From Rump in a 1983 paper

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 23 to 18 computations (21.7% saved)

sample1.2s (26.2%)

Memory
-34.2MiB live, 1 810.1MiB allocated
Samples
840.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 580.0ms
ival-pow: 185.0ms (31.9% of total)
ival-mult: 162.0ms (27.9% of total)
ival-==: 101.0ms (17.4% of total)
ival-sub: 53.0ms (9.1% of total)
ival-add: 43.0ms (7.4% of total)
exact: 20.0ms (3.4% of total)
ival-and: 11.0ms (1.9% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain147.0ms (3.2%)

Memory
1.6MiB live, 234.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
00-0-(*.f64 #s(literal 2 binary64) (*.f64 y y))
00-0-#s(literal 9 binary64)
00-0-#s(literal 4 binary64)
00-0-(pow.f64 y #s(literal 4 binary64))
00-0-y
00-0-#s(literal 2 binary64)
01(10864.0 18817.0)0-(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
00-0-(pow.f64 x #s(literal 4 binary64))
00-0-(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))cancellation10
-.f64(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))cancellation10
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
2256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms512×0valid
Compiler

Compiled 163 to 52 computations (68.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-add: 19.0ms (46.3% of total)
ival-mult: 9.0ms (21.9% of total)
ival-pow: 9.0ms (21.9% of total)
ival-sub: 2.0ms (4.9% of total)
ival-true: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)

preprocess64.0ms (1.4%)

Memory
14.1MiB live, 87.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881
17879
222079
350879
495879
5135579
6152579
7159679
8160379
01215
01915
12815
25515
39415
418115
535215
654115
763015
867015
967215
067214
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Outputs
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.8%
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify22.0ms (0.5%)

Memory
-1.7MiB live, 35.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
cost-diff128
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
01948
12848
25548
39448
418148
535248
654148
763048
867048
967248
067247
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(*.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
Outputs
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(*.f64 (*.f64 y y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)

localize41.0ms (0.9%)

Memory
12.9MiB live, 66.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy0
(*.f64 #s(literal 2 binary64) (*.f64 y y))
accuracy23.000000171982702
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
Samples
33.0ms256×0valid
Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-pow: 13.0ms (62.2% of total)
ival-mult: 4.0ms (19.1% of total)
ival-sub: 1.0ms (4.8% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.4%)

Memory
-12.1MiB live, 26.3MiB allocated
Counts
6 → 96
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.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 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.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 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.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 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) (*.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 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
2.0ms
y
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms
y
@0
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms
x
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms
x
@0
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))

simplify136.0ms (3%)

Memory
11.9MiB live, 197.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042688
197673
2197673
3398673
41027667
53486667
67302667
08100651
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 9 (pow x 4))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))

rewrite160.0ms (3.5%)

Memory
10.9MiB live, 206.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
01940
16440
247140
3682540
0807739
Stop Event
iter limit
node limit
iter limit
Counts
6 → 250
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 y y)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval94.0ms (2%)

Memory
13.9MiB live, 96.4MiB allocated
Compiler

Compiled 11 399 to 788 computations (93.1% saved)

prune16.0ms (0.3%)

Memory
2.2MiB live, 37.7MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3424346
Fresh000
Picked101
Done000
Total3434347
Accuracy
100.0%
Counts
347 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
100.0%
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
9.6%
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
1.5%
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
Compiler

Compiled 78 to 58 computations (25.6% saved)

simplify58.0ms (1.3%)

Memory
-14.1MiB live, 23.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 9 binary64))
cost-diff320
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
cost-diff0
(fma.f64 y y #s(literal -2 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
cost-diff0
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
cost-diff0
(-.f64 #s(literal 2 binary64) (*.f64 y y))
cost-diff0
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
cost-diff0
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031176
049172
199172
2207170
3406168
4655168
5944168
61223168
71429168
81611168
91704168
101716168
111716168
121718168
01718168
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
y
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(*.f64 y y)
y
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
#s(literal 2 binary64)
Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)
y
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(*.f64 y y)
y
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
#s(literal 2 binary64)

localize115.0ms (2.5%)

Memory
4.3MiB live, 126.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 y)
accuracy61.99859042974503
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy0
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(neg.f64 y)
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy0
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy57.826291447367076
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
accuracy0
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
accuracy0
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
accuracy0
(*.f64 y y)
accuracy63.038054683620885
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
Samples
96.0ms256×0valid
Compiler

Compiled 345 to 65 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-add: 25.0ms (37.2% of total)
ival-mult: 18.0ms (26.8% of total)
ival-pow: 15.0ms (22.3% of total)
ival-neg: 6.0ms (8.9% of total)
ival-sub: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory
5.7MiB live, 41.3MiB allocated
Counts
16 → 240
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.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>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))
2.0ms
x
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))
2.0ms
y
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))
2.0ms
x
@-inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))
2.0ms
y
@0
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))

simplify101.0ms (2.2%)

Memory
19.8MiB live, 133.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612020
11571948
23761948
311281948
430771916
559391884
081181811
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* 2 y)
(* y (+ 2 (* -1 (pow y 2))))
(* y (+ 2 (* -1 (pow y 2))))
(* y (+ 2 (* -1 (pow y 2))))
2
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-2
(- (pow y 2) 2)
(- (pow y 2) 2)
(- (pow y 2) 2)
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 3))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 3))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
#s(literal -2 binary64)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(*.f64 (neg.f64 y) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(*.f64 y y)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(*.f64 (neg.f64 y) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
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(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
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(*.f64 (*.f64 x x) #s(literal 9 binary64))
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(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)

rewrite210.0ms (4.6%)

Memory
-27.3MiB live, 285.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031137
049133
1200133
21454128
09083124
Stop Event
iter limit
node limit
iter limit
Counts
16 → 890
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(*.f64 y y)
Outputs
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eval227.0ms (4.9%)

Memory
33.7MiB live, 307.8MiB allocated
Compiler

Compiled 35 142 to 1 978 computations (94.4% saved)

prune281.0ms (6.1%)

Memory
10.7MiB live, 88.3MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1 22321 225
Fresh000
Picked404
Done000
Total1 22721 229
Accuracy
100.0%
Counts
1 229 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
11.1%
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
Compiler

Compiled 45 to 29 computations (35.6% saved)

simplify61.0ms (1.3%)

Memory
-28.2MiB live, 19.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y #s(literal -2 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
cost-diff0
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y)
cost-diff0
(*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
cost-diff0
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025107
035107
173101
217495
338594
461794
592394
6123594
7158394
8176994
9178894
10179094
11179394
12180194
0180194
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
(*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
(*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y)
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
#s(literal 2 binary64)
y
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 9 binary64)
Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
(*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
(*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y)
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
#s(literal 2 binary64)
y
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)

localize64.0ms (1.4%)

Memory
14.5MiB live, 89.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 y)
accuracy0
(*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
accuracy0
(*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y)
accuracy63.01911743068786
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
accuracy63.038054683620885
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
Samples
49.0ms256×0valid
Compiler

Compiled 201 to 53 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 14.0ms (36.7% of total)
ival-add: 13.0ms (34% of total)
ival-sub: 4.0ms (10.5% of total)
ival-pow: 4.0ms (10.5% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.4%)

Memory
-15.1MiB live, 23.4MiB allocated
Counts
10 → 144
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.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 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))
1.0ms
x
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))
1.0ms
y
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))
1.0ms
x
@-inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))
1.0ms
x
@0
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (* x x) (* (* x x) (* x x)))

simplify244.0ms (5.3%)

Memory
4.9MiB live, 123.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0571053
1143990
2344990
31069990
43324990
55864990
08134949
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* 2 y)
(* y (+ 2 (* -1 (pow y 2))))
(* y (+ 2 (* -1 (pow y 2))))
(* y (+ 2 (* -1 (pow y 2))))
2
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-2
(- (pow y 2) 2)
(- (pow y 2) 2)
(- (pow y 2) 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 3))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 3))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
#s(literal 2 binary64)
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
#s(literal -2 binary64)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(*.f64 (neg.f64 y) y)
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(*.f64 y y)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(*.f64 (neg.f64 y) y)
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(*.f64 y y)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))

rewrite191.0ms (4.1%)

Memory
-40.5MiB live, 156.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02592
03584
115484
2101983
0861583
Stop Event
iter limit
node limit
iter limit
Counts
10 → 222
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
(*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
(*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y)
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(fma.f64 y y #s(literal -2 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 x x))
Outputs
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval85.0ms (1.9%)

Memory
11.2MiB live, 95.7MiB allocated
Compiler

Compiled 11 441 to 810 computations (92.9% saved)

prune62.0ms (1.3%)

Memory
3.6MiB live, 41.7MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3840384
Fresh000
Picked022
Done000
Total3842386
Accuracy
100.0%
Counts
386 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
11.1%
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
Compiler

Compiled 183 to 76 computations (58.5% saved)

regimes23.0ms (0.5%)

Memory
-22.8MiB live, 15.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Outputs
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
Calls

5 calls:

14.0ms
x
2.0ms
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
2.0ms
(pow.f64 x #s(literal 4 binary64))
2.0ms
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
100.0%1(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
100.0%1(pow.f64 x #s(literal 4 binary64))
Compiler

Compiled 25 to 26 computations (-4% saved)

regimes6.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Accuracy

Total -6.2b remaining (-10.8%)

Threshold costs -6.2b (-10.8%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
Calls

5 calls:

1.0ms
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
1.0ms
(pow.f64 x #s(literal 4 binary64))
1.0ms
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
11.1%1x
11.1%1y
11.1%1(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
11.1%1(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
11.1%1(pow.f64 x #s(literal 4 binary64))
Compiler

Compiled 25 to 26 computations (-4% saved)

simplify43.0ms (0.9%)

Memory
14.2MiB live, 50.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02545
13545
23945
34245
44345
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
Outputs
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

soundness852.0ms (18.5%)

Memory
-21.7MiB live, 425.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042688
197673
2197673
3398673
41027667
53486667
67302667
08100651
0612020
11571948
23761948
311281948
430771916
559391884
081181811
031137
049133
1200133
21454128
09083124
01240
01940
16440
247140
3682540
0807739
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 113 to 72 computations (36.3% saved)

preprocess33.0ms (0.7%)

Memory
32.3MiB live, 71.3MiB allocated
Compiler

Compiled 120 to 78 computations (35% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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