Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze9.0ms (0.7%)

Memory
25.6MiB live, 25.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample610.0ms (42.9%)

Memory
52.2MiB live, 1 021.7MiB allocated; 331ms collecting garbage
Samples
407.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-div!: 61.0ms (54.6% of total)
ival-add!: 49.0ms (43.9% of total)
adjust: 2.0ms (1.8% of total)
Bogosity

preprocess37.0ms (2.6%)

Memory
-37.7MiB live, 54.0MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01748
17342
228742
3128342
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 10 to 10 computations (0% saved)

series5.0ms (0.4%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
5 → 13
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((/ (+ x y) (+ y y)) (+ x y) x y (+ y y))
1.0ms
x
@-inf
((/ (+ x y) (+ y y)) (+ x y) x y (+ y y))
1.0ms
y
@-inf
((/ (+ x y) (+ y y)) (+ x y) x y (+ y y))
1.0ms
x
@inf
((/ (+ x y) (+ y y)) (+ x y) x y (+ y y))
1.0ms
y
@0
((/ (+ x y) (+ y y)) (+ x y) x y (+ y y))

rewrite91.0ms (6.4%)

Memory
20.2MiB live, 116.1MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052164
053150
1278124
02300119
16426119
Stop Event
saturated
iter-limit
node-limit
iter-limit
Counts
18 → 77
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (-.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 y (*.f64 #s(literal 1/2 binary64) y))) (*.f64 y y))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (neg.f64 y))
(/.f64 (-.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) y)
(/.f64 (+.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 y x) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) y))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) y) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(neg.f64 (-.f64 (neg.f64 x) y))
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
#s(approx (+ y y) #s(literal 2 binary64))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))

eval8.0ms (0.6%)

Memory
-30.7MiB live, 14.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 270 to 137 computations (49.3% saved)

prune2.0ms (0.2%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68472
Fresh000
Picked011
Done000
Total68573
Accuracy
100.0%
Counts
73 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
99.7%
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y))
3.3%
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
3.4%
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
55.1%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 33 to 33 computations (0% saved)

series9.0ms (0.6%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Counts
13 → 21
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
x
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
(fma.f64 (/.f64 x y) y y)
(/.f64 x y)
(+.f64 y y)
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y))
1.0ms
x
@-inf
((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y))
1.0ms
x
@inf
((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y))
1.0ms
x
@0
((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y))
1.0ms
y
@inf
((/ (+ x y) (+ y y)) 1/2 (/ (+ x y) (+ y y)) (* 1/2 x) x (* (+ y x) 1/2) (+ y x) y (/ (+ x y) (+ y y)) (+ x y) (+ (* (/ x y) y) y) (/ x y) (+ y y))

rewrite103.0ms (7.3%)

Memory
24.7MiB live, 117.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081319
089291
1417263
03237256
19709256
Stop Event
saturated
iter-limit
node-limit
iter-limit
Counts
34 → 159
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
x
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
(fma.f64 (/.f64 x y) y y)
(/.f64 x y)
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x #s(literal 2 binary64))
x
(*.f64 (-.f64 (neg.f64 y) x) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (+.f64 y x) y) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 y (*.f64 #s(literal 1/2 binary64) y))) (*.f64 y y))
(/.f64 (-.f64 (neg.f64 y) x) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (neg.f64 y))
(/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (+.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 y x) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) y))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) y) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(neg.f64 (-.f64 (neg.f64 y) x))
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)
y
(*.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
(/.f64 (*.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 1/2 binary64)) y)
(/.f64 (/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) #s(literal -2 binary64))
(/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) #s(literal 2 binary64)))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))
(*.f64 y (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)))
(neg.f64 (*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(neg.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)))
(neg.f64 (-.f64 (neg.f64 y) (*.f64 (/.f64 x y) y)))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 y)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(fma.f64 (/.f64 x y) y (neg.f64 (neg.f64 y)))
(fma.f64 (/.f64 x y) y y)
(fma.f64 y (/.f64 x y) (neg.f64 (neg.f64 y)))
(fma.f64 y (/.f64 x y) y)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y) (neg.f64 (neg.f64 y)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y) y)
(fma.f64 x (/.f64 y y) (neg.f64 (neg.f64 y)))
(fma.f64 x (/.f64 y y) y)
(-.f64 (*.f64 (/.f64 x y) y) (neg.f64 y))
(-.f64 y (*.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 y (*.f64 (neg.f64 y) (/.f64 x y)))
(-.f64 y (neg.f64 (*.f64 (/.f64 x y) y)))
(+.f64 (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 x y) y) (neg.f64 (neg.f64 y)))
(+.f64 (*.f64 (/.f64 x y) y) y)
(+.f64 y (*.f64 (/.f64 x y) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
#s(literal 2 binary64)
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 y x))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y y) #s(literal 2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))

eval19.0ms (1.3%)

Memory
-12.2MiB live, 37.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 674 to 360 computations (46.6% saved)

prune7.0ms (0.5%)

Memory
-32.9MiB live, 13.6MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1412143
Fresh000
Picked044
Done011
Total1417148
Accuracy
100.0%
Counts
148 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
99.7%
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y))
3.3%
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
3.0%
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
46.8%
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
3.4%
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
55.1%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 48 to 48 computations (0% saved)

series6.0ms (0.4%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
8 → 19
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
#s(approx (+ y x) y)
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ (* 1/2 x) y) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x))
1.0ms
x
@inf
((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x))
1.0ms
x
@0
((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x))
1.0ms
y
@-inf
((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x))
1.0ms
y
@inf
((/ (+ x y) (+ y y)) (/ (* 1/2 x) y) (* 1/2 x) 1/2 x y (* (+ y x) 1/2) (+ y x))

rewrite231.0ms (16.2%)

Memory
8.2MiB live, 242.4MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073269
076215
1391215
22959215
08700213
136321213
Stop Event
saturated
node-limit
iter-limit
Counts
27 → 86
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
#s(approx (+ y x) y)
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ (* 1/2 x) y) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 y))))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ y x))))))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* y (+ 1/2 (* 1/2 (/ x y))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ y x) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (+.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 y y))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 x (+.f64 y y))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 y y)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (/.f64 y y))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 y y))
(*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 y y) (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y y) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 x (+.f64 y y)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 y y)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (/.f64 x (+.f64 y y)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 y (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 y))
(/.f64 (*.f64 y (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) y)
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) y)
#s(literal 1/2 binary64)
x
y
(*.f64 (*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) #s(approx (+ y x) y)))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ y x) y))
#s(approx (+ y x) y)
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* 1/2 x) y) (/.f64 x (+.f64 y y)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* (+ y x) 1/2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 y x))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) (+.f64 y x))
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) (+.f64 y x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (+.f64 y x) (+.f64 y y)))
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) (+.f64 y x))
#s(approx (* (+ y x) 1/2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ y x) (+.f64 y x))

eval6.0ms (0.4%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 345 to 217 computations (37.1% saved)

prune4.0ms (0.2%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New65368
Fresh000
Picked112
Done235
Total68775
Accuracy
100.0%
Counts
75 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.3%
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
3.0%
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
99.7%
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
46.8%
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
46.7%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
3.4%
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
55.1%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 52 to 52 computations (0% saved)

series8.0ms (0.6%)

Memory
-30.1MiB live, 16.3MiB allocated; 3ms collecting garbage
Counts
12 → 11
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x y)
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (* (/ 1/2 y) x) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))
1.0ms
y
@-inf
((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))
1.0ms
x
@-inf
((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))
1.0ms
x
@inf
((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))
1.0ms
y
@0
((/ (+ x y) (+ y y)) (* (/ 1/2 y) x) (/ 1/2 y) 1/2 y x (/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (+ (* (/ x y) 1/2) 1/2) (/ x y))

rewrite73.0ms (5.1%)

Memory
0.1MiB live, 100.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048188
055175
1244129
01919125
15181125
Stop Event
saturated
iter-limit
node-limit
iter-limit
Counts
23 → 89
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x y)
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (* (/ 1/2 y) x) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ x y) 1/2) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
Outputs
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
y
x
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (* (/ 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (+ (* (/ x y) 1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
#s(approx (/ 1/2 y) #s(literal 1/2 binary64))
#s(approx y y)
#s(approx (+ y y) #s(literal 2 binary64))

eval6.0ms (0.4%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 262 to 184 computations (29.8% saved)

prune5.0ms (0.3%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New63063
Fresh000
Picked033
Done044
Total63770
Accuracy
100.0%
Counts
70 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.3%
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
3.0%
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
99.7%
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
46.8%
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
46.7%
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
3.4%
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
55.1%
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Compiler

Compiled 95 to 82 computations (13.7% saved)

regimes11.0ms (0.8%)

Memory
-22.2MiB live, 24.1MiB allocated; 3ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (+.f64 y y))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
Calls

3 calls:

4.0ms
x
3.0ms
y
3.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes8.0ms (0.6%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

3.0ms
y
3.0ms
x
2.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
99.7%1(/.f64 (+.f64 x y) (+.f64 y y))
99.7%1x
99.7%1y
Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes7.0ms (0.5%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
Outputs
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
98.4%3(/.f64 (+.f64 x y) (+.f64 y y))
79.0%3x
79.4%3y
Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes7.0ms (0.5%)

Memory
-32.7MiB live, 13.7MiB allocated; 2ms collecting garbage
Accuracy

Total -34.1b remaining (-118.7%)

Threshold costs -34.1b (-118.7%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(approx (+ y x) y) #s(literal 1/2 binary64))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
Calls

3 calls:

3.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
55.1%1x
55.1%1y
55.1%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 7 to 9 computations (-28.6% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5765539512682543
58192.71834476131
0.0ms
-1097.02140146929
0.49999999946915996
Compiler

Compiled 8 to 10 computations (-25% saved)

derivations120.0ms (8.5%)

Memory
11.6MiB live, 148.1MiB allocated; 24ms collecting garbage
Stop Event
done
Compiler

Compiled 28 to 21 computations (25% saved)

preprocess32.0ms (2.2%)

Memory
31.4MiB live, 76.2MiB allocated; 19ms collecting garbage
Compiler

Compiled 33 to 26 computations (21.2% saved)

end0.0ms (0%)

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

Profiling

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