Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

Time bar (total: 4.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
1×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)

sample744.0ms (18%)

Memory
25.1MiB live, 682.6MiB allocated
Samples
439.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 238.0ms
ival-mult: 156.0ms (65.4% of total)
ival-div: 74.0ms (31% of total)
ival-true: 6.0ms (2.5% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain46.0ms (1.1%)

Memory
-11.7MiB live, 108.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-2(5.891667874391152e-165 -5.424196912046258e-156)(/.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/o230
↳(*.f64 y y)overflow69
/.f64(/.f64 x (*.f64 y y))n/u180
↳(*.f64 y y)underflow62
Confusion
Predicted +Predicted -
+412
-0213
Precision
1.0
Recall
0.9534883720930233
Confusion?
Predicted +Predicted MaybePredicted -
+4102
-00213
Precision?
1.0
Recall?
0.9534883720930233
Freqs
test
numberfreq
0215
141
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
20.0ms512×0valid
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 (50.6% of total)
ival-div: 3.0ms (37.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess40.0ms (1%)

Memory
15.7MiB live, 53.2MiB allocated
Algorithm
1×egg-herbie
Rules
892×times-frac
198×associate-*r*
198×associate-*l*
174×associate-/r*
122×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01227
13927
210527
332727
482527
5135927
6150427
7153027
8154827
9156427
045
065
185
085
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶84.8%
(/.f64 x (*.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
1810
0810
Stop Event
1×iter limit
1×saturated
1×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

localize16.0ms (0.4%)

Memory
7.8MiB live, 44.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy9.696589998373364
(/.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 (54.3% of total)
ival-mult: 2.0ms (54.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-20.7MiB live, 16.1MiB 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 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 (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 (/ 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 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 (/ 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 -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 (/ 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>) () ())) ())
Calls

6 calls:

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

simplify3.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
1×egg-herbie
Rules
6×lower-/.f32
6×lower-/.f64
2×lower-*.f64
2×lower-pow.f64
2×unpow2
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite85.0ms (2.1%)

Memory
-39.9MiB live, 111.4MiB allocated
Rules
940×lower-*.f32
938×lower-*.f64
784×lower-/.f32
782×lower-/.f64
194×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1188
2778
33608
021328
Stop Event
1×iter limit
1×iter limit
1×node limit
1×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 y) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (*.f64 y y) x) #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 y) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #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 (neg.f64 x) (*.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 (neg.f64 x) (*.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 y) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #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 (neg.f64 x) (*.f64 y y)) (/.f64 (neg.f64 x) (*.f64 y y)))) (/.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 (neg.f64 x) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (*.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) x) y)) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 (neg.f64 y) x) y)))
(/.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 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.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) x) y))
(/.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 y) x))
(/.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 (neg.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 (neg.f64 x) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #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 (0.4%)

Memory
1.7MiB live, 40.7MiB allocated
Compiler

Compiled 1 871 to 346 computations (81.5% saved)

prune56.0ms (1.4%)

Memory
-2.3MiB live, 78.3MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1749183
Fresh000
Picked011
Done000
Total17410184
Accuracy
100.0%
Counts
184 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶99.8%
(/.f64 (/.f64 x y) y)
83.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
▶99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓84.8%
(/.f64 x (*.f64 y y))
▶84.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
99.3%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
93.7%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶83.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 183 to 116 computations (36.6% saved)

simplify9.0ms (0.2%)

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

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(/.f64 x y)
cost-diff384
(/.f64 (/.f64 x y) (sqrt.f64 y))
cost-diff1984
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 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 y)
cost-diff0
(/.f64 (*.f64 y y) x)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
cost-diff0
(/.f64 x y)
cost-diff384
(/.f64 (/.f64 x y) y)
Rules
124×lower-*.f32
120×lower-*.f64
110×associate-*r*
84×lower-/.f32
80×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01684
02974
14374
25874
312774
424474
533074
633174
733274
033274
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(/.f64 (/.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 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x y)
x
y
(sqrt.f64 y)
Outputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(/.f64 (/.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 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) y))
(/.f64 x y)
x
y
(sqrt.f64 y)

localize71.0ms (1.7%)

Memory
-2.6MiB live, 74.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(sqrt.f64 y)
accuracy0.166347509768442
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy0.21941376953688402
(/.f64 (/.f64 x y) (sqrt.f64 y))
accuracy0
(/.f64 y x)
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.16244125976844204
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
accuracy0
(*.f64 y y)
accuracy0.3732979047379629
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy9.50474482130094
(/.f64 (*.f64 y y) x)
accuracy0
(*.f64 y y)
accuracy0.43733141300404854
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy10.03780267091446
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
accuracy0
(/.f64 x y)
accuracy0.12890625
(/.f64 (/.f64 x y) y)
Samples
61.0ms256×0valid
Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 43.0ms (88.6% of total)
ival-mult: 3.0ms (6.2% of total)
ival-sqrt: 2.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (1%)

Memory
2.6MiB live, 43.6MiB allocated
Counts
13 → 264
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())
Outputs
#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 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 (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 (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.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>) () ())) ())
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#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 y y) x) (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) (sqrt.f64 y)) (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
25.0ms
y
@-inf
((/ (/ x y) y) (/ x y) (* (/ 1 (* y y)) x) (/ 1 (* y y)) (* y y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (/ (/ 1 y) (/ y x)) (/ 1 y) (/ y x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
4.0ms
x
@0
((/ (/ x y) y) (/ x y) (* (/ 1 (* y y)) x) (/ 1 (* y y)) (* y y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (/ (/ 1 y) (/ y x)) (/ 1 y) (/ y x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
2.0ms
y
@inf
((/ (/ x y) y) (/ x y) (* (/ 1 (* y y)) x) (/ 1 (* y y)) (* y y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (/ (/ 1 y) (/ y x)) (/ 1 y) (/ y x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
2.0ms
x
@-inf
((/ (/ x y) y) (/ x y) (* (/ 1 (* y y)) x) (/ 1 (* y y)) (* y y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (/ (/ 1 y) (/ y x)) (/ 1 y) (/ y x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
2.0ms
y
@0
((/ (/ x y) y) (/ x y) (* (/ 1 (* y y)) x) (/ 1 (* y y)) (* y y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (/ (/ 1 y) (/ y x)) (/ 1 y) (/ y x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))

simplify177.0ms (4.3%)

Memory
15.6MiB live, 89.1MiB allocated
Algorithm
1×egg-herbie
Rules
1 784×lower-*.f64
1 784×lower-*.f32
1 756×lower-fma.f64
1 756×lower-fma.f32
1 536×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0251212
1431212
21171212
32961212
49291212
524941212
633171212
740861212
843311212
943801212
1043951212
1147261212
1256161212
1360341212
1460911212
1561301212
1662001212
1762711212
1863761212
1965481212
2067041212
2171241212
080461212
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 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))
(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))
(/ (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))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 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 (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(/ 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 (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))
(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))
(/ (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))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 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 (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(/ 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 (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))
(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))
(/ (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))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x 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))
(/ (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))
(/ 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 (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(/ 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 (pow y 2))
(/ x (pow y 2))
(/ 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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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 (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(/ 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 (pow y 2))
(/ x (pow y 2))
(/ 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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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 (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
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 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))
(/ 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)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 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)
(/ 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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x 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))
(/ 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)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 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)
(/ 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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x 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))
(/ 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)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x 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))
(/ (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))
(/ 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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y 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 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))
(/ (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))
(/ 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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y 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 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))
(/ (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))
(/ 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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)

rewrite193.0ms (4.7%)

Memory
-18.6MiB live, 339.9MiB allocated
Rules
2 050×lower-*.f32
2 046×lower-*.f64
1 806×lower-/.f32
1 786×lower-/.f64
1 256×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01665
02955
110052
250452
3270852
0907352
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 2 003
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (*.f64 y y) x)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) y)
(/.f64 y x)
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(sqrt.f64 y)
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y y)))) (sqrt.f64 (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 x y) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) 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 x (*.f64 (sqrt.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (/.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y y)))))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 (neg.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x #s(literal -1 binary64)))
(*.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)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x)))
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 y) y) (/.f64 x (sqrt.f64 y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (neg.f64 (sqrt.f64 y)) x))) y)
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))) y)
(/.f64 (neg.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 (sqrt.f64 y)))) (neg.f64 (sqrt.f64 (sqrt.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 y) y))
(/.f64 (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 y) y))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 y) y))
(/.f64 (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 y) y))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))) (*.f64 (/.f64 (sqrt.f64 y) x) y))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 y) x))) (*.f64 (sqrt.f64 y) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (neg.f64 (sqrt.f64 y)) x)))) (/.f64 (*.f64 y y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)))) (/.f64 (*.f64 y y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 y)) (*.f64 (/.f64 y x) (/.f64 x (*.f64 (sqrt.f64 y) y)))) (*.f64 (/.f64 (sqrt.f64 y) x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 y x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 y x) (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 y))) (*.f64 (/.f64 y x) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 (sqrt.f64 y))))) (*.f64 (/.f64 y x) (sqrt.f64 (sqrt.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 y x) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))))) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 y x) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))))) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 y x) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal -1 binary64)))) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 y x) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal 1 binary64)))) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 y x) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1 binary64)))) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 y x) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)))) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) y)) (*.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)))) (*.f64 (/.f64 y x) (*.f64 (/.f64 (sqrt.f64 y) x) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (/.f64 y x) (/.f64 (neg.f64 x) (sqrt.f64 y)))) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x (*.f64 y y)))) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) y)) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 y x) (*.f64 (/.f64 (sqrt.f64 y) x) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))) (*.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 y x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))) (*.f64 (/.f64 (sqrt.f64 y) x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 y x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 #s(literal -1 binary64) y))) (*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 y)))) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 #s(literal -1 binary64) y))) (*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (sqrt.f64 y) y) (neg.f64 x))) (*.f64 (*.f64 y y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) y)) (*.f64 (*.f64 (sqrt.f64 y) y) #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (/.f64 (sqrt.f64 y) x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 x (*.f64 (sqrt.f64 y) y)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 #s(literal -1 binary64) y))) (*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 y y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (*.f64 (sqrt.f64 y) y)) (*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 y (/.f64 x (sqrt.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 y) x)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 x y) (sqrt.f64 (sqrt.f64 y))))) (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))) (/.f64 (neg.f64 (sqrt.f64 y)) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) x)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 y))))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (sqrt.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)))) (*.f64 (/.f64 (sqrt.f64 y) x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (/.f64 (neg.f64 x) (sqrt.f64 y)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 (sqrt.f64 y) x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))) (/.f64 (sqrt.f64 y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 (sqrt.f64 y) x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) y))) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 y)))) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) y))) (*.f64 (sqrt.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (sqrt.f64 y) (neg.f64 x))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 y) (/.f64 x y))) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) y)) (neg.f64 (sqrt.f64 y))) (/.f64 (*.f64 y y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) (/.f64 x (*.f64 (sqrt.f64 y) y)))) (sqrt.f64 y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) y))) (*.f64 (sqrt.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (*.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) y))) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x (sqrt.f64 y)))) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (/.f64 y (/.f64 x (sqrt.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) y)) (sqrt.f64 y)) (/.f64 (*.f64 y y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (/.f64 x y))) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (*.f64 (sqrt.f64 y) x)) (*.f64 y y))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) y)
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 x (*.f64 (sqrt.f64 y) y)))) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (sqrt.f64 y) y))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 x (*.f64 (sqrt.f64 y) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (sqrt.f64 y) y))))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 y) x)) y)
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) x)) y)
(/.f64 (neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 y))) y)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))) y)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))) y)
(/.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) y)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (sqrt.f64 y)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 y x))
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal -1 binary64))
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) y))
(/.f64 (/.f64 x y) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x (sqrt.f64 y)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 y)))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (sqrt.f64 y)) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sqrt.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) y))
(/.f64 x (*.f64 (sqrt.f64 y) y))
(neg.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 y)) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(exp.f64 (-.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (/.f64 x (*.f64 (sqrt.f64 y) y))))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (neg.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 (sqrt.f64 y) (fabs.f64 (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 y) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 y (sqrt.f64 y))
(neg.f64 (neg.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 y)))
(fabs.f64 (-.f64 (neg.f64 (sqrt.f64 y)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 y)))
(fabs.f64 (sqrt.f64 y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))

eval909.0ms (22%)

Memory
12.5MiB live, 633.3MiB allocated
Compiler

Compiled 38 490 to 2 911 computations (92.4% saved)

prune316.0ms (7.6%)

Memory
15.4MiB live, 497.0MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2 46242 466
Fresh314
Picked235
Done011
Total2 46792 476
Accuracy
100.0%
Counts
2 476 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.8%
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
✓99.8%
(/.f64 (/.f64 x y) y)
✓99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
▶99.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓84.8%
(/.f64 x (*.f64 y y))
▶99.4%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
▶99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
▶99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓83.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 130 to 82 computations (36.9% saved)

simplify17.0ms (0.4%)

Memory
-33.6MiB live, 22.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 (sqrt.f64 y) y)
cost-diff0
(/.f64 x (*.f64 (sqrt.f64 y) y))
cost-diff1984
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
cost-diff0
(/.f64 x y)
cost-diff384
(/.f64 y (/.f64 x y))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) y)
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x y)
cost-diff704
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
Rules
578×times-frac
176×lower-/.f32
176×lower-*.f32
168×lower-*.f64
158×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01898
03392
15782
28682
318182
437982
556882
672882
773182
873682
073682
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
#s(literal 1 binary64)
(/.f64 y (/.f64 x y))
y
(/.f64 x y)
x
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) y))
x
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
y
Outputs
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 #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 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(/.f64 y (/.f64 x y))
(*.f64 (/.f64 y x) y)
y
(/.f64 x y)
x
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 y x)
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 (sqrt.f64 y) y))
x
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
y

localize49.0ms (1.2%)

Memory
9.5MiB live, 126.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 y)
accuracy0.166347509768442
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
accuracy0.17578125
(*.f64 (sqrt.f64 y) y)
accuracy7.823062759595434
(/.f64 x (*.f64 (sqrt.f64 y) y))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.16244125976844204
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy0.21484375
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy0
(/.f64 x y)
accuracy0.1328125
(/.f64 y (/.f64 x y))
accuracy0.3732979047379629
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
accuracy0
(/.f64 y x)
accuracy0.109375
(*.f64 (/.f64 y x) y)
accuracy0.3732979047379629
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy0
(/.f64 x y)
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.170253759768442
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
Samples
37.0ms256×0valid
Compiler

Compiled 100 to 20 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 16.0ms (67.7% of total)
ival-mult: 5.0ms (21.2% of total)
ival-sqrt: 2.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.5%)

Memory
17.4MiB live, 59.6MiB allocated
Counts
15 → 312
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 x y)) (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (sqrt.f64 y) y)) (patch (/.f64 x (*.f64 (sqrt.f64 y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 y) y) (patch (*.f64 (sqrt.f64 y) y) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 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 (/ 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 (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (/.f64 y (/.f64 x y)) (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (/.f64 y (/.f64 x y)) (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (/.f64 y (/.f64 x y)) (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 y) (#s(alt (/.f64 y (/.f64 x y)) (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (patch (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (sqrt.f64 y) y)) (patch (/.f64 x (*.f64 (sqrt.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (sqrt.f64 y) y)) (patch (/.f64 x (*.f64 (sqrt.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (sqrt.f64 y) y)) (patch (/.f64 x (*.f64 (sqrt.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (sqrt.f64 y) y)) (patch (/.f64 x (*.f64 (sqrt.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow y 3)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 y) y) (patch (*.f64 (sqrt.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow y 3)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 y) y) (patch (*.f64 (sqrt.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow y 3)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 y) y) (patch (*.f64 (sqrt.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow y 3)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 y) y) (patch (*.f64 (sqrt.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 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 (/ 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 inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) (patch (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (sqrt.f64 y) y)) (patch (/.f64 x (*.f64 (sqrt.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (sqrt.f64 y) y)) (patch (/.f64 x (*.f64 (sqrt.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (sqrt.f64 y) y)) (patch (/.f64 x (*.f64 (sqrt.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt (/ 1 (pow y 3)))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (sqrt.f64 y) y)) (patch (/.f64 x (*.f64 (sqrt.f64 y) y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (/ x y) (/ 1 y)) (/ x y) (/ 1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ 1 (/ y (/ x y))) (/ y (/ x y)) (/ (/ 1 y) (* (/ 1 x) y)) (* (/ 1 x) y) (/ 1 x) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y))
3.0ms
x
@0
((* (/ x y) (/ 1 y)) (/ x y) (/ 1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ 1 (/ y (/ x y))) (/ y (/ x y)) (/ (/ 1 y) (* (/ 1 x) y)) (* (/ 1 x) y) (/ 1 x) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y))
2.0ms
x
@-inf
((* (/ x y) (/ 1 y)) (/ x y) (/ 1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ 1 (/ y (/ x y))) (/ y (/ x y)) (/ (/ 1 y) (* (/ 1 x) y)) (* (/ 1 x) y) (/ 1 x) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y))
2.0ms
y
@0
((* (/ x y) (/ 1 y)) (/ x y) (/ 1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ 1 (/ y (/ x y))) (/ y (/ x y)) (/ (/ 1 y) (* (/ 1 x) y)) (* (/ 1 x) y) (/ 1 x) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y))
2.0ms
y
@inf
((* (/ x y) (/ 1 y)) (/ x y) (/ 1 y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ 1 (/ y (/ x y))) (/ y (/ x y)) (/ (/ 1 y) (* (/ 1 x) y)) (* (/ 1 x) y) (/ 1 x) (/ (/ x (* (sqrt y) y)) (sqrt y)) (/ x (* (sqrt y) y)) (* (sqrt y) y) (sqrt y))

simplify189.0ms (4.6%)

Memory
-30.8MiB live, 167.5MiB allocated
Algorithm
1×egg-herbie
Rules
1 796×lower-*.f64
1 796×lower-*.f32
1 784×lower-fma.f64
1 784×lower-fma.f32
1 488×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0281392
1511392
21431392
33471392
410481392
526701392
635321392
742711392
844901392
945401392
1045521392
1148501392
1257321392
1361501392
1461971392
1562371392
1663031392
1763731392
1864881392
1966611392
2068171392
2172251392
080411392
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x 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))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) 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))
(/ (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))
(/ 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 (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x 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))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) 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))
(/ (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))
(/ 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 (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt (pow y 3))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x 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))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) 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))
(/ (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))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
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 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)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ 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))
(/ (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))
(/ 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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(sqrt (pow y 3))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x 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)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ 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))
(/ (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))
(/ 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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(sqrt (pow y 3))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(sqrt (pow y 3))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x 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)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ 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))
(/ (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))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x 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))
(/ (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)
(/ 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))
(/ (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))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y 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 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))
(/ (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)
(/ 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))
(/ (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))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y 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 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))
(/ (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)
(/ 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))
(/ (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))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.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 (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x)

rewrite113.0ms (2.7%)

Memory
30.1MiB live, 225.6MiB allocated
Rules
1 622×lower-*.f32
1 614×lower-*.f64
1 550×lower-/.f32
1 532×lower-/.f64
1 040×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01878
03362
111560
253360
3264960
0889360
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 290
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 y (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) y))
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y y)))) (sqrt.f64 (/.f64 x (*.f64 y y))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -5/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -7/4 binary64)) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -7/4 binary64)))
(*.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -7/4 binary64)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y y)))))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (/.f64 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) y) (/.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 y x) y)))
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(/.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 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (pow.f64 y #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 y (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (pow.f64 y #s(literal -1/4 binary64))))) (pow.f64 y #s(literal 5/4 binary64)))
(/.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 (/.f64 x (*.f64 y y)))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (sqrt.f64 y)))) (*.f64 y (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (*.f64 (sqrt.f64 y) y)))) (*.f64 (sqrt.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (neg.f64 x))) (*.f64 (*.f64 y y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y x)) (*.f64 (*.f64 y y) 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 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) (neg.f64 x))) (*.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (pow.f64 y #s(literal -1/4 binary64))))) (*.f64 (*.f64 y y) (pow.f64 y #s(literal 1/4 binary64))))
(/.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 y) (/.f64 x (*.f64 y y)))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 x (sqrt.f64 y)))) (*.f64 (*.f64 y y) (*.f64 (sqrt.f64 y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 x (*.f64 (sqrt.f64 y) y)))) (*.f64 (*.f64 y y) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.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 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) x)) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 y) (neg.f64 x))) (*.f64 (sqrt.f64 y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (pow.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 y x) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (sqrt.f64 y) y) x)))
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(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sqrt.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (neg.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 x (*.f64 (sqrt.f64 y) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (sqrt.f64 y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 y) y) x))
(/.f64 x (*.f64 (sqrt.f64 y) y))
(neg.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal 0 binary64))) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (/.f64 x (*.f64 (sqrt.f64 y) y))) (/.f64 x (*.f64 (sqrt.f64 y) y))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal 3/2 binary64) (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (log.f64 (/.f64 x y))))
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 x y))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (log.f64 (/.f64 x y))))
(exp.f64 (+.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (neg.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 y) y) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (sqrt.f64 y) y)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (sqrt.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 0 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y))
(*.f64 (*.f64 (sqrt.f64 y) y) #s(literal -1 binary64))
(*.f64 (*.f64 (sqrt.f64 y) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) y)
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) y))
(*.f64 y (sqrt.f64 y))
(pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3/2 binary64))
(pow.f64 y #s(literal 3/2 binary64))
(/.f64 (*.f64 (*.f64 y y) y) (*.f64 (sqrt.f64 y) y))
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (sqrt.f64 y) y)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) y) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (sqrt.f64 y) y)) (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (sqrt.f64 y) y)) (fma.f64 (*.f64 y y) y #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))
(/.f64 (*.f64 (sqrt.f64 y) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (sqrt.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 y) y) #s(literal 1 binary64))
(/.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (*.f64 y y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) y #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (sqrt.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) y)))
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(neg.f64 (*.f64 (sqrt.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) y #s(literal 0 binary64))) (*.f64 (sqrt.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y))
(exp.f64 (-.f64 (log.f64 y) (neg.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 y) y))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 0 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 y) #s(literal -1 binary64))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 y) y) (+.f64 #s(literal 0 binary64) (-.f64 y #s(literal 0 binary64))))
(/.f64 (*.f64 (sqrt.f64 y) y) (neg.f64 (+.f64 y #s(literal 0 binary64))))
(/.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (sqrt.f64 y) y) (+.f64 y #s(literal 0 binary64)))
(/.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 y) #s(literal -1 binary64))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 0 binary64)) (*.f64 (sqrt.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 y (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 0 binary64))) (sqrt.f64 y))
(-.f64 #s(literal 0 binary64) (sqrt.f64 y))
(fabs.f64 (sqrt.f64 y))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 y))

eval214.0ms (5.2%)

Memory
-17.0MiB live, 494.8MiB allocated
Compiler

Compiled 24 049 to 2 254 computations (90.6% saved)

prune140.0ms (3.4%)

Memory
20.2MiB live, 352.7MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 81711 818
Fresh000
Picked145
Done044
Total1 81891 827
Accuracy
100.0%
Counts
1 827 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (/.f64 x y) y)
✓99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓99.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
▶78.3%
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x)))
✓84.8%
(/.f64 x (*.f64 y y))
✓99.4%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
✓99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓83.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 81 to 51 computations (37% saved)

simplify153.0ms (3.7%)

Memory
-14.6MiB live, 142.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) (/.f64 y x))
cost-diff1024
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x)))
Rules
5 748×lower-*.f32
5 744×lower-*.f64
3 644×cube-prod
2 178×lower-/.f32
2 174×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0624
01024
11724
23120
34718
46618
514818
633218
788318
899318
9111118
10131018
11158918
12194818
13397218
14510118
15590918
16651118
17705918
18739018
19748318
0929918
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x)))
y
(*.f64 (*.f64 y y) (/.f64 y x))
(*.f64 y y)
(/.f64 y x)
x
Outputs
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x)))
(/.f64 x (*.f64 y y))
y
(*.f64 (*.f64 y y) (/.f64 y x))
(*.f64 (*.f64 (/.f64 y x) y) y)
(*.f64 y y)
(/.f64 y x)
x

localize26.0ms (0.6%)

Memory
2.5MiB live, 44.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(*.f64 y y)
accuracy2.189387688713806
(*.f64 (*.f64 y y) (/.f64 y x))
accuracy11.653063731949562
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x)))
Samples
22.0ms256×0valid
Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 11.0ms (75.2% of total)
ival-div: 3.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-16.2MiB live, 22.5MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<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 (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<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 (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<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 (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) (patch (/.f64 y (*.f64 (*.f64 y y) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 3) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) (/.f64 y x)) (patch (*.f64 (*.f64 y y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
1×egg-herbie
Rules
18×lower-*.f64
18×lower-*.f32
12×lower-/.f32
12×lower-/.f64
6×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09348
112348
219348
325348
428348
028348
Stop Event
1×iter limit
1×saturated
Counts
84 → 84
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) 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))
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) 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))
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ 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))
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ 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))
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ 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))
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) 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))
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) 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))
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ (pow y 3) x)
(/.f64 (*.f64 (*.f64 y y) y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite90.0ms (2.2%)

Memory
12.0MiB live, 130.3MiB allocated
Rules
1 758×div-exp
1 566×lower-*.f32
1 562×lower-*.f64
1 190×lower-fma.f64
1 190×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0622
01022
13318
217616
3117516
4431416
0922616
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 336
Calls
Call 1
Inputs
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x)))
(*.f64 (*.f64 y y) (/.f64 y x))
(*.f64 y y)
(/.f64 y x)
Outputs
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y y)))) (sqrt.f64 (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y y)))))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) (sqrt.f64 (/.f64 x (*.f64 y y))))
(*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) (neg.f64 y))
(*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) y)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (*.f64 y y) y)))
(*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y (/.f64 x (*.f64 (*.f64 y y) y)))
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y y))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(/.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) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) (/.f64 x (*.f64 y y)))) (+.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))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 y x) y) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 y x) y) y)))
(+.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 0 binary64)) (*.f64 (*.f64 (/.f64 y x) y) y))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) y)) (*.f64 (*.f64 (/.f64 y x) y) y))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 y x) y) y))
(+.f64 (*.f64 (*.f64 (/.f64 y x) y) y) #s(literal 0 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 y))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 y))
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (neg.f64 y) y))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 0 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 y y) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 y))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) y) #s(literal 0 binary64))
(fma.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 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #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 (-.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)) (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.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))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (neg.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) y))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x y) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 y x))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (*.f64 #s(literal 0 binary64) (/.f64 y x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 x (*.f64 (/.f64 y x) y))) (*.f64 x y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x (*.f64 (neg.f64 y) y))) (*.f64 x (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (/.f64 y x) y))) (*.f64 x y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 x y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x y)))
(/.f64 (*.f64 x y) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 x y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (*.f64 (/.f64 y x) y) (neg.f64 y))
(/.f64 (*.f64 (/.f64 y x) y) y)
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 y) x)
(/.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 y y) (*.f64 x y))
(/.f64 y x)
(neg.f64 (/.f64 y x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 y x) y)) (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) (log.f64 y)))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (*.f64 x y))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 y x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (/.f64 y x))

eval46.0ms (1.1%)

Memory
-10.1MiB live, 102.4MiB allocated
Compiler

Compiled 5 617 to 962 computations (82.9% saved)

prune128.0ms (3.1%)

Memory
1.9MiB live, 130.4MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New4191420
Fresh000
Picked101
Done088
Total4209429
Accuracy
100.0%
Counts
429 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (/.f64 x y) y)
✓99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓99.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓84.8%
(/.f64 x (*.f64 y y))
✓99.4%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
71.9%
(*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) y)
✓99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓83.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
Compiler

Compiled 208 to 93 computations (55.3% saved)

regimes22.0ms (0.5%)

Memory
3.2MiB live, 42.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) y)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
Outputs
(/.f64 (/.f64 x y) y)
Calls

4 calls:

7.0ms
y
5.0ms
x
5.0ms
(*.f64 y y)
4.0ms
(/.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)

regimes6.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
Accuracy

Total -0.7b remaining (-7.4%)

Threshold costs -0.7b (-7.4%)

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:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
84.8%1x
84.8%1y
84.8%1(/.f64 x (*.f64 y y))
84.8%1(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify8.0ms (0.2%)

Memory
-28.5MiB live, 12.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
Stop Event
1×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))

soundness70.0ms (1.7%)

Memory
25.6MiB live, 64.7MiB allocated
Rules
940×lower-*.f32
938×lower-*.f64
784×lower-/.f32
782×lower-/.f64
194×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 24 to 12 computations (50% saved)

preprocess86.0ms (2.1%)

Memory
-7.2MiB live, 67.7MiB 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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