Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

Time bar (total: 3.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.3%)

Memory
14.6MiB live, 14.6MiB 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)

sample597.0ms (19.8%)

Memory
8.4MiB live, 796.4MiB allocated
Samples
397.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-div: 90.0ms (47.6% of total)
ival-mult: 90.0ms (47.6% of total)
ival-true: 6.0ms (3.2% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain63.0ms (2.1%)

Memory
-33.4MiB live, 72.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-2(1.0753378445210767e-60 -2.5044368073054933e-161)(/.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/o170
(*.f64 y y)overflow67
/.f64(/.f64 x (*.f64 y y))n/u160
(*.f64 y y)underflow67
Confusion
Predicted +Predicted -
+332
-0221
Precision
1.0
Recall
0.9428571428571428
Confusion?
Predicted +Predicted MaybePredicted -
+3302
-00221
Precision?
1.0
Recall?
0.9428571428571428
Freqs
test
numberfreq
0223
133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
19.0ms512×0valid
Compiler

Compiled 31 to 16 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50.4% of total)
ival-div: 3.0ms (37.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess42.0ms (1.4%)

Memory
-1.5MiB live, 36.3MiB allocated
Algorithm
egg-herbie
Rules
446×times-frac
99×associate-*r*
99×associate-*l*
87×associate-/r*
61×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)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.6%
(/.f64 x (*.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB 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

localize14.0ms (0.5%)

Memory
22.3MiB live, 22.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy7.923428365466156
(/.f64 x (*.f64 y y))
Samples
9.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.8% of total)
ival-mult: 2.0ms (52.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.7%)

Memory
-26.3MiB live, 9.7MiB 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
17.0ms
x
@0
(/ x (* y y))
1.0ms
y
@0
(/ x (* y y))
1.0ms
x
@inf
(/ x (* y y))
0.0ms
x
@-inf
(/ x (* y y))
0.0ms
y
@inf
(* y y)

simplify3.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB 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)

rewrite82.0ms (2.7%)

Memory
5.8MiB live, 123.8MiB allocated
Rules
470×lower-*.f32
469×lower-*.f64
397×frac-2neg
392×lower-/.f32
391×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
0610
11810
27710
336010
4213210
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 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
(*.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 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 y) y)))
(*.f64 (/.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 y x) y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (/.f64 x (*.f64 (neg.f64 y) y)))) (/.f64 x (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (/.f64 x (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y))))))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.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 (*.f64 x x) x))) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x 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 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) (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 x)) #s(literal 1 binary64)) (*.f64 x (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 (neg.f64 y) y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x y))) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) x)) (*.f64 (*.f64 (*.f64 y y) y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 y) y) x)) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (*.f64 (neg.f64 y) y) x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(/.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 x (*.f64 y y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 y y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 y y) y) y))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 y y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) y))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.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 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #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 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #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 (neg.f64 y) (*.f64 (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 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))

eval18.0ms (0.6%)

Memory
5.9MiB live, 42.6MiB allocated
Compiler

Compiled 1 871 to 346 computations (81.5% saved)

prune31.0ms (1%)

Memory
-1.8MiB live, 79.6MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1794183
Fresh000
Picked011
Done000
Total1795184
Accuracy
100.0%
Counts
184 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
87.6%
(/.f64 x (*.f64 y y))
99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
87.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify5.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff384
(/.f64 (/.f64 x y) y)
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))
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 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Rules
20×lower-*.f32
17×lower-*.f64
15×lower-/.f32
lower-/.f64
lift-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
02364
13456
24256
37156
47456
57656
07656
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.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 x) y))
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
(/.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 y) y)
(/.f64 x y)
x
y
Outputs
(*.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 x) y))
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
(/.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 y) y)
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y

localize44.0ms (1.5%)

Memory
-9.4MiB live, 103.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0.125
(/.f64 (/.f64 x y) y)
accuracy0
(/.f64 y x)
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.15072250976844204
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
accuracy0
(/.f64 y x)
accuracy0.14453125
(*.f64 (/.f64 y x) y)
accuracy0.211187111758316
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy0
(*.f64 y y)
accuracy0.325014597070364
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy8.107350608808897
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Samples
30.0ms256×0valid
Compiler

Compiled 64 to 15 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 11.0ms (56% of total)
ival-mult: 8.0ms (40.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.5%)

Memory
-11.9MiB live, 27.0MiB allocated
Counts
10 → 204
Calls
Call 1
Inputs
#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 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>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#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 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#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 (/ x (pow y 2)) (taylor 0 y) (#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 (/ x (pow y 2)) (taylor 0 y) (#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 (/ x (pow y 2)) (taylor 0 y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor -inf y) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor 0 x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor inf x) (#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 (/ x (pow y 2)) (taylor -inf x) (#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 (/ x (pow y 2)) (taylor -inf x) (#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 (/ x (pow y 2)) (taylor -inf x) (#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>) () ())) ())
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#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 (/ 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>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

51 calls:

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

simplify6.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated
Algorithm
egg-herbie
Rules
lower-/.f32
lower-/.f64
lower-*.f64
lower-*.f32
associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011876
114876
217876
318876
018876
Stop Event
iter limit
saturated
Counts
204 → 204
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))
(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)
(/ 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)
(/ 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 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))
(/ 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)
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))
(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 x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) 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 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)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.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)

rewrite158.0ms (5.2%)

Memory
-4.5MiB live, 273.9MiB allocated
Rules
1 409×lower-fma.f64
1 409×lower-fma.f32
976×lower-*.f32
973×lower-*.f64
750×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01348
02342
17340
232940
3136340
4648840
0802140
Stop Event
iter limit
node limit
iter limit
Counts
10 → 1 180
Calls
Call 1
Inputs
(*.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 x) y))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 x y) y)
(/.f64 x y)
Outputs
(*.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y))) (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal 1 binary64) (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) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 x y) (*.f64 (*.f64 y y) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) y)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (/.f64 y x) y) x)) (/.f64 y x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 (*.f64 (/.f64 y x) y) x))
(*.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y y))
(*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y)))
(*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y))) (*.f64 (/.f64 y x) y))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 y) 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 (sqrt.f64 y) 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 (sqrt.f64 y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x))
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) y))
(*.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) (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))
(*.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)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 y x) y)))
(pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) y) x) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (/.f64 x y))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 x (*.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 y y) (/.f64 x (*.f64 y y)))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 x y))) (*.f64 (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (*.f64 y y)))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (neg.f64 x))) (*.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x y))) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 (/.f64 y x) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x (*.f64 y y)))) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) x)) (*.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 x))) (*.f64 (*.f64 y y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 y x) y))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y y) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y (/.f64 x y)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 y (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 y x) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) y)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) y)))
(/.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 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (/.f64 y x) y)))
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x)))
(/.f64 y (*.f64 y (*.f64 (/.f64 y x) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(neg.f64 (/.f64 x (*.f64 y y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y y)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 x (*.f64 y y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 y y) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) y)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y y))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) (*.f64 y (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (*.f64 y (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (*.f64 y (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 x))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 y (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) y)
(/.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 x y)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y)))
(/.f64 y (*.f64 (/.f64 y x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(neg.f64 (/.f64 x y))
(fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (*.f64 (*.f64 y y) y)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 y y) y)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 y x) y) x)) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) x)) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (*.f64 y y)) y #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (/.f64 x y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x y))

eval210.0ms (7%)

Memory
28.0MiB live, 374.1MiB allocated
Compiler

Compiled 20 482 to 2 386 computations (88.4% saved)

prune214.0ms (7.1%)

Memory
-13.2MiB live, 362.5MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1 56321 565
Fresh000
Picked044
Done011
Total1 56371 570
Accuracy
100.0%
Counts
1 570 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
87.6%
(/.f64 x (*.f64 y y))
99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
87.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 66 to 41 computations (37.9% saved)

simplify66.0ms (2.2%)

Memory
-13.4MiB live, 24.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
cost-diff12864
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
Rules
433×times-frac
280×lower-fma.f64
280×lower-fma.f32
280×lower-*.f32
277×lower-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01358
02163
14250
29748
317740
440238
599738
6243538
7282038
8296438
9298438
10298538
11298538
12298538
0298538
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
#s(literal 1 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
y
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
x
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 (*.f64 y y) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
y
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 x y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
x

localize67.0ms (2.2%)

Memory
8.6MiB live, 47.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(neg.f64 x)
accuracy0.125
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
accuracy0.193691259768442
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
accuracy0
(pow.f64 x #s(literal -1/2 binary64))
accuracy0.20703125
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
accuracy0.211187111758316
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
accuracy0.232753759768442
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
Samples
52.0ms256×0valid
Compiler

Compiled 60 to 15 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow: 6.0ms (34.5% of total)
ival-div: 5.0ms (28.8% of total)
ival-mult: 5.0ms (28.8% of total)
ival-neg: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.7%)

Memory
-14.3MiB live, 25.7MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (patch (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #<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) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) (patch (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) (patch (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* (* (pow x -1/2) y) (* (pow x -1/2) y))
1.0ms
y
@0
(* (pow x -1/2) y)
0.0ms
x
@-inf
(/ 1 (* (* (pow x -1/2) y) (* (pow x -1/2) y)))
0.0ms
x
@-inf
(* (pow x -1/2) y)
0.0ms
x
@0
(* (pow x -1/2) y)

simplify243.0ms (8.1%)

Memory
20.0MiB live, 92.6MiB allocated
Algorithm
egg-herbie
Rules
891×div-sub
656×lower-*.f64
656×lower-fma.f64
656×lower-fma.f32
656×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024724
146700
2128692
3439692
41902692
53080692
63635692
73887692
83940692
93952692
104039692
114111692
124999692
135662692
145855692
156241692
166287692
176364692
186465692
196546692
207279692
217279692
227279692
237279692
247279692
07279692
Stop Event
iter limit
saturated
Counts
156 → 156
Calls
Call 1
Inputs
(/ (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))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 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 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(/ (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))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 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 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)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite94.0ms (3.1%)

Memory
-9.3MiB live, 117.1MiB allocated
Rules
722×unpow-prod-down
497×lower-*.f32
494×lower-*.f64
430×frac-times
387×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351
02156
17056
234356
3215656
02144
17039
234331
0215631
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
8 → 397
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(pow.f64 x #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) y)
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (neg.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 y (*.f64 y (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 y (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 y (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))) (exp.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (*.f64 y (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal -1/8 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y)))
(*.f64 (/.f64 (neg.f64 y) x) (neg.f64 y))
(*.f64 (/.f64 y x) y)
(*.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (neg.f64 y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 y y)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(*.f64 (*.f64 (/.f64 y x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
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(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 x y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 x y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 x y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 x y))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal -2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 y) y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)))
(*.f64 x (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(pow.f64 (*.f64 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(pow.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) y)
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (*.f64 y (pow.f64 x #s(literal -3/4 binary64))) y))
(/.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (neg.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 x (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 x (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (neg.f64 y) y)))
(exp.f64 (neg.f64 (log.f64 (*.f64 (/.f64 y x) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(neg.f64 (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x x) x))))
(neg.f64 x)
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval67.0ms (2.2%)

Memory
3.5MiB live, 125.9MiB allocated
Compiler

Compiled 7 159 to 899 computations (87.4% saved)

prune72.0ms (2.4%)

Memory
8.5MiB live, 124.8MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6202622
Fresh000
Picked202
Done055
Total6227629
Accuracy
100.0%
Counts
629 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
87.6%
(/.f64 x (*.f64 y y))
99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)))
87.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 67 to 43 computations (35.8% saved)

simplify30.0ms (1%)

Memory
-31.5MiB live, 14.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
cost-diff0
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)))
Rules
96×lower-*.f32
92×lower-*.f64
61×associate-*r*
47×lower-/.f32
43×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01689
02689
14285
28285
313185
415585
518785
628285
730485
030485
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)))
#s(literal 1 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
y
(*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
#s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(literal 1 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))
(*.f64 (*.f64 (*.f64 y y) (pow.f64 x #s(literal -1/2 binary64))) #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
y
(*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
#s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x

localize68.0ms (2.2%)

Memory
33.7MiB live, 73.0MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.125
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
accuracy0.193691259768442
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy0.20703125
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
accuracy0.20703125
(*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
accuracy0.211187111758316
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)))
accuracy0.232753759768442
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))
Samples
29.0ms256×0valid
Compiler

Compiled 71 to 15 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 6.0ms (31.4% of total)
ival-pow: 6.0ms (31.4% of total)
ival-mult: 4.0ms (20.9% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.5%)

Memory
-33.4MiB live, 5.8MiB allocated
Counts
8 → 168
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (patch (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #<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 (/.f64 #s(literal 1 binary64) y) x) y) (patch (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())
Outputs
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) (patch (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) 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 (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) (patch (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ())
Calls

42 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(/ (* (/ 1 y) x) y)
0.0ms
x
@0
(/ 1 (* (* (pow x -1/2) y) (* (pow x -1/2) y)))
0.0ms
x
@inf
(/ (* (/ 1 y) x) y)
0.0ms
x
@-inf
(/ (* (/ 1 y) x) y)
0.0ms
y
@-inf
(/ (* (/ 1 y) x) y)

simplify201.0ms (6.6%)

Memory
38.0MiB live, 75.9MiB allocated
Algorithm
egg-herbie
Rules
2 003×div-sub
934×lower--.f64
934×lower--.f32
798×lower-*.f64
798×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023864
144828
2121816
3414816
41835816
53019816
63688816
74118816
84254816
94263816
104390816
114621816
125065816
135254816
145334816
155460816
165561816
175736816
186834816
197468816
08331816
Stop Event
iter limit
node limit
Counts
168 → 168
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))
(* -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))
(/ (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)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (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))
(/ 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)
(/ 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 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) 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))
(* -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))
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(*.f64 (/.f64 y x) y)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(*.f64 (/.f64 y x) y)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(*.f64 (/.f64 y x) y)
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))
(/ 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 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 (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)

rewrite110.0ms (3.6%)

Memory
-2.7MiB live, 75.0MiB allocated
Rules
673×unpow-prod-down
593×lower-*.f32
589×lower-*.f64
395×lower-/.f32
391×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01667
02679
18076
232776
3183476
02667
18060
232755
0183455
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
8 → 297
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
Outputs
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (*.f64 y y)))
(*.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(literal -1 binary64)) (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (neg.f64 (/.f64 y (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) (neg.f64 (/.f64 y (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (sqrt.f64 x)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 y (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 y (sqrt.f64 x)) y))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (*.f64 (*.f64 (*.f64 y y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y y))) (neg.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))) (neg.f64 (/.f64 y (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 y y)) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (/.f64 y (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
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(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(exp.f64 (fma.f64 #s(literal -1/4 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))
(*.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 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 x (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) y)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) #s(literal 1 binary64))
(*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)
(*.f64 y (*.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(*.f64 y (/.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 y #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y) #s(literal 1 binary64))
(/.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)))

eval74.0ms (2.4%)

Memory
4.7MiB live, 79.5MiB allocated
Compiler

Compiled 6 130 to 814 computations (86.7% saved)

prune110.0ms (3.6%)

Memory
-16.5MiB live, 64.2MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4641465
Fresh000
Picked112
Done055
Total4657472
Accuracy
100.0%
Counts
472 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (/.f64 (sqrt.f64 x) y) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))
99.8%
(/.f64 (/.f64 x y) y)
99.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
87.6%
(/.f64 x (*.f64 y y))
99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
87.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 152 to 76 computations (50% saved)

regimes14.0ms (0.5%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
10 → 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 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 (sqrt.f64 x) y) (*.f64 #s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow x -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
Outputs
(/.f64 (/.f64 x y) y)
Calls

4 calls:

4.0ms
x
3.0ms
y
3.0ms
(*.f64 y y)
3.0ms
(/.f64 x (*.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)

regimes45.0ms (1.5%)

Memory
-23.7MiB live, 13.6MiB allocated
Accuracy

Total -0.2b remaining (-2.6%)

Threshold costs -0.2b (-2.6%)

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:

40.0ms
(/.f64 x (*.f64 y y))
1.0ms
x
1.0ms
y
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
87.6%1x
87.6%1y
87.6%1(/.f64 x (*.f64 y y))
87.6%1(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify5.0ms (0.2%)

Memory
11.2MiB live, 11.2MiB 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))

soundness80.0ms (2.7%)

Memory
18.8MiB live, 56.6MiB allocated
Rules
470×lower-*.f32
469×lower-*.f64
397×frac-2neg
392×lower-/.f32
391×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
0610
11810
27710
336010
4213210
068
1188
2778
33608
021328
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 24 to 12 computations (50% saved)

preprocess104.0ms (3.4%)

Memory
-38.7MiB live, 60.5MiB 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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