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

Time bar (total: 2.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.7%)

Memory
-0.6MiB live, 37.9MiB allocated
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)

sample671.0ms (29.1%)

Memory
-13.0MiB live, 897.8MiB allocated
Samples
417.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-div: 172.0ms (73% of total)
ival-add: 55.0ms (23.4% of total)
ival-true: 6.0ms (2.5% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain71.0ms (3.1%)

Memory
25.6MiB live, 102.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(/.f64 x (+.f64 x y))
00-0-(+.f64 x y)
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
20.0ms512×0valid
Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 6.0ms (63.6% of total)
ival-add: 3.0ms (31.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess30.0ms (1.3%)

Memory
-18.5MiB live, 67.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
13525
27225
314925
433425
551525
663925
765925
868625
969825
045
065
175
075
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 x (+.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
1710
0710
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
x
(+.f64 x y)
y
Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
x
(+.f64 x y)
(+.f64 y x)
y

localize14.0ms (0.6%)

Memory
-2.3MiB live, 36.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.0078125
(/.f64 x (+.f64 x y))
Samples
11.0ms256×0valid
Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (60.6% of total)
ival-add: 1.0ms (30.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
2 → 25
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
(+.f64 x y)
Outputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ x (+ x y)) (+ x y))
1.0ms
y
@inf
((/ x (+ x y)) (+ x y))
0.0ms
x
@-inf
((/ x (+ x y)) (+ x y))
0.0ms
x
@0
((/ x (+ x y)) (+ x y))
0.0ms
y
@-inf
((/ x (+ x y)) (+ x y))

simplify230.0ms (10%)

Memory
-9.4MiB live, 67.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124306
1369287
2946257
33744255
08369242
Stop Event
iter limit
node limit
Counts
25 → 23
Calls
Call 1
Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ 1 (/ x y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
y
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite181.0ms (7.9%)

Memory
-10.1MiB live, 192.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1288
21898
318498
087178
Stop Event
iter limit
node limit
iter limit
Counts
2 → 316
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
(+.f64 x y)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (neg.f64 x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))))
(*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))))
(*.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (*.f64 (-.f64 x y) x) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) x))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))
(*.f64 (-.f64 x y) (/.f64 (/.f64 x (+.f64 y x)) (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x)))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 y x) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 #s(literal 0 binary64) (+.f64 y x)) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (-.f64 (neg.f64 x) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (neg.f64 y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y))
(-.f64 x (/.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) x)
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)

eval34.0ms (1.5%)

Memory
3.4MiB live, 77.5MiB allocated
Compiler

Compiled 8 043 to 1 060 computations (86.8% saved)

prune4.0ms (0.2%)

Memory
15.1MiB live, 15.1MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3243327
Fresh000
Picked011
Done000
Total3244328
Accuracy
100.0%
Counts
328 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
49.8%
#s(approx (/ x (+ x y)) (/.f64 x y))
52.0%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify4.0ms (0.2%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 (+.f64 y x) x)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ x y)) (/.f64 x y))
cost-diff0
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01140
01540
12040
22338
32638
43938
54338
64638
04638
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ x y)) (/.f64 x y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
#s(literal 1 binary64)
(/.f64 (+.f64 y x) x)
(+.f64 y x)
y
x
Outputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ x y)) (/.f64 x y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 x (+.f64 y x))
#s(literal 1 binary64)
(/.f64 (+.f64 y x) x)
(+.f64 y x)
y
x

localize24.0ms (1%)

Memory
-7.1MiB live, 32.0MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.00390625
(/.f64 (+.f64 y x) x)
accuracy0.7425529810374365
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
accuracy0.0
(/.f64 x y)
accuracy32.115818204405656
#s(approx (/ x (+ x y)) (/.f64 x y))
accuracy30.7055011208929
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Samples
18.0ms256×0valid
Compiler

Compiled 76 to 22 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 7.0ms (71.2% of total)
ival-add: 2.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
6 → 29
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (/.f64 x y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
Outputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ y x)
(/ (+ x y) x)
y
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ 1 (/ x y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify133.0ms (5.8%)

Memory
-16.9MiB live, 102.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127324
1380305
2962275
33835273
08385260
Stop Event
iter limit
node limit
Counts
29 → 27
Calls
Call 1
Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ y x)
(/ (+ x y) x)
y
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ 1 (/ x y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 y x) x)
y
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+ 1 (/ y x))
(/.f64 (+.f64 y x) x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(* y (+ (/ 1 x) (/ 1 y)))
(/.f64 (+.f64 y x) x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite136.0ms (5.9%)

Memory
22.6MiB live, 143.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
01532
17132
243032
3458232
0836032
Stop Event
iter limit
node limit
iter limit
Counts
6 → 449
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (/.f64 x y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
Outputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 x (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x)))) (-.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (-.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (-.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (-.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 x #s(literal -1 binary64))))
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(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 1 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 y x)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)

eval87.0ms (3.8%)

Memory
-11.9MiB live, 62.2MiB allocated
Compiler

Compiled 8 409 to 1 376 computations (83.6% saved)

prune6.0ms (0.3%)

Memory
24.1MiB live, 24.0MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4591460
Fresh000
Picked033
Done011
Total4595464
Accuracy
100.0%
Counts
464 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
48.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
49.8%
#s(approx (/ x (+ x y)) (/.f64 x y))
52.0%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Compiler

Compiled 39 to 30 computations (23.1% saved)

simplify8.0ms (0.3%)

Memory
-44.8MiB live, 3.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
#s(approx (/ (+ y x) x) (/.f64 y x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01026
11326
01326
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
#s(literal 1 binary64)
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
y
x
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
#s(literal 1 binary64)
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
y
x

localize17.0ms (0.7%)

Memory
27.5MiB live, 27.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y x)
accuracy0.7425529810374365
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
accuracy31.841380003514708
#s(approx (/ (+ y x) x) (/.f64 y x))
Samples
12.0ms256×0valid
Compiler

Compiled 46 to 17 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 5.0ms (78% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
3 → 22
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
Outputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ y x)
(/ (+ x y) x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ 1 (/ y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ (/ 1 x) (/ 1 y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))
1.0ms
y
@-inf
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))
1.0ms
y
@inf
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))
0.0ms
x
@0
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))
0.0ms
y
@0
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))

simplify157.0ms (6.8%)

Memory
-9.5MiB live, 101.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117307
1342288
2872258
33262256
08240243
Stop Event
iter limit
node limit
Counts
22 → 22
Calls
Call 1
Inputs
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ y x)
(/ (+ x y) x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+ 1 (/ y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* y (+ (/ 1 x) (/ 1 y)))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)

rewrite174.0ms (7.6%)

Memory
5.4MiB live, 168.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
01023
14623
225823
3224223
0841923
Stop Event
iter limit
node limit
iter limit
Counts
3 → 85
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))))
(*.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (/ (+ y x) x) (/.f64 y x))))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))))))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))))
(/.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))))
(exp.f64 (fma.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal -1/2 binary64) (*.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 y x)))))
(*.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))))
(*.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 1 binary64))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x)))))))
(/.f64 (neg.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1/2 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))))
(/.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ y x) x) (/.f64 y x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 y x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) (/.f64 y #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) x)) (*.f64 x x))
(/.f64 (/.f64 y #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)))
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))

eval10.0ms (0.4%)

Memory
16.2MiB live, 16.2MiB allocated
Compiler

Compiled 1 634 to 335 computations (79.5% saved)

prune27.0ms (1.2%)

Memory
-35.5MiB live, 18.3MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done044
Total975102
Accuracy
100.0%
Counts
102 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
48.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
49.8%
#s(approx (/ x (+ x y)) (/.f64 x y))
52.0%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Compiler

Compiled 78 to 48 computations (38.5% saved)

regimes6.0ms (0.3%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (/.f64 x y))
(/.f64 x (+.f64 x y))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
Outputs
(/.f64 x (+.f64 x y))
Calls

3 calls:

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

Compiled 7 to 8 computations (-14.3% saved)

regimes19.0ms (0.8%)

Memory
-23.3MiB live, 14.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (/.f64 x y))
Outputs
#s(approx (/ x (+ x y)) (/.f64 x y))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Calls

3 calls:

16.0ms
y
2.0ms
x
1.0ms
(/.f64 x (+.f64 x y))
Results
AccuracySegmentsBranch
77.8%3x
76.8%3y
98.3%2(/.f64 x (+.f64 x y))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 x (+.f64 x y))
Results
AccuracySegmentsBranch
52.0%1y
52.0%1x
52.0%1(/.f64 x (+.f64 x y))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00033615510210834514
0.9913263682850678
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify9.0ms (0.4%)

Memory
12.7MiB live, 12.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01336
11636
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Outputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

soundness202.0ms (8.8%)

Memory
-29.4MiB live, 128.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124306
1369287
2946257
33744255
08369242
Stop Event
done
iter limit
node limit
Compiler

Compiled 41 to 22 computations (46.3% saved)

preprocess17.0ms (0.7%)

Memory
32.1MiB live, 32.1MiB allocated
Compiler

Compiled 82 to 34 computations (58.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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