Statistics.Sample:$skurtosis from math-functions-0.1.5.2

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze10.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB 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
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample893.0ms (20.7%)

Memory
-11.9MiB live, 656.2MiB allocated
Samples
634.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-mult: 169.0ms (42.7% of total)
ival-div: 138.0ms (34.9% of total)
ival-sub: 76.0ms (19.2% of total)
ival-true: 6.0ms (1.5% of total)
exact: 4.0ms (1% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain80.0ms (1.9%)

Memory
5.1MiB live, 120.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-1(6.093252843055557e-136 5.15979950626591e-158)(/.f64 x (*.f64 y y))
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 y y)
00-0-(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (*.f64 y y))n/u160
(*.f64 y y)underflow60
Confusion
Predicted +Predicted -
+161
-0239
Precision
1.0
Recall
0.9411764705882353
Confusion?
Predicted +Predicted MaybePredicted -
+1601
-00239
Precision?
1.0
Recall?
0.9411764705882353
Freqs
test
numberfreq
0240
116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (45.4% of total)
ival-div: 3.0ms (27.2% of total)
ival-sub: 2.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.4%)

Memory
-15.6MiB live, 28.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
13839
29039
314839
419739
067
097
1157
2327
3587
4807
5937
61017
01017
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.9%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
cost-diff0
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11518
23218
35818
48018
59318
610118
010118
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)
Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

localize16.0ms (0.4%)

Memory
29.3MiB live, 29.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy0.0
(*.f64 y y)
accuracy6.780350815541458
(/.f64 x (*.f64 y y))
Samples
11.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (41% of total)
ival-mult: 2.0ms (41% of total)
ival-sub: 1.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
-28.8MiB live, 9.4MiB allocated
Counts
3 → 7
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
-3
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(pow y 2)
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms
y
@0
((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms
x
@-inf
((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms
x
@0
((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))
1.0ms
y
@inf
((- (/ x (* y y)) 3) (/ x (* y y)) (* y y))

simplify108.0ms (2.5%)

Memory
22.5MiB live, 98.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02137
14437
210337
333637
490137
5314837
6567937
7661837
8716137
0803337
Stop Event
iter limit
node limit
Counts
7 → 7
Calls
Call 1
Inputs
-3
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(pow y 2)
Outputs
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(pow y 2)
(*.f64 y y)

rewrite111.0ms (2.6%)

Memory
-26.0MiB live, 73.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13415
221015
3321715
0873615
Stop Event
iter limit
node limit
iter limit
Counts
3 → 105
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 27 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal -3 binary64) y) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) (*.f64 y y)) #s(literal 9 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal -3 binary64) y) #s(literal 9 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))))) (fma.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal -3 binary64) y) #s(literal 9 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 9 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))) #s(literal 27 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -27 binary64)) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64))) (/.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 18 binary64))) #s(literal 19683 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 729 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)))) (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))))))
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(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 x y) y))
(sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(fabs.f64 (/.f64 (/.f64 x y) y))
(exp.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (/.f64 x y) y)))
(+.f64 (cosh.f64 (log.f64 (/.f64 (/.f64 x y) y))) (sinh.f64 (log.f64 (/.f64 (/.f64 x y) y))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))

eval49.0ms (1.1%)

Memory
-16.9MiB live, 21.6MiB allocated
Compiler

Compiled 3 311 to 404 computations (87.8% saved)

prune4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1045109
Fresh000
Picked011
Done000
Total1046110
Accuracy
100.0%
Counts
110 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
99.9%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
93.9%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
47.1%
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64))
40.6%
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))) #s(literal 3 binary64))
50.2%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 133 to 102 computations (23.3% saved)

simplify578.0ms (13.4%)

Memory
7.4MiB live, 161.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
cost-diff0
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
cost-diff0
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
cost-diff0
(sqrt.f64 (/.f64 x y))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64))
cost-diff2
(/.f64 (/.f64 x y) (*.f64 y y))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))) #s(literal 3 binary64))
cost-diff4
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
cost-diff0
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) y)
cost-diff0
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030208
050212
169194
2115184
3288184
41234184
54973184
67333184
77685184
08125184
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))))
(sqrt.f64 x)
x
(sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
y
(*.f64 y y)
#s(literal 3 binary64)
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))))
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
x
y
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))
(/.f64 (/.f64 x y) (*.f64 y y))
(*.f64 y y)
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
x
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))
#s(literal 3 binary64)
(/.f64 (/.f64 x y) y)
(/.f64 x y)
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))) #s(literal 3 binary64))
(-.f64 (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))))
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
y
(*.f64 y y)
#s(literal 3 binary64)
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64))
(-.f64 (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))))
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y)))
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
x
y
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 x y) (*.f64 y y))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
(*.f64 y y)
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64))
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)
x
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))
#s(literal 3 binary64)
(/.f64 (/.f64 x y) y)
(/.f64 x y)

localize85.0ms (2%)

Memory
25.5MiB live, 186.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(/.f64 (/.f64 x y) y)
accuracy1.1662333897660708
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
accuracy1.441981216015936
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
accuracy10.102913335136595
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
accuracy0.0625
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))))
accuracy0.7203242290375612
(/.f64 (/.f64 x y) (*.f64 y y))
accuracy7.4583247187236585
(sqrt.f64 (/.f64 x y))
accuracy10.041242201934756
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))
accuracy0.0390625
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
accuracy0.06640625
(/.f64 (/.f64 x y) y)
accuracy1.6851754366387572
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))))
accuracy6.831537836211322
(sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
accuracy14.380516997988677
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy0.0
(/.f64 x y)
accuracy0.0
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy0.06640625
(/.f64 (/.f64 x y) y)
Samples
29.0ms139×0invalid
23.0ms117×0valid
Compiler

Compiled 416 to 61 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 11.0ms (34% of total)
ival-sub: 6.0ms (18.6% of total)
ival-sqrt: 6.0ms (18.6% of total)
ival-mult: 5.0ms (15.5% of total)
ival-pow: 3.0ms (9.3% of total)
ival-add: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.7%)

Memory
-17.0MiB live, 63.5MiB allocated
Counts
18 → 27
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))))
(sqrt.f64 x)
(/.f64 (/.f64 x y) (*.f64 y y))
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))))
(sqrt.f64 (/.f64 x y))
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))
Outputs
-3
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x y)
(/ x (pow y 4))
(sqrt x)
(/ x (pow y 3))
(sqrt (/ x y))
-9
(- (/ (pow x 2) (pow y 4)) 9)
(/ (pow x 2) (pow y 4))
(* (sqrt x) (/ 1 (pow y 2)))
(sqrt (/ x (pow y 3)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2))))
(* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4))
(- (/ (* x (pow (sqrt -1) 2)) (pow y 2)) 3)
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(* (sqrt (/ x y)) (pow (sqrt -1) 2))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ (/ x y) y) (* y y)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) (sqrt x) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4)) (sqrt (/ (/ (/ x y) y) (* y y))) (sqrt (/ (/ x y) (* y y))))
6.0ms
x
@0
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ (/ x y) y) (* y y)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) (sqrt x) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4)) (sqrt (/ (/ (/ x y) y) (* y y))) (sqrt (/ (/ x y) (* y y))))
6.0ms
x
@inf
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ (/ x y) y) (* y y)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) (sqrt x) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4)) (sqrt (/ (/ (/ x y) y) (* y y))) (sqrt (/ (/ x y) (* y y))))
5.0ms
y
@0
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ (/ x y) y) (* y y)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) (sqrt x) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4)) (sqrt (/ (/ (/ x y) y) (* y y))) (sqrt (/ (/ x y) (* y y))))
4.0ms
y
@-inf
((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ (/ x y) y) (* y y)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) (sqrt x) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4)) (sqrt (/ (/ (/ x y) y) (* y y))) (sqrt (/ (/ x y) (* y y))))

simplify75.0ms (1.7%)

Memory
-10.5MiB live, 105.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062155
1140147
2429147
31475147
44870147
57566147
08128144
Stop Event
iter limit
node limit
Counts
27 → 27
Calls
Call 1
Inputs
-3
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x y)
(/ x (pow y 4))
(sqrt x)
(/ x (pow y 3))
(sqrt (/ x y))
-9
(- (/ (pow x 2) (pow y 4)) 9)
(/ (pow x 2) (pow y 4))
(* (sqrt x) (/ 1 (pow y 2)))
(sqrt (/ x (pow y 3)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2))))
(* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4))
(- (/ (* x (pow (sqrt -1) 2)) (pow y 2)) 3)
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(* (sqrt (/ x y)) (pow (sqrt -1) 2))
Outputs
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x (pow y 4))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(sqrt x)
(sqrt.f64 x)
(/ x (pow y 3))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
(sqrt (/ x y))
(sqrt.f64 (/.f64 x y))
-9
#s(literal -9 binary64)
(- (/ (pow x 2) (pow y 4)) 9)
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(/ (pow x 2) (pow y 4))
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)
(* (sqrt x) (/ 1 (pow y 2)))
(/.f64 (/.f64 (sqrt.f64 x) y) y)
(sqrt (/ x (pow y 3)))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 (/.f64 x y) y)
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 x y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2))))
(/.f64 (/.f64 (sqrt.f64 x) y) y)
(* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(- (/ (* x (pow (sqrt -1) 2)) (pow y 2)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(/.f64 (/.f64 x y) y)
(* (sqrt (/ x y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 x y)))

rewrite105.0ms (2.4%)

Memory
0.8MiB live, 156.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030158
050120
1173104
21049104
09915104
Stop Event
iter limit
node limit
iter limit
Counts
18 → 633
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))))
(sqrt.f64 x)
(/.f64 (/.f64 x y) (*.f64 y y))
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))))
(sqrt.f64 (/.f64 x y))
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64)))) (*.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal -27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))) (fma.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal -27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal -27 binary64) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (*.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) #s(literal 9 binary64)))) (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 27 binary64))) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) #s(literal -9 binary64))) (pow.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal -9 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 9 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal -9 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal -9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 81 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) #s(literal 729 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))))
(/.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (*.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) #s(literal 9 binary64))) (pow.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 81 binary64)) (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) #s(literal 729 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal -9 binary64))))
(neg.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))
(fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64))))
(fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(fma.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64))))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64))))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64))))
(fma.f64 x (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal -9 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))
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(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 x))) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (sqrt.f64 (/.f64 x y)) y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 (/.f64 x y)))) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y))) (fabs.f64 (sqrt.f64 x)))
(*.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 x))) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (sqrt.f64 (/.f64 x y)) y))) (fabs.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 (/.f64 x y)))) (fabs.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y)))
(*.f64 (fabs.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y)) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (/.f64 x y) y))))
(*.f64 (fabs.f64 (sqrt.f64 (/.f64 x y))) (fabs.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (/.f64 (/.f64 x y) y))))
(*.f64 (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (fabs.f64 (*.f64 (sqrt.f64 x) (/.f64 (/.f64 x y) y))))
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 x y) y))))
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (/.f64 x y)))
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x)
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y)) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (sqrt.f64 (/.f64 x y)) y)) (neg.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (sqrt.f64 (/.f64 x y)) y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 x y) y)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (/.f64 (/.f64 x y) y)))
(*.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (neg.f64 x))
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (neg.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (/.f64 x y) y))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (/.f64 x y) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (/.f64 (/.f64 x y) y))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (/.f64 (/.f64 x y) y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 (/.f64 x y) y))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 x y) y)))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 x y) y))))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 x y) y)))
(*.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(*.f64 x (fabs.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) y)
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) x)) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x y))) y)
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) y)
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 x (/.f64 (/.f64 x y) y))) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 x (/.f64 x y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 2 binary64))) (*.f64 y y))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 2 binary64))) (*.f64 y y))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 8 binary64))))
(/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) y)
(/.f64 (*.f64 (/.f64 (/.f64 x y) y) x) (*.f64 y y))
(/.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) y)
(/.f64 (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) y)
(/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 y y))
(/.f64 (*.f64 x (/.f64 (/.f64 x y) y)) (*.f64 y y))
(/.f64 (*.f64 x (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) y)
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3 binary64)))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) y))) y)
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 y y))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) y)
(/.f64 (sqrt.f64 (neg.f64 x)) (*.f64 y y))
(/.f64 (/.f64 (sqrt.f64 x) y) y)
(/.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 x) (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x y)))) y)
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) y)
(/.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 y))
(/.f64 (sqrt.f64 (/.f64 x y)) y)
(/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))
(neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))))

eval67.0ms (1.5%)

Memory
16.9MiB live, 92.7MiB allocated
Compiler

Compiled 12 740 to 1 819 computations (85.7% saved)

prune12.0ms (0.3%)

Memory
-8.7MiB live, 29.8MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New5425547
Fresh000
Picked415
Done011
Total5467553
Accuracy
100.0%
Counts
553 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.0%
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
53.8%
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
45.6%
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) #s(literal 3 binary64))
93.9%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
43.0%
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64))
50.2%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
52.0%
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
Compiler

Compiled 174 to 124 computations (28.7% saved)

simplify103.0ms (2.4%)

Memory
8.9MiB live, 89.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
cost-diff0
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
cost-diff1
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
cost-diff0
(/.f64 (sqrt.f64 x) y)
cost-diff0
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
cost-diff0
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) #s(literal 3 binary64))
cost-diff4
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
cost-diff0
(/.f64 (sqrt.f64 x) (*.f64 y y))
cost-diff0
(sqrt.f64 x)
cost-diff0
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64))
cost-diff4
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y)))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) y)
cost-diff0
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
cost-diff0
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
cost-diff0
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
cost-diff3
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038228
061220
197212
2178212
3883194
44763188
57628188
08478188
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
x
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 x y)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y)))
(sqrt.f64 x)
x
(/.f64 (sqrt.f64 x) (*.f64 y y))
(*.f64 y y)
y
#s(literal 3 binary64)
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
x
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))
#s(literal 3 binary64)
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64))
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
x
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 x y)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))
(+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y)))
(/.f64 (/.f64 x y) y)
(sqrt.f64 x)
x
(/.f64 (sqrt.f64 x) (*.f64 y y))
(/.f64 (/.f64 (sqrt.f64 x) y) y)
(*.f64 y y)
y
#s(literal 3 binary64)
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(/.f64 x y)
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))
x
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(*.f64 y y)

localize97.0ms (2.3%)

Memory
-3.9MiB live, 105.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.1662333897660708
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
accuracy1.441981216015936
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
accuracy3.400306829206606
(/.f64 x (*.f64 y y))
accuracy10.102913335136595
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
accuracy0.0
(sqrt.f64 x)
accuracy0.06640625
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
accuracy0.11328125
(/.f64 (sqrt.f64 x) y)
accuracy0.11328125
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
accuracy0.0
(*.f64 y y)
accuracy0.0
(sqrt.f64 x)
accuracy1.6851754366387572
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y)))
accuracy1.7616259400604415
(/.f64 (sqrt.f64 x) (*.f64 y y))
accuracy0.0
(/.f64 x y)
accuracy0.06640625
(/.f64 (/.f64 x y) y)
accuracy14.348627936828954
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
accuracy0.06640625
(/.f64 (/.f64 x y) y)
accuracy0.27723823283614185
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))
accuracy1.6474718743220154
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
accuracy10.102913335136595
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
Samples
38.0ms117×0valid
31.0ms139×0invalid
Compiler

Compiled 452 to 74 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 21.0ms (40.9% of total)
ival-pow: 11.0ms (21.4% of total)
ival-mult: 8.0ms (15.6% of total)
ival-sub: 5.0ms (9.7% of total)
ival-sqrt: 3.0ms (5.8% of total)
ival-add: 2.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory
34.3MiB live, 34.3MiB allocated
Counts
21 → 24
Calls
Call 1
Inputs
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y)))
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64))
(sqrt.f64 x)
(/.f64 (sqrt.f64 x) (*.f64 y y))
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(/.f64 (sqrt.f64 x) y)
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
(/.f64 x (*.f64 y y))
Outputs
(/ (pow x 2) (pow y 4))
-3
(- (/ x (pow y 2)) 3)
-9
(- (/ (pow x 2) (pow y 4)) 9)
(/ x (pow y 3))
(/ x (pow y 2))
(/ x y)
(sqrt x)
(* (sqrt x) (/ 1 (pow y 2)))
(* (sqrt x) (/ 1 y))
(/ x (pow y 4))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2))))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4))
(pow y 2)
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((* (/ x (pow y 3)) (/ x y)) (/ (- (* (/ x (pow y 3)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ x (pow y 3)) (/ x y)) 9) (/ x (pow y 3)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (* x (/ x (pow y 4))) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ x (pow y 4))) 9) (/ x (pow y 4)) (* y y) (/ x (* y y)))
3.0ms
x
@inf
((* (/ x (pow y 3)) (/ x y)) (/ (- (* (/ x (pow y 3)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ x (pow y 3)) (/ x y)) 9) (/ x (pow y 3)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (* x (/ x (pow y 4))) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ x (pow y 4))) 9) (/ x (pow y 4)) (* y y) (/ x (* y y)))
3.0ms
x
@0
((* (/ x (pow y 3)) (/ x y)) (/ (- (* (/ x (pow y 3)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ x (pow y 3)) (/ x y)) 9) (/ x (pow y 3)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (* x (/ x (pow y 4))) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ x (pow y 4))) 9) (/ x (pow y 4)) (* y y) (/ x (* y y)))
3.0ms
y
@-inf
((* (/ x (pow y 3)) (/ x y)) (/ (- (* (/ x (pow y 3)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ x (pow y 3)) (/ x y)) 9) (/ x (pow y 3)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (* x (/ x (pow y 4))) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ x (pow y 4))) 9) (/ x (pow y 4)) (* y y) (/ x (* y y)))
2.0ms
y
@0
((* (/ x (pow y 3)) (/ x y)) (/ (- (* (/ x (pow y 3)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ x (pow y 3)) (/ x y)) 9) (/ x (pow y 3)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (/ (sqrt x) y) (sqrt x)) (- (/ (* (/ (sqrt x) y) (sqrt x)) y) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (* x (/ x (pow y 4))) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ x (pow y 4))) 9) (/ x (pow y 4)) (* y y) (/ x (* y y)))

simplify71.0ms (1.6%)

Memory
-9.5MiB live, 76.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062132
1141124
2425124
31486124
44700124
57439124
08009121
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(/ (pow x 2) (pow y 4))
-3
(- (/ x (pow y 2)) 3)
-9
(- (/ (pow x 2) (pow y 4)) 9)
(/ x (pow y 3))
(/ x (pow y 2))
(/ x y)
(sqrt x)
(* (sqrt x) (/ 1 (pow y 2)))
(* (sqrt x) (/ 1 y))
(/ x (pow y 4))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2))))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4))
(pow y 2)
Outputs
(/ (pow x 2) (pow y 4))
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
-9
#s(literal -9 binary64)
(- (/ (pow x 2) (pow y 4)) 9)
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(/ x (pow y 3))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x y)
(/.f64 x y)
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) (/ 1 (pow y 2)))
(/.f64 (/.f64 (sqrt.f64 x) y) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(/ x (pow y 4))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 (/.f64 x y) y)
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2))))
(/.f64 (/.f64 (sqrt.f64 x) y) y)
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(pow y 2)
(*.f64 y y)

rewrite128.0ms (3%)

Memory
6.1MiB live, 206.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038178
061185
1224124
21467120
08654120
Stop Event
iter limit
node limit
iter limit
Counts
21 → 842
Calls
Call 1
Inputs
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y)))
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64))
(sqrt.f64 x)
(/.f64 (sqrt.f64 x) (*.f64 y y))
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(/.f64 (sqrt.f64 x) y)
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
(/.f64 x (*.f64 y y))
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (neg.f64 (sqrt.f64 x))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) y) y)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 5/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y))) (sqrt.f64 x))
(*.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 x))) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (/.f64 (sqrt.f64 x) y))
(*.f64 (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (fabs.f64 (*.f64 (sqrt.f64 x) (/.f64 (/.f64 x y) y))))
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (/.f64 x y)))
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x)
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (/.f64 x y))) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 x y))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (sqrt.f64 (*.f64 (/.f64 x y) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)
(*.f64 (/.f64 (sqrt.f64 x) y) (fabs.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 x y) y)))
(*.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 x y) y))))
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(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) y)
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 y y)
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 x))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (sqrt.f64 (*.f64 (sqrt.f64 x) (/.f64 (/.f64 x y) y))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 x y) y))))
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) y) (sqrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (*.f64 y y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 y y))
(/.f64 (fabs.f64 (neg.f64 (neg.f64 x))) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (*.f64 y y))
(/.f64 (fabs.f64 (/.f64 x y)) y)
(/.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 x y) x) y)) y)
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y))) y)
(/.f64 (sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 x y) y) (neg.f64 x))) y)
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 x y) x))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 x x))) (*.f64 y y))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 y y))
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (*.f64 y y))
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x)) (sqrt.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y y))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 y y))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 x y) y))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(fabs.f64 (/.f64 (/.f64 x y) y))
(exp.f64 (fma.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))

eval54.0ms (1.2%)

Memory
-22.4MiB live, 94.5MiB allocated
Compiler

Compiled 13 785 to 1 949 computations (85.9% saved)

prune12.0ms (0.3%)

Memory
-6.6MiB live, 32.7MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New5555560
Fresh000
Picked235
Done022
Total55710567
Accuracy
100.0%
Counts
567 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
58.7%
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
58.7%
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
53.8%
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
93.9%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
43.0%
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64))
50.2%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
52.0%
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
23.2%
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
46.0%
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
Compiler

Compiled 291 to 193 computations (33.7% saved)

simplify93.0ms (2.2%)

Memory
26.7MiB live, 103.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
cost-diff2
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
cost-diff4
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
cost-diff0
(*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
cost-diff0
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
cost-diff4
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
cost-diff0
(/.f64 (sqrt.f64 x) y)
cost-diff0
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
cost-diff0
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
cost-diff4
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
cost-diff0
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
cost-diff0
(-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
cost-diff2
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
cost-diff4
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039342
062334
1104290
2204286
3886260
45824252
08478252
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 x y)
x
y
(pow.f64 y #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(/.f64 x (pow.f64 y #s(literal 3/2 binary64)))
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))
#s(literal 3 binary64)
(/.f64 (/.f64 x y) y)
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64))
(*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
x
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
y
(*.f64 y y)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))
#s(literal 3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
(*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
x
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 x y)
y
(pow.f64 y #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))
#s(literal 3 binary64)
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
(-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
(-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 x (pow.f64 y #s(literal 5/2 binary64)))
(/.f64 x y)
x
y
(pow.f64 y #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(/.f64 x (pow.f64 y #s(literal 3/2 binary64)))
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))
(+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (/.f64 x y) y)
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
x
(*.f64 y y)
y
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(/.f64 x y)
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64))
(-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64))
(*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
x
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
y
(*.f64 y y)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
(-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64))
(*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
x
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 x (pow.f64 y #s(literal 5/2 binary64)))
(/.f64 x y)
y
(pow.f64 y #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(literal 9 binary64)
(+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(*.f64 y y)

localize98.0ms (2.3%)

Memory
-18.4MiB live, 140.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.40467142055663347
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
accuracy1.1662333897660708
(*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
accuracy3.400306829206606
(/.f64 x (*.f64 y y))
accuracy10.102913335136595
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
accuracy0.06640625
(/.f64 (/.f64 x y) y)
accuracy1.1662333897660708
(*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
accuracy3.400306829206606
(/.f64 x (*.f64 y y))
accuracy10.102913335136595
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
accuracy0.06640625
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
accuracy0.11328125
(/.f64 (sqrt.f64 x) y)
accuracy0.11328125
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
accuracy14.348627936828954
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
accuracy0.0
(*.f64 y y)
accuracy3.400306829206606
(/.f64 x (*.f64 y y))
accuracy14.348627936828954
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
accuracy0.06640625
(/.f64 (/.f64 x y) y)
accuracy0.40467142055663347
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
accuracy3.861942954903651
(/.f64 x (pow.f64 y #s(literal 3/2 binary64)))
accuracy10.102913335136595
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
Samples
37.0ms139×0invalid
32.0ms117×0valid
Compiler

Compiled 670 to 74 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 17.0ms (34.2% of total)
ival-sqrt: 11.0ms (22.1% of total)
ival-mult: 8.0ms (16.1% of total)
ival-pow: 7.0ms (14.1% of total)
ival-sub: 4.0ms (8% of total)
ival-add: 2.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.6%)

Memory
10.4MiB live, 48.9MiB allocated
Counts
21 → 28
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(*.f64 y y)
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(/.f64 (sqrt.f64 x) y)
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64))
(*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
(/.f64 x (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 x y) y)
(*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
Outputs
(/ (pow x 2) (pow y 4))
(* x (sqrt (/ 1 (pow y 5))))
-3
(- (/ x (pow y 2)) 3)
-9
(- (/ (pow x 2) (pow y 4)) 9)
(/ x (pow y 2))
(/ x y)
(* (sqrt x) (/ 1 y))
(/ x (pow y 4))
(* x (sqrt (/ 1 (pow y 3))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4))
(pow y 2)
(* -1 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2))))
(* -1 (* x (sqrt (/ 1 (pow y 5)))))
(- (* -1/3 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2)))) (+ 3 (+ (* -1 (/ x (pow y 2))) (* 1/3 (/ (pow x 2) (pow y 4))))))
(- (+ (* -1/3 (/ (* x (- (* -1/3 (/ (pow x 2) (pow (sqrt -1) 2))) (* 1/3 (pow x 2)))) (pow y 6))) (* -1/3 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2))))) (+ 3 (+ (* -1 (/ x (pow y 2))) (* 1/3 (/ (pow x 2) (pow y 4))))))
(- (* -1 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2)))) 9)
(* -1 (/ x (* (pow y 4) (pow (sqrt -1) 2))))
(* -1 (* x (sqrt (/ 1 (pow y 3)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) (/ (/ x y) (pow y 3/2)) (/ (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ (/ x y) y) (* y y)) (/ (- (* x (/ (/ (/ x y) y) (* y y))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) y) (* y y))) 9) (* x (/ (/ (/ x y) y) (* y y))) (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2)) (/ (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (/ x (pow y 3/2)) (/ (/ x y) y) (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))))
5.0ms
x
@-inf
((* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) (/ (/ x y) (pow y 3/2)) (/ (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ (/ x y) y) (* y y)) (/ (- (* x (/ (/ (/ x y) y) (* y y))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) y) (* y y))) 9) (* x (/ (/ (/ x y) y) (* y y))) (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2)) (/ (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (/ x (pow y 3/2)) (/ (/ x y) y) (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))))
5.0ms
y
@0
((* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) (/ (/ x y) (pow y 3/2)) (/ (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ (/ x y) y) (* y y)) (/ (- (* x (/ (/ (/ x y) y) (* y y))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) y) (* y y))) 9) (* x (/ (/ (/ x y) y) (* y y))) (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2)) (/ (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (/ x (pow y 3/2)) (/ (/ x y) y) (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))))
4.0ms
x
@0
((* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) (/ (/ x y) (pow y 3/2)) (/ (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ (/ x y) y) (* y y)) (/ (- (* x (/ (/ (/ x y) y) (* y y))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) y) (* y y))) 9) (* x (/ (/ (/ x y) y) (* y y))) (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2)) (/ (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (/ x (pow y 3/2)) (/ (/ x y) y) (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))))
4.0ms
x
@inf
((* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) (/ (/ x y) (pow y 3/2)) (/ (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (pow y 3/2)) (/ x (pow y 3/2))) 9) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ x (* y y)) (* y y) (* (/ (sqrt x) y) (sqrt x)) (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/ (* (/ (sqrt x) y) (sqrt x)) y) (/ (sqrt x) y) (/ (/ (/ x y) y) (* y y)) (/ (- (* x (/ (/ (/ x y) y) (* y y))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) y) (* y y))) 9) (* x (/ (/ (/ x y) y) (* y y))) (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2)) (/ (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (+ 3 (/ x (* y y)))) (- (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))) 9) (/ x (pow y 3/2)) (/ (/ x y) y) (* x (/ (/ (/ x y) (pow y 3/2)) (pow y 3/2))))

simplify176.0ms (4.1%)

Memory
13.7MiB live, 137.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091225
1214213
2705207
32461176
47594176
08987171
Stop Event
iter limit
node limit
Counts
28 → 28
Calls
Call 1
Inputs
(/ (pow x 2) (pow y 4))
(* x (sqrt (/ 1 (pow y 5))))
-3
(- (/ x (pow y 2)) 3)
-9
(- (/ (pow x 2) (pow y 4)) 9)
(/ x (pow y 2))
(/ x y)
(* (sqrt x) (/ 1 y))
(/ x (pow y 4))
(* x (sqrt (/ 1 (pow y 3))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4))
(pow y 2)
(* -1 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2))))
(* -1 (* x (sqrt (/ 1 (pow y 5)))))
(- (* -1/3 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2)))) (+ 3 (+ (* -1 (/ x (pow y 2))) (* 1/3 (/ (pow x 2) (pow y 4))))))
(- (+ (* -1/3 (/ (* x (- (* -1/3 (/ (pow x 2) (pow (sqrt -1) 2))) (* 1/3 (pow x 2)))) (pow y 6))) (* -1/3 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2))))) (+ 3 (+ (* -1 (/ x (pow y 2))) (* 1/3 (/ (pow x 2) (pow y 4))))))
(- (* -1 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2)))) 9)
(* -1 (/ x (* (pow y 4) (pow (sqrt -1) 2))))
(* -1 (* x (sqrt (/ 1 (pow y 3)))))
Outputs
(/ (pow x 2) (pow y 4))
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)
(* x (sqrt (/ 1 (pow y 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) x)
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
-9
#s(literal -9 binary64)
(- (/ (pow x 2) (pow y 4)) 9)
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ x y)
(/.f64 x y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(/ x (pow y 4))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 (/.f64 x y) y)
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(* -1 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 x y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(pow y 2)
(*.f64 y y)
(* -1 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)
(* -1 (* x (sqrt (/ 1 (pow y 5)))))
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))
(- (* -1/3 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2)))) (+ 3 (+ (* -1 (/ x (pow y 2))) (* 1/3 (/ (pow x 2) (pow y 4))))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))
(- (+ (* -1/3 (/ (* x (- (* -1/3 (/ (pow x 2) (pow (sqrt -1) 2))) (* 1/3 (pow x 2)))) (pow y 6))) (* -1/3 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2))))) (+ 3 (+ (* -1 (/ x (pow y 2))) (* 1/3 (/ (pow x 2) (pow y 4))))))
(fma.f64 #s(literal 0 binary64) x (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(- (* -1 (/ (pow x 2) (* (pow y 4) (pow (sqrt -1) 2)))) 9)
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))
(* -1 (/ x (* (pow y 4) (pow (sqrt -1) 2))))
(/.f64 x (pow.f64 y #s(literal 4 binary64)))
(* -1 (* x (sqrt (/ 1 (pow y 3)))))
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))

rewrite177.0ms (4.1%)

Memory
4.0MiB live, 158.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039258
062252
1218182
21386134
08866134
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 146
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(*.f64 y y)
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y)
(/.f64 (sqrt.f64 x) y)
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64))
(*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64))
(/.f64 x (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 x y) y)
(*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
Outputs
(*.f64 (/.f64 x (*.f64 y (pow.f64 y #s(literal 3/4 binary64)))) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (*.f64 y (pow.f64 y #s(literal 3/4 binary64)))) (/.f64 x (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) y) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 9/4 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 9/4 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (/.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 9/4 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 9/4 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 9/4 binary64))) (/.f64 x (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 x))) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)))
(*.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y))) (sqrt.f64 x))
(*.f64 (fabs.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64)))) (fabs.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/4 binary64)))))
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64)))) (fabs.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64)))))
(*.f64 (fabs.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64)))) (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64)))))
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64)))))
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64)))) (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x)
(*.f64 (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (fabs.f64 (*.f64 (sqrt.f64 x) (/.f64 (/.f64 x y) y))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))))) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 x y) y)))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) y) y))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y)) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 9/4 binary64))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 x (pow.f64 y #s(literal 9/4 binary64))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 9/4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 x (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))) (/.f64 x (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)
(*.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 x y) y))))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 x y) y)))
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) y))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (/.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 x y) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(*.f64 x (fabs.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x)) y)
(/.f64 (neg.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (pow.f64 y #s(literal 5/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) x)) (neg.f64 (pow.f64 y #s(literal 5/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (neg.f64 x))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x y))) y)
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x y) y) (neg.f64 x))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) y)
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) x))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (*.f64 (pow.f64 y #s(literal 5/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 5/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 5/2 binary64)))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (pow.f64 y #s(literal 5/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (fabs.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64)))) (pow.f64 y #s(literal 3/4 binary64)))
(/.f64 (fabs.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) y)
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))) y)
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 x y) y))) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x)) y)
(/.f64 (fabs.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))) (fabs.f64 (pow.f64 y #s(literal 5/2 binary64))))
(/.f64 (fabs.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) x)) (fabs.f64 (pow.f64 y #s(literal 5/2 binary64))))
(/.f64 (fabs.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (neg.f64 x))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x y))) y)
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) (neg.f64 x))) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) y)
(/.f64 (fabs.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (fabs.f64 (neg.f64 (*.f64 (/.f64 x y) x))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (fabs.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))))
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (fabs.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) x)) (fabs.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 5/2 binary64)))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (fabs.f64 (*.f64 x (neg.f64 x))) (fabs.f64 (*.f64 (pow.f64 y #s(literal 5/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))))
(/.f64 (fabs.f64 (*.f64 x (neg.f64 x))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 5/2 binary64)))))
(/.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (*.f64 (pow.f64 y #s(literal 5/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (fabs.f64 (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (fabs.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) x)) (fabs.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) x)) (fabs.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))))
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 x y) x) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))) y)
(/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))) (pow.f64 y #s(literal 3/4 binary64)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 x y) x))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) y)
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))))) (pow.f64 y #s(literal 3/4 binary64)))
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))) (*.f64 (/.f64 x y) x))) (sqrt.f64 (pow.f64 y #s(literal 9/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))))) (sqrt.f64 (pow.f64 y #s(literal 9/2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 y #s(literal 6 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 y y))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))
(/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y)
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(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) y)
(/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (pow.f64 y #s(literal 5/2 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) x) (pow.f64 y #s(literal 5/2 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) y)
(/.f64 (*.f64 (/.f64 (/.f64 x y) y) (neg.f64 x)) (*.f64 y y))
(/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) y)
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 5/2 binary64))))
(/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (pow.f64 y #s(literal 5/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 5/2 binary64))))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 y #s(literal 5/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 x y) x) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (*.f64 (/.f64 x y) x) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))
(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)))

eval96.0ms (2.2%)

Memory
14.8MiB live, 124.0MiB allocated
Compiler

Compiled 20 450 to 2 361 computations (88.5% saved)

prune26.0ms (0.6%)

Memory
-33.4MiB live, 50.0MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New7191720
Fresh000
Picked145
Done055
Total72010730
Accuracy
100.0%
Counts
730 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.9%
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
61.7%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
58.7%
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
53.8%
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
93.9%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
43.0%
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64))
50.2%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
52.0%
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
23.2%
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
46.0%
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
Compiler

Compiled 455 to 196 computations (56.9% saved)

regimes29.0ms (0.7%)

Memory
16.8MiB live, 53.1MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) #s(literal 3 binary64))
(-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)))) #s(literal 3 binary64))
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
(/.f64 (-.f64 (*.f64 x (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
Calls

5 calls:

9.0ms
y
5.0ms
x
5.0ms
(*.f64 y y)
5.0ms
(/.f64 x (*.f64 y y))
4.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
99.9%1(/.f64 x (*.f64 y y))
99.9%1(*.f64 y y)
Compiler

Compiled 17 to 17 computations (0% saved)

regimes13.0ms (0.3%)

Memory
-13.5MiB live, 24.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
Outputs
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Calls

5 calls:

5.0ms
x
2.0ms
y
2.0ms
(*.f64 y y)
2.0ms
(/.f64 x (*.f64 y y))
2.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
93.9%1x
99.9%2y
99.9%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
99.9%3(/.f64 x (*.f64 y y))
99.9%2(*.f64 y y)
Compiler

Compiled 17 to 17 computations (0% saved)

regimes8.0ms (0.2%)

Memory
19.4MiB live, 19.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
93.9%1x
93.9%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
93.9%1(/.f64 x (*.f64 y y))
93.9%1y
93.9%1(*.f64 y y)
Compiler

Compiled 17 to 17 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-31.9MiB live, 16.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
Outputs
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))
Calls

5 calls:

4.0ms
(*.f64 y y)
1.0ms
y
1.0ms
x
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
83.4%2(*.f64 y y)
64.9%3x
83.4%2y
93.1%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
93.1%3(/.f64 x (*.f64 y y))
Compiler

Compiled 17 to 17 computations (0% saved)

regimes6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Outputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
50.2%1x
50.2%1y
50.2%1(*.f64 y y)
50.2%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
50.2%1(/.f64 x (*.f64 y y))
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.579054611301844e-289
4.172761013647247e-283
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch24.0ms (0.6%)

Memory
15.0MiB live, 52.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.903318067596393e-19
103756610247057470.0
9.0ms
-230543.58391540352
-7.159534213610346e-6
Samples
8.0ms336×0valid
Compiler

Compiled 556 to 473 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 2.0ms (89.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify59.0ms (1.4%)

Memory
-9.9MiB live, 66.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030104
146100
283100
3215100
4426100
5483100
6502100
7514100
8543100
9739100
103076100
117064100
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (*.f64 y y) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (*.f64 y y) #s(literal 5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) #s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y)))))
(if (or (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (not (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) #s(approx (- (* (sqrt x) (sqrt (/ (/ (/ x y) y) (* y y)))) 3) (/.f64 x (*.f64 y y))) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

soundness675.0ms (15.6%)

Memory
-11.9MiB live, 316.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038178
061185
1224124
21467120
08654120
0615
0915
13415
221015
3321715
0873615
02137
14437
210337
333637
490137
5314837
6567937
7661837
8716137
0803337
062155
1140147
2429147
31475147
44870147
57566147
08128144
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 165 to 81 computations (50.9% saved)

preprocess62.0ms (1.4%)

Memory
-6.9MiB live, 74.9MiB allocated
Remove

(abs y)

Compiler

Compiled 372 to 172 computations (53.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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