y)))))
#s(approx y y)
#s(approx (/ 1 (- 1 y)) #s(literal 1 binary64))
#s(approx (/ 1 (- 1 y)) (+.f64 #s(literal 1 binary64) y))
#s(approx (/ 1 (- 1 y)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
#s(approx (/ 1 (- 1 y)) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))))))
#s(approx (/ -1 y) (/.f64 #s(literal -1 binary64) y))
#s(approx (/ (* y x) (* (/ 1 (- 1 (* (* y y) y))) (- (+ (* y y) y) -1))) (.f64 y (+.f64 x (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x)))) x)))))
#s(approx (/ (* y x) (* (/ 1 (- 1 (* (* y y) y))) (- (+ (* y y) y) -1))) (.f64 y (+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) x))) (+.f64 x (.f64 #s(literal -1 binary64) x)))) x)))))
#s(approx (/ 1 (- 1 (* (* y y) y))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
#s(approx (/ 1 (- 1 (* (* y y) y))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
#s(approx (/ 1 (- 1 (* (* y y) y))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))))
#s(approx (- 1 (* (* y y) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
#s(approx (* (* y y) y) (pow.f64 y #s(literal 3 binary64)))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) y) (*.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (.f64 y (+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (+.f64 x (.f64 #s(literal -1 binary64) x))))))) (+.f64 x (.f64 #s(literal -1 binary64) x)))) x)))))
#s(approx (pow (- 1 y) -1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (pow (- 1 y) -1/2) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) y)))))
#s(approx (pow (- 1 y) -1/2) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 5/16 binary64) y)))))))
#s(approx (- 1 y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
#s(approx (/ (* y x) (/ 1 (- 1 y))) (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (* y x) (/ 1 (- 1 y))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x (/.f64 x y))))
#s(approx (/ 1 (- 1 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))
#s(approx (/ 1 (- 1 y)) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1 binary64)) y))
#s(approx (/ 1 (- 1 y)) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) y))
#s(approx (/ (* y x) (* (/ 1 (- 1 (* (* y y) y))) (- (+ (* y y) y) -1))) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (/ (* y x) (* (/ 1 (- 1 (* (* y y) y))) (- (+ (* y y) y) -1))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
#s(approx (/ 1 (- 1 (* (* y y) y))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
#s(approx (/ 1 (- 1 (* (* y y) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))))
#s(approx (/ 1 (- 1 (* (* y y) y))) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))
#s(approx (/ 1 (- 1 (* (* y y) y))) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64))))
#s(approx (- 1 (* (* y y) y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
#s(approx (- 1 (* (* y y) y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))))
#s(approx (- (+ (* y y) y) -1) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(approx (- (+ (* y y) y) -1) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (.f64 y (+.f64 (/.f64 x (.f64 y (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (.f64 y (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 3/4 binary64) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (.f64 y (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 3/4 binary64) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 x (fma.f64 #s(literal -5/8 binary64) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 x (.f64 y (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 3/4 binary64) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 4 binary64)))))))))
#s(approx (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2)) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) y) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
#s(approx (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) y) (fma.f64 #s(literal -5/8 binary64) (/.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))
#s(approx (pow (- 1 y) -1/2) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
#s(approx (pow (- 1 y) -1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) y) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
#s(approx (pow (- 1 y) -1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))))
#s(approx (pow (- 1 y) -1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) y) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))))
#s(approx (- 1 y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- 1 y) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
#s(approx (/ 1 (- 1 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) y)))
#s(approx (/ 1 (- 1 y)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) #s(literal 1 binary64)) y))) y)))
#s(approx (/ (* y x) (* (/ 1 (- 1 (* (* y y) y))) (- (+ (* y y) y) -1))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y))) y)))))
#s(approx (/ (* y x) (* (/ 1 (- 1 (* (* y y) y))) (- (+ (* y y) y) -1))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (/.f64 x y))) (fma.f64 #s(literal -1 binary64) (/.f64 x y) (.f64 #s(literal 2 binary64) (/.f64 x y)))) y))) y)))))
#s(approx (/ 1 (- 1 (* (* y y) y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 3 binary64)))))
#s(approx (/ 1 (- 1 (* (* y y) y))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64)))))
#s(approx (- 1 (* (* y y) y)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 x (*.f64 y (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 3/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 4 binary64)))) y))) y))))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 3/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 x (fma.f64 #s(literal -5/8 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 4 binary64))))) y) (/.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 3/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 4 binary64))))) y))) y))))))
#s(approx (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2)) (+.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) y) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 3/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y) (.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -5/8 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -3/8 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 3/4 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) y) (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (pow (- 1 y) -1/2) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)))
#s(approx (pow (- 1 y) -1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) y) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
#s(approx (pow (- 1 y) -1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) y))) y) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
#s(approx (pow (- 1 y) -1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) y) (.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)))) y) (.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)))) y) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
#s(approx (- 1 y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))

Calls

6 calls:

Time	Variable	Point
59.0ms	x	0
27.0ms	x	-inf
20.0ms	x	inf
12.0ms	y	-inf
8.0ms	y	inf

rewrite108.0ms (6.2%)

Memory

-25.8MiB live, 152.7MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	137
0	38	133
1	196	93
0	1918	93

Stop Event

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

Counts

21 → 532

Calls

Call 1

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

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

eval50.0ms (2.8%)

Memory: 41.9MiB live, 131.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 13 094 to 1 986 computations (84.8% saved)

prune14.0ms (0.8%)

Memory

-21.3MiB live, 33.9MiB allocated; 11ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	480	3	483
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	482	7	489

Accuracy

100.0%

Counts

489 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(/.f64 (.f64 y x) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))))
✓	66.4%	(/.f64 (*.f64 y x) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)))
	64.2%	(.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))))
✓	92.6%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	53.5%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
	72.1%	#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))))

Compiler

Compiled 103 to 72 computations (30.1% saved)

regimes18.0ms (1%)

Memory

-4.1MiB live, 42.8MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

13 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

Call 2

Inputs
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (*.f64 y x) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 x (-.f64 (fma.f64 y y y) #s(literal -1 binary64))) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))))
(/.f64 (.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))
(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (-.f64 (fma.f64 y y y) #s(literal -1 binary64))))
#s(approx (/ (* y x) (* (pow (- 1 y) -1/2) (pow (- 1 y) -1/2))) (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (neg.f64 y))))))
(/.f64 (.f64 y x) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(/.f64 (.f64 y x) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))))

Outputs
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Calls

6 calls:

6.0ms	x
4.0ms	y
3.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
53.5%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
53.5%	1	`x`
53.5%	1	`y`
99.9%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 210 to 83 computations (60.5% saved)

derivations2.0ms (0.1%)

Memory

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

Stop Event

1×

fuel

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess19.0ms (1.1%)

Memory: -2.9MiB live, 43.6MiB allocated; 5ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 55 to 44 computations (20% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample713.0ms (40.7%)

preprocess76.0ms (4.4%)

series10.0ms (0.6%)

rewrite117.0ms (6.7%)

eval4.0ms (0.3%)

prune7.0ms (0.4%)

series26.0ms (1.5%)

rewrite85.0ms (4.9%)

eval52.0ms (3%)

prune7.0ms (0.4%)

series38.0ms (2.2%)

rewrite109.0ms (6.2%)

eval136.0ms (7.8%)

prune8.0ms (0.5%)

series150.0ms (8.6%)

rewrite108.0ms (6.2%)

eval50.0ms (2.8%)

prune14.0ms (0.8%)

regimes18.0ms (1%)

derivations2.0ms (0.1%)

preprocess19.0ms (1.1%)

end0.0ms (0%)

Profiling