Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

Time bar (total: 6.1s)

analyze9.0ms (0.2%)

Memory
18.1MiB live, 18.1MiB 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 7 to 6 computations (14.3% saved)

sample657.0ms (10.9%)

Memory
-29.2MiB live, 814.3MiB allocated
Samples
440.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 243.0ms
ival-mult: 178.0ms (73.3% of total)
ival-div: 57.0ms (23.5% of total)
ival-true: 6.0ms (2.5% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess53.0ms (0.9%)

Memory
14.9MiB live, 53.8MiB allocated
Algorithm
egg-herbie
Rules
892×times-frac
198×associate-*r*
198×associate-*l*
174×associate-/r*
122×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01227
13927
210527
332727
482527
5135927
6150427
7153027
8154827
9156427
045
065
185
085
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
Outputs
(/.f64 x (*.f64 y y))
Symmetry

(abs y)

(negabs x)

explain75.0ms (1.2%)

Memory
-7.7MiB live, 77.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
410-4(1.9171275178666545e-231 1.0351908324529103e-160)(/.f64 x (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (*.f64 y y))n/o210
(*.f64 y y)overflow63
/.f64(/.f64 x (*.f64 y y))n/u160
(*.f64 y y)underflow62
Confusion
Predicted +Predicted -
+374
-0215
Precision
1.0
Recall
0.9024390243902439
Confusion?
Predicted +Predicted MaybePredicted -
+3704
-00215
Precision?
1.0
Recall?
0.9024390243902439
Freqs
test
numberfreq
0219
137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (51.8% of total)
ival-div: 3.0ms (38.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.4%
(/.f64 x (*.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
Rules
lower-/.f32
lower-/.f64
lift-/.f64
lift-*.f64
lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
1810
0810
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
Outputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y

localize32.0ms (0.5%)

Memory
-11.9MiB live, 27.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy85.4%
(/.f64 x (*.f64 y y))
Samples
27.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (54.3% of total)
ival-mult: 2.0ms (54.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
Calls

9 calls:

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

rewrite100.0ms (1.7%)

Memory
14.8MiB live, 95.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
940×lower-*.f32
938×lower-*.f64
784×lower-/.f32
782×lower-/.f64
194×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1188
2778
33608
021328
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
2 → 147
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 x (*.f64 y y)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (*.f64 y y) x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y))))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 x (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (*.f64 y (neg.f64 y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 y)) x)) (*.f64 y (neg.f64 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (*.f64 y (neg.f64 y)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (neg.f64 y)) x)) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x y))) (*.f64 (*.f64 y (neg.f64 y)) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (neg.f64 y)))) (*.f64 (*.f64 y (neg.f64 y)) y))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y (neg.f64 y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y (neg.f64 y))) (/.f64 x (*.f64 y (neg.f64 y))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y (neg.f64 y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y (neg.f64 y))) (/.f64 x (*.f64 y (neg.f64 y))))) (/.f64 x (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 y (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x)
(/.f64 (/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (neg.f64 y))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x (neg.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y)))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 0 binary64))
(neg.f64 (*.f64 y (neg.f64 y)))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))

simplify23.0ms (0.4%)

Memory
-29.7MiB live, 9.1MiB allocated
Algorithm
egg-herbie
Rules
lower-/.f32
lower-/.f64
lower-*.f64
lower-pow.f64
unpow2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05156
16156
28156
08156
Stop Event
iter limit
saturated
Counts
36 → 36
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval17.0ms (0.3%)

Memory
35.9MiB live, 35.9MiB allocated
Compiler

Compiled 1 835 to 346 computations (81.1% saved)

prune59.0ms (1%)

Memory
-7.1MiB live, 68.3MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1758183
Fresh000
Picked011
Done000
Total1759184
Accuracy
100.0%
Counts
184 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
37.7%
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)))
85.4%
(/.f64 x (*.f64 y y))
85.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
99.4%
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
84.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 175 to 106 computations (39.4% saved)

simplify274.0ms (4.5%)

Memory
-29.0MiB live, 179.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(/.f64 x y)
cost-diff384
(/.f64 (/.f64 x y) (sqrt.f64 y))
cost-diff2304
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(neg.f64 (*.f64 x (*.f64 x x)))
cost-diff1536
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 (*.f64 y y) x)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
cost-diff0
(/.f64 x y)
cost-diff384
(/.f64 (/.f64 x y) y)
Rules
2 988×lower-*.f32
2 974×lower-*.f64
1 814×lower-/.f32
1 798×lower-/.f64
1 780×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021120
03996
17996
224496
3149696
4325196
5606196
6751896
0807096
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)))
(neg.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x y)
x
y
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
Outputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)))
(/.f64 x (*.f64 y y))
(neg.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))
(*.f64 y (*.f64 y (*.f64 x (neg.f64 x))))
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
y
(neg.f64 y)
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x (*.f64 y (sqrt.f64 y)))
(/.f64 x y)
x
y
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)

localize88.0ms (1.4%)

Memory
23.5MiB live, 61.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 y)
accuracy99.7%
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
accuracy99.7%
(/.f64 (/.f64 x y) (sqrt.f64 y))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy78.5%
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))
accuracy56.4%
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)))
accuracy100.0%
(*.f64 y y)
accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy85.3%
(/.f64 (*.f64 y y) x)
accuracy100.0%
(*.f64 y y)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy85.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 (/.f64 x y) y)
Samples
40.0ms256×0valid
Compiler

Compiled 122 to 23 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 12.0ms (45.6% of total)
ival-mult: 10.0ms (38% of total)
ival-sqrt: 2.0ms (7.6% of total)
ival-neg: 2.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series73.0ms (1.2%)

Memory
-21.3MiB live, 16.5MiB allocated
Counts
17 → 312
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) (patch (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 x (*.f64 x x))) (patch (neg.f64 (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
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#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
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#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (patch (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (patch (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #<representation binary64>) () ())) ())
Calls

78 calls:

TimeVariablePointExpression
52.0ms
y
@0
(* (* y (neg y)) (* x x))
3.0ms
x
@0
(/ (/ x y) (sqrt y))
1.0ms
y
@-inf
(* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y)))
1.0ms
y
@inf
(/ x y)
1.0ms
y
@-inf
(/ (/ x y) (sqrt y))

rewrite316.0ms (5.2%)

Memory
15.5MiB live, 288.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 260×lower-*.f32
2 248×lower-*.f64
1 444×lower-/.f32
1 428×lower-/.f64
1 062×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02197
03973
112969
278167
3543465
0851065
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 588
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (*.f64 y y) x)
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)))
(neg.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(sqrt.f64 y)
(*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))) #s(literal 0 binary64)) (/.f64 x (*.f64 y y)))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 y (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (/.f64 y y))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x x) (/.f64 y (*.f64 x (neg.f64 x))))
(*.f64 (*.f64 x x) (/.f64 y (*.f64 x x)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/8 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))))

simplify321.0ms (5.3%)

Memory
-5.4MiB live, 315.3MiB allocated
Algorithm
egg-herbie
Rules
8 056×lower-fma.f64
8 056×lower-fma.f32
2 514×lower-*.f64
2 514×lower-*.f32
1 478×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0311488
1611488
21681488
34441488
411891488
530001488
647741488
759801488
862191488
962851488
1063161488
1167821488
081321488
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(* -1 (pow x 3))
(neg.f64 (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))

eval235.0ms (3.9%)

Memory
58.6MiB live, 591.3MiB allocated
Compiler

Compiled 32 125 to 2 773 computations (91.4% saved)

prune897.0ms (14.8%)

Memory
-13.2MiB live, 418.8MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2 14642 150
Fresh123
Picked325
Done011
Total2 15092 159
Accuracy
100.0%
Counts
2 159 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
85.4%
(/.f64 x (*.f64 y y))
92.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
85.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
75.8%
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x)
99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
84.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 143 to 90 computations (37.1% saved)

simplify503.0ms (8.3%)

Memory
-8.6MiB live, 375.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) y)
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff320
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x y)
cost-diff704
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x (*.f64 y y))
cost-diff320
(/.f64 x (*.f64 x (*.f64 y y)))
cost-diff320
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x)
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
Rules
7 628×lower-*.f32
7 618×lower-*.f64
3 340×lower-pow.f64
3 340×lower-pow.f32
3 334×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01694
02994
15280
27980
311680
429880
5107580
6208480
7241180
8268980
9305380
10357380
11425680
12462580
13481980
14491580
15501580
16511980
17599380
18650980
19667080
20676980
21686780
22696580
23706380
24716880
25732980
26743480
27753980
0842980
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 y x)
x
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x)
(/.f64 x (*.f64 x (*.f64 y y)))
x
(*.f64 x (*.f64 y y))
(*.f64 y y)
y
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 y x)
x
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
x
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 y x))
(*.f64 y y)
y
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 (*.f64 y y) x)
(/.f64 y x)
y
x

localize61.0ms (1%)

Memory
-10.8MiB live, 147.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y x)
accuracy99.8%
(*.f64 (/.f64 y x) y)
accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
accuracy85.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
accuracy100.0%
(*.f64 y y)
accuracy90.8%
(/.f64 x (*.f64 x (*.f64 y y)))
accuracy90.4%
(*.f64 x (*.f64 y y))
accuracy85.3%
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x)
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
Samples
34.0ms256×0valid
Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 13.0ms (60.7% of total)
ival-mult: 8.0ms (37.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-21.9MiB live, 19.7MiB allocated
Counts
13 → 276
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 y y)) (patch (*.f64 x (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())
Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) (patch (*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 x (*.f64 y y))) (patch (/.f64 x (*.f64 x (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 y y)) (patch (*.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 y y)) (patch (*.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 y y)) (patch (*.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 y y)) (patch (*.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
Calls

69 calls:

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

rewrite234.0ms (3.9%)

Memory
20.1MiB live, 298.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 894×lower-*.f32
1 884×lower-*.f64
1 816×lower-fma.f64
1 816×lower-fma.f32
1 602×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01671
02961
19053
243553
3210653
4782653
0847153
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 456
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) y)
(/.f64 y x)
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x)
(/.f64 x (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y y))
(*.f64 y y)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 y x) y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (/.f64 x (*.f64 y y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 x (*.f64 y y)))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 y (*.f64 y x))) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y (*.f64 y x))))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (*.f64 y y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(fma.f64 (/.f64 x y) #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 x (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (/.f64 (*.f64 x x) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 (*.f64 y y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y x)))
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 y (*.f64 y x)))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x)
(/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 x))
(/.f64 (*.f64 x (/.f64 x y)) (*.f64 y x))
(/.f64 (/.f64 (*.f64 x x) y) (*.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (*.f64 y x))) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (/.f64 y x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x (*.f64 y y)))) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) y) (*.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (*.f64 x x))) (*.f64 (/.f64 y x) (*.f64 y (*.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (*.f64 x (neg.f64 x)))) (*.f64 (/.f64 y x) (*.f64 y (*.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x y))) (/.f64 (*.f64 y y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 (*.f64 x x) (*.f64 y y)))) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (/.f64 y x) (/.f64 (*.f64 x x) (*.f64 y y)))) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (/.f64 y x) (*.f64 x (/.f64 x y)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (/.f64 y x) (/.f64 (*.f64 x x) y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 x (*.f64 y y)))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 x (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 (/.f64 (/.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 x (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))
(*.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
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(fma.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 0 binary64))
(neg.f64 (/.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 y x) (sqrt.f64 y))))
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(/.f64 y (/.f64 x y))
(/.f64 x (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))
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(/.f64 (*.f64 y y) (neg.f64 x))
(/.f64 (*.f64 y y) (exp.f64 (log.f64 (neg.f64 x))))
(/.f64 (*.f64 y (*.f64 y x)) (*.f64 x x))
(/.f64 (*.f64 y (*.f64 y x)) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
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(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x))))
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(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))))
(/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y x))))
(/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 x y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))) (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 y x))) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (/.f64 x y) (*.f64 y y))) (*.f64 (/.f64 x y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) (*.f64 (/.f64 x y) (*.f64 y (*.f64 y x)))) (*.f64 (/.f64 x y) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 y y) x))) (/.f64 x y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 x y) (*.f64 y (*.f64 y x)))) (*.f64 (/.f64 x y) (*.f64 x x)))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (/.f64 x y) (/.f64 (*.f64 y y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))) (/.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(*.f64 y (/.f64 y x))
(*.f64 x (/.f64 (*.f64 y y) (*.f64 x x)))
(*.f64 (/.f64 y x) y)
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 y (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 y (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (*.f64 y (*.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))
(*.f64 (*.f64 y x) (/.f64 (/.f64 y x) x))
(*.f64 (*.f64 y x) (/.f64 y (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y y))
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(*.f64 (sqrt.f64 y) (*.f64 (/.f64 y x) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) (*.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 y x) x) (*.f64 y x))
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (*.f64 y (sqrt.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)) (*.f64 y (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (*.f64 y x)))
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(*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) x)
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 y x) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 (/.f64 y x) x))
(*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 y (*.f64 y x)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 y (*.f64 y x)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x y)) #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (/.f64 y x) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 y) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))

simplify27.0ms (0.5%)

Memory
0.8MiB live, 44.0MiB allocated
Algorithm
egg-herbie
Rules
18×lower-*.f64
18×lower-*.f32
16×lower-/.f32
16×lower-/.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121236
1161236
2231236
3251236
0251236
Stop Event
iter limit
saturated
Counts
276 → 276
Calls
Call 1
Inputs
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(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)

eval238.0ms (3.9%)

Memory
9.5MiB live, 420.1MiB allocated
Compiler

Compiled 26 293 to 3 005 computations (88.6% saved)

prune222.0ms (3.7%)

Memory
-3.4MiB live, 443.3MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New2 10522 107
Fresh011
Picked145
Done033
Total2 106102 116
Accuracy
100.0%
Counts
2 116 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
85.4%
(/.f64 x (*.f64 y y))
92.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
85.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
75.8%
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x)
99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
84.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 94 to 61 computations (35.1% saved)

simplify204.0ms (3.4%)

Memory
17.8MiB live, 209.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))
cost-diff5824
(pow.f64 x #s(literal 1/2 binary64))
cost-diff6784
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 y)
cost-diff0
(/.f64 (sqrt.f64 y) x)
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))))
cost-diff1600
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff320
(/.f64 x (*.f64 (*.f64 y x) y))
cost-diff320
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x)
Rules
4 476×lower-*.f32
4 464×lower-*.f64
2 308×cube-prod
2 080×lower-/.f32
2 072×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01886
03182
15480
211662
321762
470762
5301162
6423862
7441662
8454262
9469562
10489562
11516362
12556362
13600062
14650762
15709462
16774862
0805562
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x)
(/.f64 x (*.f64 (*.f64 y x) y))
x
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))))
#s(literal 1 binary64)
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
x
(*.f64 y (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 (*.f64 y x) y))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
x
(*.f64 (*.f64 y x) y)
(*.f64 x (*.f64 y y))
(*.f64 y x)
(*.f64 x y)
y
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))))
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))
(/.f64 (*.f64 y y) x)
(/.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
x
(*.f64 y (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 x) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize71.0ms (1.2%)

Memory
5.5MiB live, 101.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.6%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))
accuracy99.7%
(*.f64 y (sqrt.f64 y))
accuracy99.6%
(/.f64 (sqrt.f64 y) x)
accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))))
accuracy93.3%
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))
accuracy100.0%
(*.f64 y x)
accuracy99.8%
(*.f64 (*.f64 y x) y)
accuracy90.8%
(/.f64 x (*.f64 (*.f64 y x) y))
accuracy85.3%
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x)
Samples
50.0ms256×0valid
Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 26.0ms (66.3% of total)
ival-div: 6.0ms (15.3% of total)
ival-sqrt: 3.0ms (7.6% of total)
ival-pow2: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-3.3MiB live, 34.9MiB allocated
Counts
13 → 264
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))) (patch (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 y) x) (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 1/2 binary64)) (patch (pow.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (*.f64 (*.f64 y x) y)) (patch (/.f64 x (*.f64 (*.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) y) (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (sqrt (pow y 3)) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 y)) (patch (*.f64 y (sqrt.f64 y)) #<representation binary64>) () ())) ())
Calls

66 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (sqrt y) x)
1.0ms
x
@inf
(* (/ (sqrt y) x) (* y (sqrt y)))
1.0ms
y
@-inf
(* (/ (sqrt y) x) (* y (sqrt y)))
1.0ms
x
@-inf
(pow (* (/ 1 y) (pow x 1/2)) 2)
1.0ms
x
@-inf
(* (/ 1 y) (pow x 1/2))

rewrite294.0ms (4.9%)

Memory
-14.6MiB live, 333.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 638×lower-*.f32
2 626×lower-*.f64
2 512×lower-/.f32
2 504×lower-/.f64
2 478×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01876
03172
19868
244549
3288449
0828749
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 166
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x)
(/.f64 x (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))))
(/.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) y)
(*.f64 y (sqrt.f64 y))
Outputs
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (/.f64 (sqrt.f64 x) y))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 y) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal -1 binary64) (log.f64 (*.f64 x x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (log.f64 (*.f64 x (*.f64 y y))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 x (sqrt.f64 y))) (*.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 x (sqrt.f64 y)))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (*.f64 y (sqrt.f64 y)) x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 y (sqrt.f64 y)) x)) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 (sqrt.f64 y) x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (sqrt.f64 y)) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x (neg.f64 (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y y))) (/.f64 x (neg.f64 (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (sqrt.f64 y)))) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))) (/.f64 y x)) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (*.f64 y (sqrt.f64 y))) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (neg.f64 (neg.f64 (*.f64 y (sqrt.f64 y))))) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 y (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (*.f64 (neg.f64 y) (/.f64 y (sqrt.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 y))) (/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 y))))
(neg.f64 (neg.f64 (/.f64 x (*.f64 y y))))
(neg.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 y y)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (/.f64 x (*.f64 y (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (/.f64 (*.f64 x x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (sqrt.f64 x) (*.f64 y (/.f64 y (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x)))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 y) (/.f64 x (*.f64 y (sqrt.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x y) (/.f64 (*.f64 x x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 x x) (*.f64 x (*.f64 y y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 y (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (neg.f64 (*.f64 y (sqrt.f64 y)))))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (neg.f64 (*.f64 y (sqrt.f64 y))))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (neg.f64 (neg.f64 (neg.f64 (*.f64 y (sqrt.f64 y))))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (/.f64 (sqrt.f64 y) x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (sqrt.f64 y)) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 y) (/.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 y (/.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y)))
(/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x x) y) (*.f64 x y))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 y)) x)))
(/.f64 (*.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 y))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y)))) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (neg.f64 (/.f64 x (*.f64 y (sqrt.f64 y)))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (*.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y)))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (neg.f64 x)) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) x)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y)))) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 y))) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 y)) x)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x)
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) y) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x y)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 y y)))
(/.f64 (/.f64 (/.f64 (*.f64 x x) y) y) x)
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (*.f64 y (sqrt.f64 y)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 y y))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 y)) x))) (sqrt.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 y)))) (/.f64 (sqrt.f64 y) x))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 x) y)) (neg.f64 (/.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) y)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))) (/.f64 (sqrt.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 x (*.f64 y (sqrt.f64 y))))) (sqrt.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x x) y))) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))) (sqrt.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))) y)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64))) (/.f64 (sqrt.f64 y) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (neg.f64 x))) (sqrt.f64 y))
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 x y))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))) y)
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))) (/.f64 (sqrt.f64 y) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x)) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 y) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 x (neg.f64 x)) y)) (neg.f64 (*.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x y))) y)
(/.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 y y))))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) y) y)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 x (*.f64 y y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 x (*.f64 y y))) (neg.f64 (/.f64 x (*.f64 y y))) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (*.f64 y y)))))))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) (/.f64 x (*.f64 y (sqrt.f64 y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x y) (/.f64 (*.f64 x x) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y)))
(*.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) y))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y y))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (*.f64 x x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (*.f64 y y))))
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(pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 y (sqrt.f64 y))
(*.f64 (sqrt.f64 y) y)
(*.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))

simplify384.0ms (6.3%)

Memory
-23.1MiB live, 280.3MiB allocated
Algorithm
egg-herbie
Rules
3 010×lower-*.f64
3 010×lower-*.f32
2 790×lower-fma.f64
2 790×lower-fma.f32
1 130×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0421212
11011116
23211116
311171116
435491116
554081116
662151116
764561116
865341116
965821116
1069041116
1178401116
080551116
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(/.f64 (*.f64 y y) x)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(/.f64 (*.f64 y y) x)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(/.f64 (*.f64 y y) x)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/.f64 (sqrt.f64 y) x)
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/.f64 (sqrt.f64 y) x)
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/.f64 (sqrt.f64 y) x)
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(sqrt (pow y 3))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y (*.f64 y y)))

eval183.0ms (3%)

Memory
17.5MiB live, 323.9MiB allocated
Compiler

Compiled 17 027 to 2 227 computations (86.9% saved)

prune153.0ms (2.5%)

Memory
4.8MiB live, 292.4MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New1 48221 484
Fresh000
Picked213
Done077
Total1 484101 494
Accuracy
100.0%
Counts
1 494 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
91.2%
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
85.4%
(/.f64 x (*.f64 y y))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
85.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
99.5%
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
75.8%
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x)
99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
84.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 237 to 108 computations (54.4% saved)

regimes21.0ms (0.4%)

Memory
11.1MiB live, 48.6MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 x (*.f64 x (*.f64 y y))) x)
(*.f64 (/.f64 x (*.f64 (*.f64 y x) y)) x)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 y (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 x y) y)
Calls

4 calls:

6.0ms
(/.f64 x (*.f64 y y))
5.0ms
x
5.0ms
y
5.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(/.f64 x (*.f64 y y))
99.8%1(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0.1%)

Memory
-17.6MiB live, 19.0MiB allocated
Accuracy

Total -0.5b remaining (-5%)

Threshold costs -0.5b (-5%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Outputs
(/.f64 x (*.f64 y y))
Calls

4 calls:

2.0ms
x
1.0ms
y
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
85.4%1x
85.4%1y
85.4%1(/.f64 x (*.f64 y y))
85.4%1(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify5.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
Outputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))

soundness71.0ms (1.2%)

Memory
-15.0MiB live, 63.0MiB allocated
Rules
940×lower-*.f32
938×lower-*.f64
784×lower-/.f32
782×lower-/.f64
194×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1188
2778
33608
021328
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess104.0ms (1.7%)

Memory
10.4MiB live, 84.5MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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