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

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze35.0ms (1.5%)

Memory
-29.1MiB live, 26.7MiB allocated; 22ms 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)

sample631.0ms (28.2%)

Memory
38.8MiB live, 1 068.9MiB allocated; 156ms collecting garbage
Samples
383.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-div: 77.0ms (55.5% of total)
ival-add: 52.0ms (37.5% of total)
ival-true: 5.0ms (3.6% of total)
ival-assert: 3.0ms (2.2% of total)
adjust: 2.0ms (1.4% of total)
Bogosity

explain59.0ms (2.6%)

Memory
-10.0MiB live, 89.5MiB allocated; 36ms 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
28.0ms512×0valid
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 (53.8% of total)
ival-add: 3.0ms (40.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess40.0ms (1.8%)

Memory
-18.0MiB live, 25.9MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
12429
23129
33529
44129
54729
64729
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
0.7MiB live, 0.7MiB 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)

simplify3.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

localize13.0ms (0.6%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.01953125
(/.f64 x (+.f64 y x))
Samples
9.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (57.3% of total)
ival-add: 1.0ms (28.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
2 → 25
Calls
Call 1
Inputs
(/.f64 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 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 (+ y x)) (+ y x))
1.0ms
y
@inf
((/ x (+ y x)) (+ y x))
0.0ms
x
@-inf
((/ x (+ y x)) (+ y x))
0.0ms
x
@0
((/ x (+ y x)) (+ y x))
0.0ms
y
@-inf
((/ x (+ y x)) (+ y x))

simplify206.0ms (9.2%)

Memory
15.6MiB live, 206.2MiB allocated; 71ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124321
1374299
21035281
33960278
08121264
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 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (+.f64 #s(literal -1 binary64) (/.f64 y x)) y) x))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (+.f64 #s(literal -1 binary64) (/.f64 y x)) y) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (-.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) 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)))
(fma.f64 (/.f64 x y) y y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))) 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 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))

rewrite168.0ms (7.5%)

Memory
-23.3MiB live, 316.3MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1238
21448
314028
091408
Stop Event
iter limit
node limit
iter limit
Counts
2 → 274
Calls
Call 1
Inputs
(/.f64 x (+.f64 y x))
(+.f64 y x)
Outputs
(*.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) x (*.f64 y y)))
(*.f64 (-.f64 y x) (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))) (-.f64 (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))) (-.f64 (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y x) x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y x) x))) (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)))) (-.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y x) x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))) (*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y x) x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y x) x)))) (-.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))
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(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) y) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) y) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))))
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (*.f64 y (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 x (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (*.f64 x (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 y (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) y) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) y) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))))
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (*.f64 y (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 x (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (*.f64 x (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 y (fma.f64 (-.f64 y x) x (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) y) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) x) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) y) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (neg.f64 (neg.f64 y)) x)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 y x)))
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 (neg.f64 y) x)
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 (neg.f64 x) y)
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x (neg.f64 y))
(+.f64 x y)

eval32.0ms (1.4%)

Memory
0.9MiB live, 92.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 9 490 to 963 computations (89.9% saved)

prune6.0ms (0.3%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2865291
Fresh000
Picked011
Done000
Total2866292
Accuracy
100.0%
Counts
292 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 y x))
99.3%
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
86.7%
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
45.5%
#s(approx (/ x (+ y x)) (/.f64 x y))
54.3%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
54.5%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 107 to 72 computations (32.7% saved)

simplify134.0ms (6%)

Memory
-17.5MiB live, 172.8MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
cost-diff0
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
cost-diff3
(fma.f64 (/.f64 x y) y y)
cost-diff0
(/.f64 y x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff0
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ y x)) (/.f64 x y))
cost-diff0
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
cost-diff0
(/.f64 y x)
cost-diff0
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
cost-diff0
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
cost-diff3
(fma.f64 (/.f64 y x) x x)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017110
026110
141110
263104
310992
417792
5112892
6307492
7394392
8567592
9765892
0824592
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
x
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
(fma.f64 (/.f64 y x) x x)
(/.f64 y x)
y
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
x
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
(fma.f64 (/.f64 x y) y y)
(/.f64 x y)
y
Outputs
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
(/.f64 x #s(approx (+ y x) (+.f64 y x)))
x
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
#s(approx (+ y x) (+.f64 y x))
(fma.f64 (/.f64 y x) x x)
(+.f64 y x)
(/.f64 y x)
y
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
(/.f64 x #s(approx (+ y x) (+.f64 y x)))
x
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
#s(approx (+ y x) (+.f64 y x))
(fma.f64 (/.f64 x y) y y)
(+.f64 y x)
(/.f64 x y)
y

localize36.0ms (1.6%)

Memory
20.4MiB live, 66.9MiB allocated; 2ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x y)
accuracy0.0
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
accuracy0.015625
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
accuracy8.20074760503979
(fma.f64 (/.f64 x y) y y)
accuracy0.0
(/.f64 y x)
accuracy0.0
(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy29.011327838704137
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy0.0
(/.f64 x y)
accuracy34.69278174793287
#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy28.88994789633073
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
accuracy0.0
(/.f64 y x)
accuracy0.0
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
accuracy0.015625
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
accuracy6.616603529716354
(fma.f64 (/.f64 y x) x x)
Samples
26.0ms255×0valid
1.0ms5exit
Compiler

Compiled 74 to 14 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 6.0ms (39.7% of total)
ival-add: 4.0ms (26.5% of total)
ival-mult: 3.0ms (19.8% of total)
ival-sub: 1.0ms (6.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series87.0ms (3.9%)

Memory
-31.7MiB live, 42.4MiB allocated; 69ms collecting garbage
Counts
12 → 30
Calls
Call 1
Inputs
(fma.f64 (/.f64 y x) x x)
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
(/.f64 y x)
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(fma.f64 (/.f64 x y) y y)
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
Outputs
y
(+ x y)
(/ 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)
(* -1 (/ y x))
(/ (- x y) x)
x
(* x (+ 1 (/ 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 (* x (- (* -1 (/ y x)) 1)))
(+ 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))))
(* y (+ 1 (/ x y)))
(/ (+ 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 y) (/ 1 x)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -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) (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
83.0ms
x
@-inf
((+ (* (/ y x) x) x) (/ x (+ y x)) (+ y x) (/ y x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (+ (* (/ x y) y) y) (/ x (+ y x)) (+ y x))
1.0ms
y
@-inf
((+ (* (/ y x) x) x) (/ x (+ y x)) (+ y x) (/ y x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (+ (* (/ x y) y) y) (/ x (+ y x)) (+ y x))
1.0ms
y
@inf
((+ (* (/ y x) x) x) (/ x (+ y x)) (+ y x) (/ y x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (+ (* (/ x y) y) y) (/ x (+ y x)) (+ y x))
1.0ms
x
@inf
((+ (* (/ y x) x) x) (/ x (+ y x)) (+ y x) (/ y x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (+ (* (/ x y) y) y) (/ x (+ y x)) (+ y x))
1.0ms
x
@0
((+ (* (/ y x) x) x) (/ x (+ y x)) (+ y x) (/ y x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (+ (* (/ x y) y) y) (/ x (+ y x)) (+ y x))

simplify252.0ms (11.2%)

Memory
13.1MiB live, 145.3MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131347
1388326
21058308
34021305
08255292
Stop Event
iter limit
node limit
Counts
30 → 28
Calls
Call 1
Inputs
y
(+ x y)
(/ 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)
(* -1 (/ y x))
(/ (- x y) x)
x
(* x (+ 1 (/ 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 (* x (- (* -1 (/ y x)) 1)))
(+ 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))))
(* y (+ 1 (/ x y)))
(/ (+ 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 y) (/ 1 x)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -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) (/ 1 y))))
Outputs
y
(+ x y)
(+.f64 x y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) y)) x (/.f64 #s(literal 1 binary64) y)) x)
(/ y x)
(/.f64 y x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ (- x y) x)
(/.f64 (-.f64 x y) x)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(/.f64 (-.f64 x y) x)
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x)
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (+.f64 #s(literal -1 binary64) (/.f64 y x)) y) x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(/.f64 (fma.f64 (/.f64 y x) y (-.f64 x y)) x)
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (+.f64 #s(literal -1 binary64) (/.f64 y x)) y) x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (-.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/ (- (+ 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 y) (/ 1 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* -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) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))

rewrite172.0ms (7.7%)

Memory
-6.2MiB live, 146.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01794
02694
19694
261276
0868876
Stop Event
iter limit
node limit
iter limit
Counts
12 → 365
Calls
Call 1
Inputs
(fma.f64 (/.f64 y x) x x)
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x))
(/.f64 y x)
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(fma.f64 (/.f64 x y) y y)
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (+.f64 x y))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) (*.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y))) (*.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))) (fma.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x))))))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 y x))
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(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 x (/.f64 x (-.f64 y x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (*.f64 x y) (/.f64 (/.f64 y x) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(fma.f64 (*.f64 x y) (/.f64 (/.f64 x y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))
(fma.f64 (neg.f64 y) (/.f64 x (neg.f64 x)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 y) (/.f64 x (neg.f64 x)) x)
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(fma.f64 (neg.f64 x) (/.f64 y (neg.f64 y)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y x) x)
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (/.f64 x y) y y)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (/.f64 y x) (/.f64 (*.f64 x y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(fma.f64 (/.f64 y x) (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 y x) (*.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 y x) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 y x) x x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 x (/.f64 (*.f64 (/.f64 y x) y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 x (/.f64 y x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (/.f64 y x) x)
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))
(fma.f64 y (/.f64 y (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(fma.f64 y (/.f64 (*.f64 x (/.f64 x y)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(fma.f64 y (/.f64 x y) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 y #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 y (*.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 #s(literal 1 binary64) x) y))))
(-.f64 x (neg.f64 y))
(-.f64 y (*.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y (-.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1 binary64) x) y)))
(+.f64 (*.f64 #s(literal 1 binary64) x) y)
(+.f64 x y)
(+.f64 y (*.f64 #s(literal 1 binary64) x))
(+.f64 y x)
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ y x) (+.f64 x y))))
(/.f64 x #s(approx (+ y x) (+.f64 x y)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ y x) (+.f64 x y))))
#s(approx (+ y x) (+.f64 x y))
(neg.f64 (neg.f64 #s(approx (+ y x) (+.f64 x y))))

eval34.0ms (1.5%)

Memory
-3.0MiB live, 43.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 6 632 to 1 044 computations (84.3% saved)

prune36.0ms (1.6%)

Memory
-33.6MiB live, 20.4MiB allocated; 8ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2400240
Fresh000
Picked055
Done011
Total2406246
Accuracy
100.0%
Counts
246 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 y x))
99.3%
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
86.7%
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
45.5%
#s(approx (/ x (+ y x)) (/.f64 x y))
54.3%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
54.5%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 112 to 57 computations (49.1% saved)

regimes7.0ms (0.3%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 x (+.f64 y x))
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)))
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
Outputs
(/.f64 x (+.f64 y x))
Calls

3 calls:

2.0ms
y
2.0ms
x
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)

regimes5.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
Outputs
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
Calls

3 calls:

2.0ms
y
1.0ms
x
1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
97.4%2(/.f64 x (+.f64 y x))
78.4%3x
75.2%3y
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes1.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
Outputs
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
96.6%2(/.f64 x (+.f64 y x))
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB 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
54.5%1y
54.5%1x
54.5%1(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.36753370286051784
0.9999775596291892
Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.36753370286051784
0.9999775596291892
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify11.0ms (0.5%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01764
12264
23064
33764
43964
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 binary64)) #s(approx (/ x (+ y x)) (/.f64 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 1/2 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))

derivations244.0ms (10.9%)

Memory
-7.5MiB live, 82.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124321
1374299
21035281
33960278
08121264
Stop Event
done
iter limit
node limit
Compiler

Compiled 64 to 17 computations (73.4% saved)

preprocess21.0ms (0.9%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 138 to 42 computations (69.6% saved)

end0.0ms (0%)

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

Profiling

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