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

Time bar (total: 2.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.6%)

Memory
15.9MiB live, 15.9MiB 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)

sample715.0ms (26.2%)

Memory
11.4MiB live, 737.7MiB allocated
Samples
431.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 191.0ms
ival-div: 134.0ms (70.2% of total)
ival-add: 46.0ms (24.1% of total)
ival-true: 8.0ms (4.2% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain52.0ms (1.9%)

Memory
-32.7MiB live, 83.4MiB allocated
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
23.0ms512×0valid
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 (58.4% of total)
ival-add: 3.0ms (43.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (0.5%)

Memory
32.8MiB live, 32.8MiB allocated
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 y x))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.2%)

Memory
-32.9MiB live, 5.6MiB allocated
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 (0.5%)

Memory
27.6MiB live, 27.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0234375
(/.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 (61.3% of total)
ival-add: 1.0ms (30.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
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))

simplify239.0ms (8.8%)

Memory
-29.9MiB live, 254.9MiB allocated
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))

rewrite183.0ms (6.7%)

Memory
12.1MiB live, 242.5MiB allocated
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)

eval47.0ms (1.7%)

Memory
16.0MiB live, 68.5MiB allocated
Compiler

Compiled 9 490 to 963 computations (89.9% saved)

prune9.0ms (0.3%)

Memory
-12.2MiB live, 24.0MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2847291
Fresh000
Picked011
Done000
Total2848292
Accuracy
100.0%
Counts
292 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x))
100.0%
(/.f64 x (+.f64 y x))
99.4%
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
51.0%
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
50.0%
#s(approx (/ x (+ y x)) (/.f64 x y))
50.4%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
49.5%
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
50.7%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 161 to 108 computations (32.9% saved)

simplify115.0ms (4.2%)

Memory
14.9MiB live, 131.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
cost-diff0
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
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
018119
027119
142119
259116
388110
4165110
5608110
62708110
74878110
87020110
08193110
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
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
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
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y

localize41.0ms (1.5%)

Memory
6.4MiB live, 80.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy0.046875
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
accuracy1.5335048546488657
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
accuracy32.2610601952641
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
accuracy0.0
(/.f64 y x)
accuracy0.0
(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy31.775662488218348
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy0.0
(/.f64 x y)
accuracy31.99868671987731
#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy31.57101583223124
#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))
accuracy0.0234375
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
accuracy9.004304090296687
(fma.f64 (/.f64 y x) x x)
Samples
28.0ms256×0valid
Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (47.3% of total)
ival-add: 3.0ms (20.3% of total)
ival-mult: 3.0ms (20.3% of total)
ival-sub: 2.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.5%)

Memory
-20.2MiB live, 18.1MiB allocated
Counts
13 → 46
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))
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x 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)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
1
(+ 1 (* -1 (/ x y)))
x
(* x (+ 1 (/ y x)))
(+ 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 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ x (pow y 2)))
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* -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 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ y (* -1 x)) (pow y 2))
(/ (- y x) y)
(* 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 (* -1 (/ x y))) y)
(* -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))))
(* -1 (/ (- (/ x y) 1) y))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
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 x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)))
2.0ms
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 x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)))
2.0ms
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 x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)))
2.0ms
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 x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)))
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 x)) (* (/ (- 1 (/ x y)) y) x) (/ (- 1 (/ x y)) y) (- 1 (/ x y)))

simplify159.0ms (5.8%)

Memory
6.0MiB live, 215.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156489
1456451
21179433
34478428
08218418
Stop Event
iter limit
node limit
Counts
46 → 44
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)
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
1
(+ 1 (* -1 (/ x y)))
x
(* x (+ 1 (/ y x)))
(+ 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 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ x (pow y 2)))
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* -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 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ y (* -1 x)) (pow y 2))
(/ (- y x) y)
(* 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 (* -1 (/ x y))) y)
(* -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))))
(* -1 (/ (- (/ x y) 1) y))
Outputs
y
(+ x y)
(+.f64 x y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* 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 y x) (pow.f64 y #s(literal 3 binary64)))) 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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 y x) (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(+ 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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(* -1 (/ (pow x 2) (pow y 2)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x))
(* -1 (/ x (pow y 2)))
(/.f64 (neg.f64 x) (*.f64 y y))
(* x (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x))
(* -1 (* x (- (/ 1 (pow y 2)) (/ 1 (* x y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) 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))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/ (+ y (* -1 x)) (pow y 2))
(/.f64 (-.f64 y x) (*.f64 y y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* y (+ 1 (/ x y)))
(+.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) 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 (* -1 (/ x y))) y)
(/.f64 (-.f64 y x) (*.f64 y 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 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)) 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 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ (- (/ x y) 1) y))
(/.f64 (-.f64 y x) (*.f64 y y))

rewrite134.0ms (4.9%)

Memory
-13.1MiB live, 141.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018102
027102
197102
261993
0886993
Stop Event
iter limit
node limit
iter limit
Counts
13 → 235
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))
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x 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 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 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 #s(literal 1 binary64) (/.f64 y x)) 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 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.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 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 (*.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 (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 (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 (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 (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))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (+.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 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))

eval53.0ms (2%)

Memory
4.2MiB live, 41.6MiB allocated
Compiler

Compiled 7 532 to 1 213 computations (83.9% saved)

prune5.0ms (0.2%)

Memory
17.5MiB live, 17.5MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2770277
Fresh022
Picked055
Done011
Total2778285
Accuracy
100.0%
Counts
285 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x))
100.0%
(/.f64 x (+.f64 y x))
99.4%
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
51.0%
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
50.0%
#s(approx (/ x (+ y x)) (/.f64 x y))
50.4%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
49.5%
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
50.7%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 83 to 56 computations (32.5% saved)

simplify122.0ms (4.5%)

Memory
2.8MiB live, 40.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01356
02150
13850
210450
338050
4126150
5232250
6308050
7345250
8361050
9374250
10375250
11375250
12375250
13375250
14375250
0375250
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 y x)
y
x
(+.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x))
x
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(sqrt.f64 y)
y
Outputs
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
x
(+.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x))
(/.f64 x (+.f64 y x))
x
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)
(sqrt.f64 y)
y

localize44.0ms (1.6%)

Memory
-19.8MiB live, 61.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 y)
accuracy0.015625
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x))
accuracy0.14453125
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
accuracy0.0
(/.f64 y x)
accuracy0.0
(+.f64 #s(literal -1 binary64) (/.f64 y x))
accuracy0.05078125
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
accuracy15.76275405151092
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
Samples
17.0ms134×0valid
14.0ms122×0invalid
Compiler

Compiled 50 to 16 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 8.0ms (41.5% of total)
ival-div: 6.0ms (31.1% of total)
ival-mult: 3.0ms (15.6% of total)
ival-sqrt: 2.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
7 → 46
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 y x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x))
(sqrt.f64 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)))
(/ (pow y 2) (pow x 2))
(/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2))
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2))
(/ y x)
(/ (+ y (* -1 x)) 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 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))
-1
(- (/ y x) 1)
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 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) 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))))
(sqrt 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)
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x 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))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2))))
(* -1 (/ x (* y (pow (sqrt -1) 2))))
(* -1 (/ (+ (/ x (pow (sqrt -1) 2)) (/ (pow x 2) (* y (pow (sqrt -1) 4)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow (sqrt -1) 6)))) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) (* y (pow (sqrt -1) 8))) (* -1 (/ (pow x 3) (pow (sqrt -1) 6)))) y)) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
Calls

6 calls:

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

simplify134.0ms (4.9%)

Memory
-1.8MiB live, 109.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199575
1588526
21731491
37175491
08026475
Stop Event
iter limit
node limit
Counts
46 → 44
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)))
(/ (pow y 2) (pow x 2))
(/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2))
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2))
(/ y x)
(/ (+ y (* -1 x)) 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 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))
-1
(- (/ y x) 1)
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 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) 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))))
(sqrt 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)
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x 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))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2))))
(* -1 (/ x (* y (pow (sqrt -1) 2))))
(* -1 (/ (+ (/ x (pow (sqrt -1) 2)) (/ (pow x 2) (* y (pow (sqrt -1) 4)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow (sqrt -1) 6)))) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) (* y (pow (sqrt -1) 8))) (* -1 (/ (pow x 3) (pow (sqrt -1) 6)))) y)) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* 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)))
(fma.f64 (*.f64 x x) (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) (/.f64 x y))
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) (-.f64 y x))
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2))
(fma.f64 (/.f64 (/.f64 y x) x) (-.f64 y x) #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 x)) x)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
y
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(/.f64 (-.f64 x y) x)
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (/.f64 y x) x) (-.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) (fma.f64 (/.f64 y x) (/.f64 (-.f64 x y) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (/.f64 y x) x) (-.f64 y x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(-.f64 (/.f64 y x) #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 (/.f64 y x) x) (-.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) (fma.f64 (/.f64 y x) (/.f64 (-.f64 x y) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))
(fma.f64 (/.f64 (/.f64 y x) x) (-.f64 y x) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (/.f64 y x) x) (-.f64 y x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (/.f64 (-.f64 x y) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(sqrt y)
(sqrt.f64 y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.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 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 x x)) y)) y)
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 y y))
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) y (/.f64 (/.f64 y x) x)) y)
(* y (- (/ 1 x) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 (neg.f64 x) (/.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 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 x x)) y)) y)
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) y (/.f64 (/.f64 y x) x)) y)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (* y (pow (sqrt -1) 2)))
y
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 x y) y y)
(* -1 (/ x (* y (pow (sqrt -1) 2))))
(/.f64 x y)
(* -1 (/ (+ (/ x (pow (sqrt -1) 2)) (/ (pow x 2) (* y (pow (sqrt -1) 4)))) y))
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (neg.f64 x) y) x) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow (sqrt -1) 6)))) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x)) y) x) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) (* y (pow (sqrt -1) 8))) (* -1 (/ (pow x 3) (pow (sqrt -1) 6)))) y)) (/ (pow x 2) (pow (sqrt -1) 4))) y)) (/ x (pow (sqrt -1) 2))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (neg.f64 y)) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x)) y) x) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)

rewrite127.0ms (4.7%)

Memory
6.7MiB live, 162.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
02144
18644
262844
0848144
Stop Event
iter limit
node limit
iter limit
Counts
7 → 343
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 y x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x))
(sqrt.f64 y)
Outputs
#s(approx (/ x (+ y x)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64))))) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 4 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 1 binary64))))
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(fma.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 x y) x)))
(fma.f64 (*.f64 (-.f64 x y) 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))))))
(fma.f64 (*.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (-.f64 x y) 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 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) 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 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 x y) x)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(exp.f64 (/.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))

eval60.0ms (2.2%)

Memory
-8.5MiB live, 112.1MiB allocated
Compiler

Compiled 11 587 to 1 402 computations (87.9% saved)

prune8.0ms (0.3%)

Memory
30.1MiB live, 30.1MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4150415
Fresh000
Picked022
Done066
Total4158423
Accuracy
100.0%
Counts
423 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x))
100.0%
(/.f64 x (+.f64 y x))
99.4%
(/.f64 x #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))
51.0%
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
50.0%
#s(approx (/ x (+ y x)) (/.f64 x y))
50.4%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
49.5%
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
50.7%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 166 to 83 computations (50% saved)

regimes11.0ms (0.4%)

Memory
-6.5MiB live, 31.6MiB allocated
Counts
8 → 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 y x) x x)))
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
#s(approx (/ x (+ y x)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) x))
Outputs
(/.f64 x (+.f64 y x))
Calls

3 calls:

5.0ms
y
3.0ms
x
2.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory
15.1MiB live, 15.1MiB allocated
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
x
2.0ms
y
1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
74.5%3x
76.7%3y
98.0%2(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes7.0ms (0.3%)

Memory
-41.3MiB live, 4.3MiB allocated
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:

7.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
97.2%2(/.f64 x (+.f64 y x))
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
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
x
1.0ms
y
1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
50.7%1x
50.7%1y
50.7%1(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0003352808307800914
0.9988150627058487
Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0003352808307800914
0.9988150627058487
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify10.0ms (0.4%)

Memory
22.7MiB live, 22.6MiB allocated
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 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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 1152921504606847/2305843009213693952 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))

soundness320.0ms (11.7%)

Memory
-28.2MiB live, 169.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 77 to 34 computations (55.8% saved)

preprocess51.0ms (1.9%)

Memory
2.2MiB live, 38.2MiB allocated
Compiler

Compiled 138 to 42 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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