Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze10.0ms (0.2%)

Memory
23.7MiB live, 23.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample787.0ms (18.1%)

Memory
6.9MiB live, 953.7MiB allocated
Samples
557.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-mult: 186.0ms (74.3% of total)
ival-div: 54.0ms (21.6% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain45.0ms (1%)

Memory
15.6MiB live, 92.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
320-3(-1.169213006955373e-260 -9.258664543269425e-162)(/.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/u170
(*.f64 y y)underflow60
/.f64(/.f64 x (*.f64 y y))n/o120
(*.f64 y y)overflow60
Confusion
Predicted +Predicted -
+293
-0224
Precision
1.0
Recall
0.90625
Confusion?
Predicted +Predicted MaybePredicted -
+2903
-00224
Precision?
1.0
Recall?
0.90625
Freqs
test
numberfreq
0227
129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
21.0ms512×0valid
Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (49.5% of total)
ival-div: 3.0ms (37.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess47.0ms (1.1%)

Memory
-25.4MiB live, 61.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs y)

(negabs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(/.f64 x (*.f64 y y))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.1%)

Memory
3.1MiB live, 3.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

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

localize13.0ms (0.3%)

Memory
22.4MiB live, 22.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy7.303205688877045
(/.f64 x (*.f64 y y))
Samples
9.0ms256×0valid
Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (54.5% of total)
ival-mult: 2.0ms (54.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
-25.1MiB live, 14.1MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
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
5.5MiB live, 5.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite66.0ms (1.5%)

Memory
8.2MiB live, 83.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1188
2778
33608
021328
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
2 → 147
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>

eval29.0ms (0.7%)

Memory
-3.4MiB live, 75.2MiB allocated
Compiler

Compiled 1 885 to 352 computations (81.3% saved)

prune10.0ms (0.2%)

Memory
7.0MiB live, 46.4MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1758183
Fresh000
Picked011
Done000
Total1759184
Accuracy
100.0%
Counts
184 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
75.2%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x))
70.9%
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
88.6%
(/.f64 x (*.f64 y y))
87.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
98.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
99.7%
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 141 to 112 computations (20.6% saved)

simplify105.0ms (2.4%)

Memory
-1.8MiB live, 36.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) (sqrt.f64 y))
cost-diff1984
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) x)
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff832
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) x)
cost-diff0
(*.f64 (/.f64 (neg.f64 y) x) y)
cost-diff448
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 (*.f64 y y) x)
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01893
03281
15381
29581
321781
466081
5171281
6269981
7335381
8359181
9361981
10362881
11368381
12368581
13368781
14368781
15368781
0368781
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(/.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 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 y) x) y)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (neg.f64 y) x)
(neg.f64 y)
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 y)
x
y
(/.f64 (/.f64 x y) y)
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(/.f64 (/.f64 x y) y)
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 y) x) y)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x (sqrt.f64 y)) y)
(/.f64 x y)
x
y
(sqrt.f64 y)

localize92.0ms (2.1%)

Memory
-17.5MiB live, 140.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(sqrt.f64 y)
accuracy0.158535009768442
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy0.22884750976844204
(/.f64 (/.f64 x y) (sqrt.f64 y))
accuracy0
(/.f64 (neg.f64 y) x)
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(neg.f64 y)
accuracy0.17025375976844204
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
accuracy0
(/.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.12890625
(*.f64 (/.f64 (neg.f64 y) x) y)
accuracy0.7194482901224333
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
accuracy0
(*.f64 y y)
accuracy0.7194482901224333
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy7.282419562553986
(/.f64 (*.f64 y y) x)
accuracy0
(/.f64 x y)
accuracy0.1484375
(/.f64 (/.f64 x y) y)
Samples
43.0ms256×0valid
Compiler

Compiled 188 to 38 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 22.0ms (75.4% of total)
ival-mult: 3.0ms (10.3% of total)
ival-sqrt: 2.0ms (6.9% of total)
ival-neg: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.7%)

Memory
27.6MiB live, 73.2MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 y) #<representation binary64>) () ())
Outputs
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#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) (sqrt.f64 y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
3.0ms
y
@0
((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
3.0ms
x
@0
((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
3.0ms
y
@inf
((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (/ (/ 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)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))

simplify189.0ms (4.3%)

Memory
-6.1MiB live, 70.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0271344
1541344
21351344
33321344
413491344
527161344
638051344
743031344
844221344
944601344
1047251344
1148451344
1257841344
1361001344
1461001344
1561001344
1664251344
1767221344
1873231344
1976571344
2078311344
080121344
Stop Event
iter limit
node limit
Counts
288 → 288
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))
(/ (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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (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))
(/ (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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (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))
(/ (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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (/ 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))
(/ (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 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
Outputs
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(sqrt.f64 y)
(sqrt.f64 y)
(sqrt.f64 y)
(sqrt.f64 y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(sqrt.f64 y)
(sqrt.f64 y)
(sqrt.f64 y)
(sqrt.f64 y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(sqrt.f64 y)
(sqrt.f64 y)
(sqrt.f64 y)
(sqrt.f64 y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
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(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)

rewrite203.0ms (4.7%)

Memory
1.2MiB live, 252.0MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01871
03258
111357
258557
3345355
01051655
Stop Event
iter limit
node limit
iter limit
Counts
14 → 2 450
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(*.f64 (/.f64 (neg.f64 y) x) y)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(sqrt.f64 y)
Outputs
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eval770.0ms (17.7%)

Memory
20.4MiB live, 861.4MiB allocated
Compiler

Compiled 47 335 to 4 024 computations (91.5% saved)

prune505.0ms (11.6%)

Memory
-39.1MiB live, 227.6MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New3 07943 083
Fresh033
Picked235
Done011
Total3 081113 092
Accuracy
100.0%
Counts
3 092 → 11
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 (neg.f64 y) x))
75.2%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x))
70.9%
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
88.6%
(/.f64 x (*.f64 y y))
87.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
98.7%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y))
99.7%
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 155 to 123 computations (20.6% saved)

simplify83.0ms (1.9%)

Memory
30.5MiB live, 147.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
cost-diff384
(/.f64 y (/.f64 x y))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff448
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y))
cost-diff0
(*.f64 (*.f64 (neg.f64 y) y) x)
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 (*.f64 x x))
cost-diff512
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) y)
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) y)
cost-diff448
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024115
044111
182111
221396
370396
4271496
5503696
6756896
0802796
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
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 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y))
#s(literal -1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
x
y
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
#s(literal 1 binary64)
(/.f64 y (/.f64 x y))
y
(/.f64 x y)
x
Outputs
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (/.f64 x y) y)
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
(/.f64 (/.f64 x y) y)
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 (/.f64 x y) y)
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 y) x) y)
(/.f64 (neg.f64 y) x)
(/.f64 #s(literal -1 binary64) x)
x
y
(/.f64 (/.f64 x y) y)
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
y
(/.f64 x y)
x

localize75.0ms (1.7%)

Memory
-10.8MiB live, 188.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0.125
(/.f64 y (/.f64 x y))
accuracy0.7194482901224333
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.12890625
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)
accuracy0.20703125
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy0.7194482901224333
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y))
accuracy0
(neg.f64 (*.f64 x x))
accuracy0
(neg.f64 y)
accuracy6.635834329483871
(*.f64 (*.f64 (neg.f64 y) y) x)
accuracy18.07110134635922
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
accuracy0
(/.f64 y x)
accuracy0.12890625
(*.f64 (/.f64 y x) y)
accuracy0.7194482901224333
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy0
(/.f64 (neg.f64 x) y)
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(neg.f64 x)
accuracy0.1875
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Samples
59.0ms256×0valid
Compiler

Compiled 232 to 50 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 18.0ms (44.8% of total)
ival-mult: 18.0ms (44.8% of total)
ival-neg: 3.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.6%)

Memory
-18.9MiB live, 59.7MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify15.0ms (0.3%)

Memory
37.5MiB live, 37.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0201668
1421668
2731668
31251668
41691668
52061668
62421668
73171668
83341668
93361668
03361668
Stop Event
iter limit
saturated
Counts
384 → 384
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ 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))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x 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))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ 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))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x 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))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ 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))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x 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))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(* -1 (/ (pow y 2) x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(/.f64 (neg.f64 y) x)
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 (*.f64 y y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)

rewrite106.0ms (2.4%)

Memory
-19.2MiB live, 173.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02497
04493
113678
269478
0386978
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
19 → 1 353
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(/.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 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
(neg.f64 (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 (neg.f64 y) y) x)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 y (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 x y)
(neg.f64 y)
Outputs
#<batchref>
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eval188.0ms (4.3%)

Memory
17.2MiB live, 317.1MiB allocated
Compiler

Compiled 22 105 to 2 112 computations (90.4% saved)

prune49.0ms (1.1%)

Memory
6.7MiB live, 132.9MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1 73521 737
Fresh112
Picked145
Done134
Total1 738101 748
Accuracy
100.0%
Counts
1 748 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
70.9%
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
70.9%
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y))
88.6%
(/.f64 x (*.f64 y y))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
98.7%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y))
99.7%
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 80 to 63 computations (21.3% saved)

simplify87.0ms (2%)

Memory
-7.9MiB live, 71.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(*.f64 x x)
cost-diff640
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
cost-diff0
(*.f64 (*.f64 (neg.f64 y) x) y)
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 (*.f64 x x))
cost-diff896
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y))
cost-diff0
(/.f64 (sqrt.f64 y) x)
cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
cost-diff1600
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01790
03192
16872
220466
377066
4358766
5623866
6770366
0812766
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(/.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
x
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(*.f64 x x)
x
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
Outputs
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(/.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
x
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(/.f64 x (*.f64 y y))
(*.f64 x x)
x
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y

localize50.0ms (1.1%)

Memory
3.4MiB live, 78.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(*.f64 x x)
accuracy6.635834329483871
(*.f64 (*.f64 y y) x)
accuracy18.07110134635922
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
accuracy0
(neg.f64 (*.f64 x x))
accuracy0
(neg.f64 y)
accuracy0.15625
(*.f64 (*.f64 (neg.f64 y) x) y)
accuracy18.07110134635922
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y))
accuracy0.12890625
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
accuracy0.25390625
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
accuracy0.26171875
(/.f64 (sqrt.f64 y) x)
accuracy0.7194482901224333
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
Samples
32.0ms256×0valid
Compiler

Compiled 182 to 36 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 10.0ms (48.5% of total)
ival-div: 6.0ms (29.1% of total)
ival-sqrt: 2.0ms (9.7% of total)
ival-neg: 2.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.5%)

Memory
18.1MiB live, 56.4MiB allocated
Counts
12 → 240
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (neg (* x x)) (* (* (neg y) x) y)) (neg (* x x)) (* x x) (* (* (neg y) x) y) (/ (* x x) (* (* y y) x)) (* (* y y) x) (* y y) (neg y))
3.0ms
y
@-inf
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (neg (* x x)) (* (* (neg y) x) y)) (neg (* x x)) (* x x) (* (* (neg y) x) y) (/ (* x x) (* (* y y) x)) (* (* y y) x) (* y y) (neg y))
2.0ms
x
@-inf
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (neg (* x x)) (* (* (neg y) x) y)) (neg (* x x)) (* x x) (* (* (neg y) x) y) (/ (* x x) (* (* y y) x)) (* (* y y) x) (* y y) (neg y))
2.0ms
y
@inf
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (neg (* x x)) (* (* (neg y) x) y)) (neg (* x x)) (* x x) (* (* (neg y) x) y) (/ (* x x) (* (* y y) x)) (* (* y y) x) (* y y) (neg y))
2.0ms
y
@0
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (neg (* x x)) (* (* (neg y) x) y)) (neg (* x x)) (* x x) (* (* (neg y) x) y) (/ (* x x) (* (* y y) x)) (* (* y y) x) (* y y) (neg y))

simplify162.0ms (3.7%)

Memory
-27.5MiB live, 92.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0301104
1701056
22161056
36221056
428101056
544501056
652541056
753401056
853761056
953851056
1054491056
1161371056
1268431056
1373631056
1474111056
1574681056
1676091056
1778821056
080101056
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ 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)
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -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))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(* -1 (/ (* y (pow (sqrt -1) 2)) 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))))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -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))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* 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))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* 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))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(* (/ 1 x) (sqrt y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y x) y)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 (sqrt.f64 y) x)
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) (neg.f64 y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)

rewrite146.0ms (3.3%)

Memory
-10.3MiB live, 107.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01774
03176
19950
255650
0436550
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
12 → 960
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(/.f64 (sqrt.f64 y) x)
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y))
(neg.f64 (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 (neg.f64 y) x) y)
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(neg.f64 y)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval147.0ms (3.4%)

Memory
26.1MiB live, 212.6MiB allocated
Compiler

Compiled 16 623 to 1 823 computations (89% saved)

prune38.0ms (0.9%)

Memory
-34.2MiB live, 87.3MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New1 24411 245
Fresh000
Picked123
Done077
Total1 245101 255
Accuracy
100.0%
Counts
1 255 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
70.9%
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
70.9%
(/.f64 (*.f64 x x) (*.f64 (*.f64 x y) y))
88.6%
(/.f64 x (*.f64 y y))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
98.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
98.7%
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y))
99.7%
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 214 to 112 computations (47.7% saved)

regimes22.0ms (0.5%)

Memory
1.8MiB live, 40.4MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x y) y))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) x) y))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
Outputs
(/.f64 (/.f64 x y) y)
Calls

4 calls:

7.0ms
x
5.0ms
y
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 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
Outputs
(/.f64 x (*.f64 y y))
Calls

4 calls:

2.0ms
(*.f64 y y)
1.0ms
y
1.0ms
x
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
88.6%1x
88.6%1y
88.6%1(/.f64 x (*.f64 y y))
88.6%1(*.f64 y y)
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify24.0ms (0.5%)

Memory
19.5MiB live, 57.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

soundness74.0ms (1.7%)

Memory
-20.9MiB live, 65.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 20 to 12 computations (40% saved)

preprocess120.0ms (2.8%)

Memory
2.3MiB live, 77.5MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 80 to 60 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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