AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze16.0ms (1.1%)

Memory
19.7MiB live, 19.7MiB 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
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample668.0ms (47.1%)

Memory
-13.4MiB live, 745.1MiB allocated; 152ms collecting garbage
Samples
419.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-add: 115.0ms (64.2% of total)
ival-div: 59.0ms (32.9% of total)
ival-assert: 3.0ms (1.7% of total)
adjust: 2.0ms (1.1% of total)
Bogosity

explain81.0ms (5.7%)

Memory
25.7MiB live, 71.7MiB allocated; 5ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(/.f64 x (+.f64 y x))
00-0-(+.f64 y x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
19.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (55.5% of total)
ival-add: 3.0ms (41.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess34.0ms (2.4%)

Memory
-13.4MiB live, 29.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
12634
23334
33934
44834
55634
65634
045
065
175
075
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 y x))
Outputs
(/.f64 x (+.f64 y x))
Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 y x))
Compiler

Compiled 5 to 4 computations (20% saved)

series4.0ms (0.3%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
4 → 27
Calls
Call 1
Inputs
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
Outputs
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (/ x (+ y x)) #s(hole binary64 1))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

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

rewrite159.0ms (11.2%)

Memory
-21.3MiB live, 271.3MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155503
0156462
1953438
08677432
Stop Event
iter limit
node limit
iter limit
Counts
31 → 48
Calls
Call 1
Inputs
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (/ x (+ y x)) #s(hole binary64 1))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y x)))
(/.f64 x (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 x (+.f64 y x))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y x)))
(neg.f64 (/.f64 x (neg.f64 (+.f64 y x))))
x
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)
y
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) (*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) x))
#s(approx (/ x (+ y x)) (fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 x y)))
#s(approx (/ x (+ y x)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 y #s(literal -3 binary64))) x) (pow.f64 y #s(literal -2 binary64))) (/.f64 x y)))
#s(approx x x)
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 y x))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
#s(approx (/ x (+ y x)) (-.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y x)))
#s(approx (/ x (+ y x)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (-.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
#s(approx (+ y x) x)
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64) y) x)))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y)) x) y) x)))
#s(approx (+ y x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (/ x (+ y x)) (fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) y) (pow.f64 x #s(literal -1 binary64))) y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (*.f64 x x) y))) y))
#s(approx (/ x (+ y x)) (/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 x x) y))) y))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y) x) y))
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y) x) y))
#s(approx (+ y x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))

eval5.0ms (0.4%)

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

Compiled 714 to 194 computations (72.8% saved)

prune2.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450
Accuracy
100.0%
Counts
50 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 y x))
99.2%
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
52.9%
(/.f64 x #s(approx (+ y x) y))
48.7%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 31 to 22 computations (29% saved)

series6.0ms (0.4%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
10 → 35
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x #s(approx (+ y x) y))
x
#s(approx (+ y x) y)
y
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
(fma.f64 (/.f64 y x) x x)
(/.f64 y x)
Outputs
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 y))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (+ x y)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ x (+ y x)) #s(hole binary64 1))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 x))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

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

rewrite290.0ms (20.5%)

Memory
-26.5MiB live, 228.9MiB allocated; 156ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168643
0172596
1990572
08479566
Stop Event
iter limit
node limit
iter limit
Counts
45 → 79
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x #s(approx (+ y x) y))
x
#s(approx (+ y x) y)
y
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
(fma.f64 (/.f64 y x) x x)
(/.f64 y x)
#s(approx (/ x (+ y x)) #s(hole binary64 (/ x y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 y))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (+ x y)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ x (+ y x)) #s(hole binary64 1))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (/ x (+ y x)) #s(hole binary64 (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 x))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))))
#s(approx (/ x (+ y x)) #s(hole binary64 (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (+ x (* -1 (/ (pow x 2) y))) y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)))
#s(approx (/ x (+ y x)) #s(hole binary64 (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))))
#s(approx (/ x (+ y x)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ y x) y)))
(/.f64 x (neg.f64 (neg.f64 #s(approx (+ y x) y))))
(/.f64 x #s(approx (+ y x) y))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ y x) y)))
(neg.f64 (/.f64 x (neg.f64 #s(approx (+ y x) y))))
x
#s(approx (+ y x) y)
y
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
(/.f64 x (neg.f64 (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))))
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x))))
(neg.f64 (/.f64 x (neg.f64 #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))))
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y x) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y x) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y x) x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y x) x)))))
(fma.f64 (/.f64 y x) x x)
(fma.f64 x (/.f64 y x) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) x) x)))
(-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 y x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y x) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 y x) x))))))
(+.f64 (*.f64 (/.f64 y x) x) x)
(+.f64 x (*.f64 (/.f64 y x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) (*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) x))
#s(approx (/ x (+ y x)) (fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 x y)))
#s(approx (/ x (+ y x)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 y #s(literal -3 binary64))) x) (pow.f64 y #s(literal -2 binary64))) (/.f64 x y)))
#s(approx x x)
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 y x))
#s(approx (+ (* (/ y x) x) x) y)
#s(approx (+ (* (/ y x) x) x) (+.f64 y x))
#s(approx (/ y x) (/.f64 y x))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
#s(approx (/ x (+ y x)) (-.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y x)))
#s(approx (/ x (+ y x)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (-.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
#s(approx (+ y x) x)
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (+ (* (/ y x) x) x) x)
#s(approx (+ (* (/ y x) x) x) (fma.f64 (/.f64 y x) x x))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64) y) x)))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 y y)) x) y) x)))
#s(approx (+ y x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (/ y x) x) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (/ x (+ y x)) (fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))) y #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) y) (pow.f64 x #s(literal -1 binary64))) y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (*.f64 x x) y))) y))
#s(approx (/ x (+ y x)) (/.f64 (-.f64 (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 x x) y))) y))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
#s(approx (+ (* (/ y x) x) x) (fma.f64 (/.f64 x y) y y))
#s(approx (/ x (+ y x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x x)) y) x) y))
#s(approx (/ x (+ y x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 x x)) y) x) y))
#s(approx (+ y x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
#s(approx (+ (* (/ y x) x) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))

eval10.0ms (0.7%)

Memory
-24.7MiB live, 21.6MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 417 to 313 computations (77.9% saved)

prune3.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh000
Picked033
Done011
Total85489
Accuracy
100.0%
Counts
89 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 y x))
99.2%
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
52.9%
(/.f64 x #s(approx (+ y x) y))
48.7%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 62 to 36 computations (41.9% saved)

regimes6.0ms (0.4%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
(/.f64 x #s(approx (+ y x) y))
(/.f64 x (+.f64 y x))
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
Outputs
(/.f64 x (+.f64 y x))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
100.0%1(/.f64 x (+.f64 y x))
100.0%1x
100.0%1y
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes4.0ms (0.3%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
(/.f64 x #s(approx (+ y x) y))
Outputs
(/.f64 x #s(approx (+ y x) y))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
98.2%2(/.f64 x (+.f64 y x))
80.5%3x
71.8%3y
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.2%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Outputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
48.7%1y
48.7%1x
48.7%1(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00014889029394531936
0.9998571151247603
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify52.0ms (3.6%)

Memory
-37.5MiB live, 65.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01334
11634
21934
32734
45034
522334
6214634
7533134
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 7378697629483821/36893488147419103232 binary64)) (/.f64 x #s(approx (+ y x) y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Outputs
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 7378697629483821/36893488147419103232 binary64)) (/.f64 x #s(approx (+ y x) y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))

derivations60.0ms (4.2%)

Memory
26.9MiB live, 74.1MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 34 to 13 computations (61.8% saved)

preprocess15.0ms (1.1%)

Memory
-18.6MiB live, 27.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 78 to 34 computations (56.4% saved)

end0.0ms (0%)

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

Profiling

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