From Rump in a 1983 paper

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.9s (38.2%)

Memory
48.4MiB live, 1 390.5MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 931.0ms
ival-pow: 379.0ms (40.7% of total)
ival-mult: 283.0ms (30.4% of total)
ival-==: 129.0ms (13.9% of total)
ival-add: 66.0ms (7.1% of total)
ival-sub: 40.0ms (4.3% of total)
exact: 20.0ms (2.1% of total)
ival-and: 11.0ms (1.2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain194.0ms (3.9%)

Memory
-1.8MiB live, 251.6MiB 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
48.0ms512×0valid
Compiler

Compiled 115 to 40 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-add: 11.0ms (34.4% of total)
ival-mult: 9.0ms (28.1% of total)
ival-pow: 8.0ms (25% of total)
ival-sub: 2.0ms (6.3% of total)
exact: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess72.0ms (1.4%)

Memory
-15.7MiB live, 105.0MiB 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
(+.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)))
(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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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 (0.4%)

Memory
-0.8MiB live, 38.3MiB 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
(+.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)))
(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 #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 #s(literal 9 binary64) (pow.f64 x #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 #s(literal 2 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)

localize30.0ms (0.6%)

Memory
13.6MiB live, 92.2MiB 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
22.0ms256×0valid
Compiler

Compiled 50 to 14 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (33.3% of total)
ival-pow: 4.0ms (33.3% of total)
ival-add: 2.0ms (16.6% of total)
ival-sub: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-1.3MiB live, 41.6MiB allocated
Counts
6 → 96
Calls
Call 1
Inputs
#s(alt (+.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))) (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 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt (+.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))) (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 (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (+.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))) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (+.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))) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (+.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))) (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 (* 9 (pow x 4)) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (+ (* -1 (pow y 4)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (+ (* -1 (pow y 4)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (+ (* -1 (pow y 4)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (* 2 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (+.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))) (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 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (+.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))) (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 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt (+.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))) (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 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt (+.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))) (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 (* -1 (pow y 4)) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor inf y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (* 2 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (+.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))) (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 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt (+.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))) (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 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor -inf y) (#s(alt (+.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))) (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 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor -inf y) (#s(alt (+.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))) (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 (* -1 (pow y 4)) (taylor -inf y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (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 (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor -inf y) (#s(alt (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
5.0ms
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
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
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))
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))

simplify357.0ms (7.1%)

Memory
-13.9MiB live, 181.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042688
197673
2197673
3398673
41027667
53495667
67316667
08112651
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
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(- (* 2 (pow y 2)) (pow y 4))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(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)))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(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)))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(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)))))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(- (* 9 (pow x 4)) (pow y 4))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(- (* 9 (pow x 4)) (pow y 4))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(- (* 9 (pow x 4)) (pow y 4))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))

rewrite189.0ms (3.8%)

Memory
-47.0MiB live, 186.1MiB 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
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eval64.0ms (1.3%)

Memory
14.5MiB live, 105.5MiB allocated
Compiler

Compiled 10 631 to 778 computations (92.7% saved)

prune17.0ms (0.3%)

Memory
15.9MiB live, 53.8MiB 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 48 to 38 computations (20.8% saved)

simplify61.0ms (1.2%)

Memory
-12.7MiB live, 62.6MiB 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 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
#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 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y 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)
(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)))
(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)
(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))))
(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 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(*.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 y y) (fma.f64 (neg.f64 y) y #s(literal 2 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)

localize72.0ms (1.4%)

Memory
7.2MiB live, 128.9MiB 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
54.0ms256×0valid
Compiler

Compiled 169 to 31 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 22.0ms (61.9% of total)
ival-add: 5.0ms (14.1% of total)
ival-pow: 4.0ms (11.3% of total)
ival-sub: 2.0ms (5.6% of total)
ival-neg: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory
5.7MiB live, 43.5MiB allocated
Counts
16 → 240
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) (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 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (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))) (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 (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (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)))) (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 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))) (patch (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) (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 (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) (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 (* 2 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) (patch (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow y 2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow y 2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow y 2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 2 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (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 (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (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 (* 9 (pow x 4)) (taylor 0 y) (#s(alt (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))) (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 (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (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))) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (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))) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (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))) (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 (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)) (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>) () ())) ())
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#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (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>) () ())) ())
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#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
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
@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
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))

simplify97.0ms (1.9%)

Memory
-0.7MiB live, 117.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612020
11571948
23761948
311311948
430811916
559231884
082241811
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
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* -1 (pow y 2))))
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(* y (+ 2 (* -1 (pow y 2))))
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(* y (+ 2 (* -1 (pow y 2))))
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
-2
#s(literal -2 binary64)
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
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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)))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite224.0ms (4.5%)

Memory
-5.5MiB live, 232.3MiB 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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eval173.0ms (3.4%)

Memory
4.2MiB live, 304.5MiB allocated
Compiler

Compiled 27 195 to 1 952 computations (92.8% saved)

prune41.0ms (0.8%)

Memory
2.9MiB live, 118.0MiB 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 25 to 18 computations (28% saved)

simplify67.0ms (1.3%)

Memory
1.2MiB live, 50.3MiB 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
(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)))
(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 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)

localize53.0ms (1.1%)

Memory
-2.1MiB live, 112.6MiB 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
40.0ms256×0valid
Compiler

Compiled 94 to 26 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 15.0ms (53.9% of total)
ival-add: 4.0ms (14.4% of total)
ival-pow: 4.0ms (14.4% of total)
ival-sub: 2.0ms (7.2% of total)
ival-neg: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
10 → 144
Calls
Call 1
Inputs
#s(alt #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)) (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 (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (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))) (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 (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt #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)) (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 (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt #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)) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #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)) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #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)) (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 (* 2 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 y) (#s(alt #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt (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))) (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 (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (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))) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (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))) (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 (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (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))) (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 (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt #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)) (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 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt #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)) (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 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt #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)) (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 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt #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)) (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 (* -1 (pow y 4)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) (patch (*.f64 (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 3)) (taylor inf y) (#s(alt (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) (patch (*.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt #s(approx (- 2 (* y y)) #s(literal 2 binary64)) (patch #s(approx (- 2 (* y y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (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))) (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 (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (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))) (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 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt (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))) (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 (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt (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))) (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 (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4))))) (taylor -inf x) (#s(alt (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))) (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 (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4))))) (taylor -inf x) (#s(alt (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))) (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 (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4))))) (taylor -inf x) (#s(alt (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))) (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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ())
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
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
@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)))

simplify116.0ms (2.3%)

Memory
-4.6MiB live, 150.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0571053
1143990
2344990
31071990
43304990
55848990
08100949
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
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* -1 (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(* y (+ 2 (* -1 (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(* y (+ 2 (* -1 (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(+ 2 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(+ 2 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(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)))))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
-2
#s(literal -2 binary64)
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* -1 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* -1 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(* -1 (* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2))))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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)))))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))
(- (* 2 (pow y 2)) (pow y 4))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(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)))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(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)))))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(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)))))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(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)))))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(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)))))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(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)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(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)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(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)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(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)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(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)))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(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)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(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)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(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)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))

rewrite376.0ms (7.5%)

Memory
-3.4MiB live, 196.8MiB 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
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eval93.0ms (1.8%)

Memory
5.0MiB live, 118.0MiB allocated
Compiler

Compiled 9 361 to 789 computations (91.6% saved)

prune46.0ms (0.9%)

Memory
-13.9MiB live, 34.5MiB 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 113 to 54 computations (52.2% saved)

regimes11.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB 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:

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
x
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
11.6MiB live, 11.6MiB 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
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms
(pow.f64 x #s(literal 4 binary64))
1.0ms
x
1.0ms
y
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)

simplify27.0ms (0.5%)

Memory
-17.8MiB live, 58.6MiB 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 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(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))

soundness627.0ms (12.4%)

Memory
-0.5MiB live, 467.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042688
197673
2197673
3398673
41027667
53495667
67316667
08112651
031137
049133
1200133
21454128
09083124
01240
01940
16440
247140
3682540
0807739
0612020
11571948
23761948
311311948
430811916
559231884
082241811
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 78 to 51 computations (34.6% saved)

preprocess27.0ms (0.5%)

Memory
22.7MiB live, 60.1MiB allocated
Compiler

Compiled 80 to 56 computations (30% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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