Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

Time bar (total: 7.4s)

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%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.4s (19.1%)

Memory
32.7MiB live, 850.0MiB allocated
Samples
990.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 835.0ms
ival-mult: 453.0ms (54.3% of total)
ival-sub: 367.0ms (44% of total)
ival-true: 6.0ms (0.7% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain101.0ms (1.4%)

Memory
2.3MiB live, 156.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x y))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (73.6% of total)
ival-sub: 3.0ms (22.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess51.0ms (0.7%)

Memory
-5.0MiB live, 43.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
15937
212135
332335
457035
569235
670935
067
097
1187
2357
3657
41447
51917
62397
73197
83877
94047
104047
04047
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify27.0ms (0.4%)

Memory
-7.5MiB live, 30.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11818
23518
36518
414418
519118
623918
731918
838718
940418
1040418
040418
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
x
(-.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 x y)
y
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 x y)
(*.f64 y x)
y

localize20.0ms (0.3%)

Memory
4.9MiB live, 40.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy0
(*.f64 x y)
accuracy0.0546875
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (76% of total)
ival-sub: 1.0ms (19% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-21.2MiB live, 14.6MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))
1.0ms
x
@0
((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))
1.0ms
y
@-inf
((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))
1.0ms
y
@inf
((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))
1.0ms
x
@inf
((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))

simplify150.0ms (2%)

Memory
35.7MiB live, 196.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034368
1108332
2189332
3514332
42408332
55858332
08081332
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(* x (+ 1 (* -1 (* x y))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* x (+ 1 (* -1 (* x y))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* x (+ 1 (* -1 (* x y))))
(-.f64 x (*.f64 y (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite589.0ms (7.9%)

Memory
-249.7MiB live, 282.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13115
219015
3149715
0960213
Stop Event
iter limit
node limit
iter limit
Counts
3 → 614
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
Outputs
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eval89.0ms (1.2%)

Memory
34.2MiB live, 185.7MiB allocated
Compiler

Compiled 20 840 to 1 642 computations (92.1% saved)

prune55.0ms (0.7%)

Memory
-9.3MiB live, 87.8MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New6759684
Fresh000
Picked011
Done000
Total67510685
Accuracy
100.0%
Counts
685 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
78.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
82.5%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
82.5%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
82.6%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
79.4%
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
53.0%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
50.1%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
48.2%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 249 to 170 computations (31.7% saved)

simplify132.0ms (1.8%)

Memory
1.3MiB live, 150.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y x #s(literal 1 binary64))
cost-diff0
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
cost-diff6976
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
cost-diff0
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
cost-diff0
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))))
cost-diff1792
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033243
056232
1116232
2269202
3790202
42637202
56908202
08264202
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
x
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))))
#s(literal 0 binary64)
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
(fma.f64 y x #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
x
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y x #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (*.f64 x (neg.f64 x)) y)
(*.f64 x (neg.f64 x))
(neg.f64 x)
(/.f64 y (fma.f64 y x #s(literal 1 binary64)))
Outputs
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
x
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
#s(literal 0 binary64)
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
(fma.f64 y x #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
x
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y x #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(*.f64 (*.f64 x (neg.f64 x)) y)
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 y (fma.f64 y x #s(literal 1 binary64)))

localize89.0ms (1.2%)

Memory
-7.8MiB live, 184.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.4869138170332373
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy6.93079171998385
(*.f64 (*.f64 x (neg.f64 x)) y)
accuracy8.208245851939926
(/.f64 y (fma.f64 y x #s(literal 1 binary64)))
accuracy8.898303064720032
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))
accuracy0
(*.f64 y x)
accuracy0.23894501953688405
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy0.5281140547313669
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
accuracy12.185918503242885
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.0546875
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
accuracy30.66674451241591
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy0.0546875
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy32.2310860352048
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))))
accuracy0.0546875
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
accuracy0.14519501953688402
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
accuracy14.241171413593793
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
Samples
65.0ms256×0valid
Compiler

Compiled 252 to 32 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 17.0ms (40.8% of total)
ival-div: 5.0ms (12% of total)
ival-sub: 5.0ms (12% of total)
ival-pow: 5.0ms (12% of total)
ival-add: 4.0ms (9.6% of total)
ival-pow2: 3.0ms (7.2% of total)
ival-neg: 2.0ms (4.8% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series105.0ms (1.4%)

Memory
7.6MiB live, 118.3MiB allocated
Counts
22 → 516
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) (patch (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))) (patch (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (* x y)) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) (patch (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) (patch (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) (patch (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) (patch (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))) (patch (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 (* x y)) 1) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 x)) y) (patch (*.f64 (*.f64 x (neg.f64 x)) y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
35.0ms
x
@inf
((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y))
6.0ms
x
@0
((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y))
6.0ms
y
@-inf
((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y))
5.0ms
y
@0
((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y))
5.0ms
y
@inf
((/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1)) (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (* x (/ (- 0 (* (+ (* y x) -1) (+ (* y x) -1))) (+ (* y x) -1))) (* (+ (* y x) -1) (+ (* y x) -1)) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1)))) (* x (+ (pow (+ (* y x) 1) -1) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (+ (* y x) 1) (* y x) (* (* (* x (neg x)) y) (/ y (+ (* y x) 1))) (/ y (+ (* y x) 1)) (* (* x (neg x)) y))

simplify244.0ms (3.3%)

Memory
22.0MiB live, 265.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03534014
111373715
229473548
089483465
Stop Event
iter limit
node limit
Counts
516 → 502
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
-1
(- (* 2 (* x y)) 1)
(- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1)
(- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -2 (* x y)))
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y))))
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y))))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* y (- (* (pow x 2) y) x)))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y)))
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3)))))
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3)))))
y
(* y (+ 1 (* -1 (* x y))))
(* y (+ 1 (* y (- (* (pow x 2) y) x))))
(* y (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 2 (/ x y)) (pow x 2)))
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ 1 y)) y)) (pow x 2)))
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ 1 y)) y)) (pow x 2)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2)))
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2))))
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2))))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(/ 1 (* x y))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
(* x y)
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* y (+ x (/ 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2)))))
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2)))))
(/ 1 x)
(- (/ 1 x) (/ 1 (* (pow x 2) y)))
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y)))
(- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 2 (/ x y)) (pow x 2)))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) (* 2 x)) y)) (pow x 2)))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) (* 2 x)) y)) (pow x 2)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* x y))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ 1 (* x y))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* x y)
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* -1 (* y (- (* -1 x) (/ 1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y)))))
(/ 1 x)
(- (/ 1 x) (/ 1 (* (pow x 2) y)))
(+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
-1
(- (* 2 (* x y)) 1)
(- (* x (- (* -1 (* x (pow y 2))) (* -2 y))) 1)
(- (* x (- (* -1 (* x (pow y 2))) (* -2 y))) 1)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -2 (* x y)))
(+ 1 (* x (+ (* -2 y) (* x (pow y 2)))))
(+ 1 (* x (+ (* -2 y) (* x (pow y 2)))))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
x
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* x (- (* x (pow y 2)) y)))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
1
(+ 1 (* x y))
(+ 1 (* x y))
(+ 1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3))))
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))
(* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))
y
(+ y (* -1 (* x (pow y 2))))
(+ y (* x (- (* x (pow y 3)) (pow y 2))))
(+ y (* x (- (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))) (pow y 2))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ y x)) (pow y 2)))
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ 1 x)) x)) (pow y 2)))
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ 1 x)) x)) (pow y 2)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2)))
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2))))
(* (pow x 2) (+ (* -2 (/ y x)) (+ (/ 1 (pow x 2)) (pow y 2))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
(* x y)
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* x y)
(* x y)
(* x y)
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(* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))
(/ 1 x)
(/ (- 1 (/ 1 (* x y))) x)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) x)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) x)
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
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(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 2 (/ y x)) (pow y 2)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 y)) x)) (pow y 2)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) (* 2 y)) x)) (pow y 2)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -2 (/ y x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* 2 y) (/ 1 x)) x)) (pow y 2)))
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(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (pow y 2)))
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* x y))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ 1 (* x y))
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* x y)
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(* -1 (* x (- (* -1 y) (/ 1 x))))
(* -1 (* x (- (* -1 y) (/ 1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x)))))
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)))))
(/ 1 x)
(* -1 (/ (- (/ 1 (* x y)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
-1
#s(literal -1 binary64)
(- (* 2 (* x y)) 1)
(fma.f64 #s(literal 2 binary64) (*.f64 y x) #s(literal -1 binary64))
(- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1)
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 y x #s(literal -2 binary64))) y #s(literal -1 binary64))
(- (* y (- (* -1 (* (pow x 2) y)) (* -2 x))) 1)
(fma.f64 (*.f64 (neg.f64 x) (fma.f64 y x #s(literal -2 binary64))) y #s(literal -1 binary64))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (* x y)))
(fma.f64 (*.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y))))
(fma.f64 (*.f64 y (fma.f64 y x #s(literal -2 binary64))) x #s(literal 1 binary64))
(+ 1 (* y (+ (* -2 x) (* (pow x 2) y))))
(fma.f64 (*.f64 y (fma.f64 y x #s(literal -2 binary64))) x #s(literal 1 binary64))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* y (- (* (pow x 2) y) x)))
(fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y) (*.f64 x x)) y (neg.f64 x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x y)
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(* x y)
(*.f64 y x)
(* x y)
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(* x y)
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(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y)))
(*.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 y x #s(literal -1 binary64)))) x) x)
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3)))))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 y) (pow.f64 x #s(literal 3 binary64))) y)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3)))))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) y (neg.f64 (pow.f64 x #s(literal 4 binary64)))) y (pow.f64 x #s(literal 3 binary64))) y)) (*.f64 y y))
y
(* y (+ 1 (* -1 (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(* y (+ 1 (* y (- (* (pow x 2) y) x))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y) (*.f64 x x)) y (neg.f64 x)) y #s(literal 1 binary64)) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* (pow y 2) (- (* 2 (/ x y)) (pow x 2)))
(*.f64 (*.f64 x (-.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ 1 y)) y)) (pow x 2)))
(neg.f64 (fma.f64 (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) y) x)) (*.f64 y y) #s(literal 1 binary64)))
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ 1 y)) y)) (pow x 2)))
(neg.f64 (fma.f64 (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) y) x)) (*.f64 y y) #s(literal 1 binary64)))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
(* (pow y 2) (+ (* -2 (/ x y)) (pow x 2)))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) y) x)) (*.f64 y y))
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2))))
(fma.f64 (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) y) x)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ (* -2 (/ x y)) (+ (/ 1 (pow y 2)) (pow x 2))))
(fma.f64 (*.f64 x (+.f64 (/.f64 #s(literal -2 binary64) y) x)) (*.f64 y y) #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
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(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x)))))
(neg.f64 (fma.f64 y x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64))))
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y)) x) y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 (* x y)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1) x))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x) y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))

rewrite214.0ms (2.9%)

Memory
-1.0MiB live, 311.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033213
056198
1219198
21580177
08649175
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 377
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 y x)
(*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))
(/.f64 y (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 x (neg.f64 x)) y)
Outputs
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eval377.0ms (5.1%)

Memory
29.8MiB live, 797.4MiB allocated
Compiler

Compiled 56 673 to 5 789 computations (89.8% saved)

prune103.0ms (1.4%)

Memory
-12.7MiB live, 163.9MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2 09272 099
Fresh314
Picked325
Done011
Total2 098112 109
Accuracy
100.0%
Counts
2 109 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
78.9%
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
77.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
22.4%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64)))
86.2%
(*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
57.5%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
41.0%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)))
53.0%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
50.1%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
48.2%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 360 to 193 computations (46.4% saved)

simplify284.0ms (3.8%)

Memory
7.4MiB live, 296.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
cost-diff320
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff1088
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
cost-diff2816
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
cost-diff0
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x)
cost-diff0
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) (*.f64 x x))
cost-diff0
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
cost-diff1792
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042403
073405
1178367
2501327
32394309
45741297
08124297
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(neg.f64 x)
x
y
#s(literal 1 binary64)
(/.f64 x (fma.f64 x y #s(literal -1 binary64)))
(fma.f64 x y #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (neg.f64 y) (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 x x)
x
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 x y)
#s(literal 1 binary64)
(fma.f64 y x #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
x
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x y)
y
(fma.f64 x y #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))
(neg.f64 x)
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(fma.f64 y (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
y
#s(literal 1 binary64)
(/.f64 x (fma.f64 x y #s(literal -1 binary64)))
(/.f64 x (fma.f64 y x #s(literal -1 binary64)))
(fma.f64 x y #s(literal -1 binary64))
(fma.f64 y x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
#s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) x) y)
(neg.f64 y)
y
(*.f64 x x)
x
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 x x)
x
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 x y)
(*.f64 y x)
#s(literal 1 binary64)
(fma.f64 y x #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))
x
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
y
(fma.f64 x y #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))

localize183.0ms (2.5%)

Memory
-12.5MiB live, 347.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.14519501953688402
(fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.23246005861065205
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
accuracy6.503852581585352
(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
accuracy25.539768220186186
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy0
(neg.f64 y)
accuracy0.14519501953688402
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64))
accuracy0.5281140547313669
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x)
accuracy12.185918503242885
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0.5281140547313669
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x)
accuracy12.185918503242885
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy15.32750625603043
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
accuracy30.803318682182315
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 y)
accuracy6.93079171998385
(*.f64 (neg.f64 y) (*.f64 x x))
accuracy30.030513944201576
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
accuracy0
(neg.f64 x)
accuracy0.0546875
(*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
accuracy8.23753223791546
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))
accuracy8.242898337789077
(/.f64 x (fma.f64 x y #s(literal -1 binary64)))
Samples
149.0ms256×0valid
Compiler

Compiled 417 to 43 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 98.0ms (76.1% of total)
ival-add: 10.0ms (7.8% of total)
ival-div: 6.0ms (4.7% of total)
ival-sub: 4.0ms (3.1% of total)
ival-pow: 4.0ms (3.1% of total)
ival-pow2: 3.0ms (2.3% of total)
ival-neg: 3.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series153.0ms (2.1%)

Memory
-0.6MiB live, 154.1MiB allocated
Counts
24 → 528
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (patch (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) (patch (*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) (patch (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ y x) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
25.0ms
y
@0
((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1))
23.0ms
x
@0
((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1))
19.0ms
x
@-inf
((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1))
14.0ms
y
@-inf
((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1))
12.0ms
x
@inf
((* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (* (* (+ (* (neg x) y) 1) (/ x (+ (* x y) -1))) (+ (* x y) -1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (neg y) y) (/ (* (+ (* (* (neg y) x) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* (neg y) x) (* x y)) 1) x) (* (neg y) x) (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1))) (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* x (/ (- (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) (* (+ (* (* x y) (+ (* x y) 1)) 1) (pow (* x y) 3))) (* (+ (* (* x y) (+ (* x y) 1)) 1) (+ (* (* x y) (+ (* x y) 1)) 1)))) (/ x (+ (* x y) -1)) (* (* (neg y) y) (* x x)) (+ (* (* (neg y) x) (* x y)) 1) (pow (* x y) 3) (+ (* (* x y) (+ (* x y) 1)) 1))

simplify287.0ms (3.9%)

Memory
2.9MiB live, 357.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04644832
115074345
249084193
084284090
Stop Event
iter limit
node limit
Counts
528 → 514
Calls
Call 1
Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 y)
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(* -1 y)
(* -1 y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
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x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
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(+ x (* -1 (* (pow x 3) (pow y 2))))
(* -1 (* x y))
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(* -1 (* x y))
(* -1 (* x y))
1
(+ 1 (* y (- x (* 2 x))))
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(+ 1 (* y (- (+ x (* y (- (* y (- (* -1 (pow x 3)) (+ (* -2 (* x (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2))))) (+ (* 2 (pow x 3)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- x (* 2 x))))))) (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2)))))) (* 2 x))))
1
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(+ 1 (* y (+ x (* y (+ (* -1 (* (pow x 3) y)) (pow x 2))))))
1
(+ 1 (* x y))
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x
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(+ x (* y (- (+ (* y (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 2)) (* 2 (pow x 2)))))
(+ x (* y (- (+ (* y (- (+ (* y (- (* -1 (pow x 4)) (+ (* 2 (* x (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (* x (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* 2 (pow x 4)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (pow x 2) (* 2 (pow x 2)))))))) (pow x 3)) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 2)) (* 2 (pow x 2)))))
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1
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(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
1
(+ 1 (* x y))
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(* -1 x)
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(* -1 y)
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(* -1 (* (pow y 5) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 (pow x 3))) y)) (pow x 4)) y)) (* -1 (pow x 5)))))
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(* -1 (* y (+ (* -1 (/ (- (+ (* -2 (/ (- (* -1 x) (* -2 x)) (* x y))) (+ (* -1 x) (* 2 (/ 1 y)))) (* -2 x)) y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 3 (/ 1 x)) (+ (* 2 (/ (+ 2 (* -2 (/ (- (* -1 x) (* -2 x)) x))) x)) (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1 x) (* -2 x))) (pow x 4)))) y)) (+ 2 (* -2 (/ (- (* -1 x) (* -2 x)) x)))) y))) (* -2 x)) y)) (pow x 2))))
(/ 1 y)
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(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
x
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
x
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
1
(+ 1 (* x (- y (* 2 y))))
(+ 1 (* x (- (+ y (* -1 (* x (+ (* 2 (* y (- y (* 2 y)))) (* 2 (pow y 2)))))) (* 2 y))))
(+ 1 (* x (- (+ y (* x (- (* x (- (* -1 (pow y 3)) (+ (* -2 (* y (+ (* 2 (* y (- y (* 2 y)))) (* 2 (pow y 2))))) (+ (* 2 (pow y 3)) (* (+ (* 2 (pow y 2)) (pow y 2)) (- y (* 2 y))))))) (+ (* 2 (* y (- y (* 2 y)))) (* 2 (pow y 2)))))) (* 2 y))))
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(+ 1 (* x (+ y (* x (+ (* -1 (* x (pow y 3))) (pow y 2))))))
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(+ 1 (* x (+ y (* x (pow y 2)))))
x
(* x (+ 1 (* x (- y (* 2 y)))))
(* x (+ 1 (* x (- (+ y (* -1 (* x (+ (* 2 (* y (- y (* 2 y)))) (* 2 (pow y 2)))))) (* 2 y)))))
(* x (+ 1 (* x (- (+ y (* x (- (* x (- (* -1 (pow y 3)) (+ (* -2 (* y (+ (* 2 (* y (- y (* 2 y)))) (* 2 (pow y 2))))) (+ (* 2 (pow y 3)) (* (+ (* 2 (pow y 2)) (pow y 2)) (- y (* 2 y))))))) (+ (* 2 (* y (- y (* 2 y)))) (* 2 (pow y 2)))))) (* 2 y)))))
(* -1 x)
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(* x (- (* x (- (* -1 (* x (pow y 2))) y)) 1))
(* x (- (* x (- (* x (- (* -1 (* x (pow y 3))) (pow y 2))) y)) 1))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
1
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
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(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 3))) (* 3 (/ 1 y))) (pow x 2))) (/ 1 x))))
(* x (- (+ (* -1 y) (+ (* 2 (/ (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 3))) (* 3 (/ 1 y))) (* (pow x 3) y))) (/ 1 x))) (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) y))))))
(* -1 (* (pow x 5) (pow y 5)))
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(* (pow x 5) (- (* -1 (/ (pow y 3) (pow x 2))) (+ (/ (pow y 4) x) (pow y 5))))
(* (pow x 5) (- (/ (pow y 2) (pow x 3)) (+ (/ (pow y 3) (pow x 2)) (+ (/ (pow y 4) x) (pow y 5)))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 3))) (* 3 (/ 1 y))) (pow x 2))) (/ 1 x))))
(* (pow x 2) (- (+ (* -1 y) (+ (* 2 (/ (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 3))) (* 3 (/ 1 y))) (* (pow x 3) y))) (/ 1 x))) (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) y))))))
(/ 1 y)
(+ (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3)))))
(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 3) (pow y 4))))))
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(* -1 (* (pow x 2) (pow y 2)))
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(* -1 (* (pow x 2) (pow y 2)))
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(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
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(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
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(* -1 (* x y))
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(* -1 x)
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(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* (pow x 2) y))
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* x y))
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(* -1 (* x y))
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(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 (pow y 3))) x)) (pow y 4)) x)) (* -1 (pow y 5)))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ 1 y)
(+ (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3)))))
(+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
Outputs
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
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(+ 1 (* -1 (* x y)))
(fma.f64 y (neg.f64 x) #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 y (neg.f64 x) #s(literal 1 binary64))
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
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(* -1 (pow y 2))
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(* -1 (pow y 2))
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x
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(-.f64 x (*.f64 y (*.f64 x x)))
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(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* x y))
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(* -1 (* x y))
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1
#s(literal 1 binary64)
(+ 1 (* y (- x (* 2 x))))
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(+ 1 (* y (- (+ x (* y (- (* y (- (* -1 (pow x 3)) (+ (* -2 (* x (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2))))) (+ (* 2 (pow x 3)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- x (* 2 x))))))) (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2)))))) (* 2 x))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1 binary64) x)) #s(literal -2 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x #s(literal -1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) y)) y (neg.f64 x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
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(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64))
(+ 1 (* y (+ x (* y (+ (* -1 (* (pow x 3) y)) (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y (*.f64 x x)) y x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x y))
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(+ 1 (* y (+ x (* (pow x 2) y))))
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64))
x
(+ x (* y (- (pow x 2) (* 2 (pow x 2)))))
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(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 0 binary64) y)) y x)
(+ x (* y (- (+ (* y (- (+ (* y (- (* -1 (pow x 4)) (+ (* 2 (* x (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (* x (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* 2 (pow x 4)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (pow x 2) (* 2 (pow x 2)))))))) (pow x 3)) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (* x (+ (* 2 (pow x 2)) (pow x 2)))))) (pow x 2)) (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 0 binary64) x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) y #s(literal 0 binary64)) y (*.f64 (neg.f64 x) x)) y x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) x)
(+ (* -1 x) (* y (- (* -1 (* (pow x 3) y)) (pow x 2))))
(fma.f64 (neg.f64 (fma.f64 x x (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) y (neg.f64 x))
(+ (* -1 x) (* y (- (* y (- (* -1 (* (pow x 4) y)) (pow x 3))) (pow x 2))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (pow.f64 x #s(literal 3 binary64)))) y (*.f64 (neg.f64 x) x)) y (neg.f64 x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
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(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
1
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(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
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(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 (pow y 3))) x)) (pow y 4)) x)) (* -1 (pow y 5)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) x) (pow.f64 y #s(literal 4 binary64))) x) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))
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(/ 1 y)
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(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
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rewrite244.0ms (3.3%)

Memory
27.9MiB live, 406.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042324
073247
1319197
22309190
08927190
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 846
Calls
Call 1
Inputs
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(neg.f64 x)
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (neg.f64 y) (*.f64 x x))
(neg.f64 y)
(*.f64 x x)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(*.f64 (neg.f64 y) y)
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) x)
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(-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
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(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
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(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
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eval540.0ms (7.3%)

Memory
3.1MiB live, 915.6MiB allocated
Compiler

Compiled 120 765 to 7 266 computations (94% saved)

prune111.0ms (1.5%)

Memory
2.0MiB live, 235.6MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New2 86842 872
Fresh123
Picked415
Done033
Total2 873102 883
Accuracy
100.0%
Counts
2 883 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
24.0%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
31.9%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64)))
56.1%
(*.f64 x (/.f64 (-.f64 #s(approx (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
41.0%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)))
53.0%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
50.1%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
82.1%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y))
48.2%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 289 to 163 computations (43.6% saved)

simplify201.0ms (2.7%)

Memory
27.2MiB live, 220.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (neg.f64 x) x) y)
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x)
cost-diff0
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
cost-diff960
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))
cost-diff0
(*.f64 (*.f64 (neg.f64 y) y) x)
cost-diff0
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x))
cost-diff0
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x)
cost-diff0
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 (neg.f64 y) x) x)
cost-diff0
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y))
cost-diff0
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x)
cost-diff0
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff192
(+.f64 #s(literal 0 binary64) y)
cost-diff1344
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) x (/.f64 x y))
cost-diff0
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y))
cost-diff704
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051416
086417
1182379
2507335
32296333
47505333
08854333
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(fma.f64 (neg.f64 x) x (/.f64 x y))
(neg.f64 x)
x
(/.f64 x y)
y
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)))
x
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(literal 0 binary64)
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) y)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
(*.f64 (*.f64 (neg.f64 y) x) x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x)
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(fma.f64 (neg.f64 x) y #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 x y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
Outputs
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (fma.f64 (neg.f64 x) (*.f64 x y) x))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(fma.f64 (neg.f64 x) (*.f64 x y) x)
(fma.f64 (neg.f64 x) x (/.f64 x y))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) x))
(neg.f64 x)
x
(/.f64 x y)
y
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) y)
#s(literal 0 binary64)
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) y)
y
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 y) x) x)
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) x #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(fma.f64 (neg.f64 x) y #s(literal -1 binary64))
(fma.f64 (neg.f64 y) x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) x)
(fma.f64 x y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))

localize150.0ms (2%)

Memory
-48.0MiB live, 180.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.611338294388634
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
accuracy6.93079171998385
(*.f64 (*.f64 (neg.f64 x) x) y)
accuracy14.726492318227013
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))
accuracy20.028805373458987
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
accuracy2.016514384514189
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
accuracy7.883610017118883
(*.f64 (*.f64 (neg.f64 y) y) x)
accuracy12.185918503242885
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy30.803318682182315
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x))
accuracy0.5281140547313669
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x)
accuracy4.611338294388634
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
accuracy12.185918503242885
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy30.803318682182315
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y))
accuracy0
(*.f64 y y)
accuracy0.0546875
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)))
accuracy29.07777462702527
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
accuracy30.66674451241591
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))
accuracy0
(neg.f64 x)
accuracy0
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y))
accuracy2.507784976055602
(fma.f64 (neg.f64 x) x (/.f64 x y))
accuracy9.640250846899558
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
Samples
119.0ms256×0valid
Compiler

Compiled 346 to 45 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 58.0ms (59.3% of total)
ival-pow2: 19.0ms (19.4% of total)
ival-div: 7.0ms (7.2% of total)
ival-add: 7.0ms (7.2% of total)
ival-sub: 4.0ms (4.1% of total)
ival-neg: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory
23.0MiB live, 23.0MiB allocated
Counts
25 → 540
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) x) x) (patch (*.f64 (*.f64 (neg.f64 y) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) (patch (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* (pow x 2) y))) y) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* (pow x 2) y))) y) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* (pow x 2) y))) y) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 x) x (/.f64 x y)) (patch (fma.f64 (neg.f64 x) x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) (patch (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (pow y 2)) (/ y x)) x)) (pow y 3))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* -1 (pow y 2))) x)) (pow y 3))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y))
4.0ms
x
@-inf
((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y))
4.0ms
y
@inf
((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y))
4.0ms
y
@-inf
((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y))
4.0ms
y
@0
((* (+ (* (neg x) x) (/ x y)) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (+ (* (neg x) x) (/ x y)) (neg x) (* (- 0 (* y y)) (/ 1 (+ 0 y))) (+ 0 y) (- 0 (* y y)) (* x (- 1 (* x y))) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg y) y) x) (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (/ (+ (* (* (* (* (* (neg x) x) y) y) x) (+ (* (neg x) y) -1)) (* (+ (* x y) 1) (neg x))) (* (+ (* x y) 1) (+ (* (neg x) y) -1))) (* (* (* (* (neg x) x) y) y) x) (* (* (neg x) x) y) (- 1 (* x y)) (* y y) (* (* (* (neg y) x) x) y) (* (* (* (neg y) y) x) x) (* (* (* (neg x) x) y) y))

simplify213.0ms (2.9%)

Memory
6.5MiB live, 313.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02614217
18783879
229233794
087663773
Stop Event
iter limit
node limit
Counts
540 → 512
Calls
Call 1
Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(/ x y)
(/ (+ x (* -1 (* (pow x 2) y))) y)
(/ (+ x (* -1 (* (pow x 2) y))) y)
(/ (+ x (* -1 (* (pow x 2) y))) y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
y
y
y
y
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* -1 (* (pow x 2) y)))
(+ (* -1 x) (* y (+ (* -1 (pow x 2)) (* (pow x 3) y))))
(+ (* -1 x) (* y (+ (* -1 (pow x 2)) (* y (+ (* (pow x 4) y) (pow x 3))))))
x
(+ x (* y (- (pow x 2) (* 2 (pow x 2)))))
(+ x (* y (- (+ (* y (- (* -1 (pow x 3)) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (pow x 3)))) (pow x 2)) (* 2 (pow x 2)))))
(+ x (* y (- (+ (* y (- (+ (* -1 (pow x 3)) (* y (- (* -1 (pow x 4)) (+ (* 2 (* x (- (* -1 (pow x 3)) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (pow x 3))))) (* (pow x 2) (- (pow x 2) (* 2 (pow x 2)))))))) (+ (* 2 (* x (- (pow x 2) (* 2 (pow x 2))))) (pow x 3)))) (pow x 2)) (* 2 (pow x 2)))))
(* -1 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 3) (pow y 2)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
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x
(* x (+ 1 (* -1 (* x y))))
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(* x (+ 1 (* -1 (* x y))))
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(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
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(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
1
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(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
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1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
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x
(* x (+ 1 (* x (- y (* 2 y)))))
(* x (+ 1 (* x (- (+ y (* x (- (* -1 (pow y 2)) (+ (* 2 (* y (- y (* 2 y)))) (pow y 2))))) (* 2 y)))))
(* x (+ 1 (* x (- (+ y (* x (- (+ (* -1 (pow y 2)) (* x (- (* -1 (pow y 3)) (+ (* 2 (* y (- (* -1 (pow y 2)) (+ (* 2 (* y (- y (* 2 y)))) (pow y 2))))) (* (pow y 2) (- y (* 2 y))))))) (+ (* 2 (* y (- y (* 2 y)))) (pow y 2))))) (* 2 y)))))
(* -1 (* (pow x 3) (pow y 2)))
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(* -1 (* (pow x 2) y))
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1
(+ 1 (* -1 (* x y)))
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(* -1 (* (pow x 2) (pow y 2)))
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Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (* (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 y (*.f64 x x))) y)
(/ (+ x (* -1 (* (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 y (*.f64 x x))) y)
(/ (+ x (* -1 (* (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 y (*.f64 x x))) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
y
y
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 (pow y 2))
(*.f64 (neg.f64 y) y)
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
1
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(* (pow x 4) (+ (* -1 (/ y (pow x 2))) (+ (/ (pow y 2) x) (pow y 3))))
(*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (* -1 (/ y (pow x 2))) (+ (/ (pow y 2) x) (pow y 3))) (/ 1 (pow x 3))))
(*.f64 (-.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal -1 binary64) x) y) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 2) y))
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(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
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(* -1 (* (pow x 2) y))
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(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* x y))
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(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
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(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
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(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
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(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
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(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
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(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) y))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
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(* (pow x 2) (- (/ 1 (* x y)) 1))
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(* (pow x 2) (- (/ 1 (* x y)) 1))
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(* (pow x 2) (- (/ 1 (* x y)) 1))
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(* -1 x)
(neg.f64 x)
(* -1 x)
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(* -1 x)
(neg.f64 x)
(* -1 x)
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(*.f64 (*.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
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(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
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(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
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(* -1 (* (pow x 2) y))
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(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
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(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
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(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
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(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
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(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
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(* (pow x 4) (+ (* -1 (/ (+ (* -1 (pow y 2)) (/ y x)) x)) (pow y 3)))
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(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))
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(* -1 (* (pow x 2) y))
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(* -1 (* x y))
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(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
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(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
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(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
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(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) y)
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rewrite239.0ms (3.2%)

Memory
-13.5MiB live, 265.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051327
086309
1339266
22454263
08937263
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 074
Calls
Call 1
Inputs
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y))
(fma.f64 (neg.f64 x) x (/.f64 x y))
(neg.f64 x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)))
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y))
(*.f64 (*.f64 (neg.f64 y) x) x)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x)
(*.f64 (*.f64 (neg.f64 x) x) y)
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x))
(*.f64 y y)
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
Outputs
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eval549.0ms (7.4%)

Memory
47.9MiB live, 655.0MiB allocated
Compiler

Compiled 47 136 to 4 617 computations (90.2% saved)

prune55.0ms (0.7%)

Memory
-1.5MiB live, 197.5MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New1 68111 682
Fresh011
Picked145
Done044
Total1 682101 692
Accuracy
100.0%
Counts
1 692 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
24.0%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
31.9%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64)))
56.1%
(*.f64 x (/.f64 (-.f64 #s(approx (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
41.0%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)))
53.0%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
50.1%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
82.1%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y))
48.2%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 543 to 206 computations (62.1% saved)

regimes25.0ms (0.3%)

Memory
-20.0MiB live, 99.5MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) x)))
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
(*.f64 x (/.f64 (-.f64 #s(approx (* 1 (+ (* (* x y) (+ (* x y) 1)) 1)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

3 calls:

9.0ms
x
8.0ms
y
7.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory
26.1MiB live, 26.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
Outputs
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
80.2%3x
75.4%3y
87.6%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory
-30.8MiB live, 9.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Outputs
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Calls

1 calls:

2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
84.3%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
1.0ms
y
Results
AccuracySegmentsBranch
50.1%1y
50.1%1x
50.1%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.160489138503835e+72
5.603344414327188e+73
0.0ms
-1.260690267719766e+39
-9.473032226794846e+38
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.160489138503835e+72
5.603344414327188e+73
0.0ms
-1.260690267719766e+39
-9.473032226794846e+38
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify25.0ms (0.3%)

Memory
-16.0MiB live, 62.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026126
147126
261126
374126
479126
580126
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -999999999999999939709166371603178586112 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 3999999999999999775207243795178284096228896516082202126176495568225828864 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -999999999999999939709166371603178586112 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 3999999999999999775207243795178284096228896516082202126176495568225828864 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -999999999999999939709166371603178586112 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 3999999999999999775207243795178284096228896516082202126176495568225828864 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal -999999999999999939709166371603178586112 binary64)) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal 3999999999999999775207243795178284096228896516082202126176495568225828864 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -999999999999999939709166371603178586112 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 3999999999999999775207243795178284096228896516082202126176495568225828864 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal -999999999999999939709166371603178586112 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x) #s(literal 3999999999999999775207243795178284096228896516082202126176495568225828864 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x)

soundness304.0ms (4.1%)

Memory
-26.9MiB live, 199.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034368
1108332
2189332
3514332
42408332
55858332
08081332
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 108 to 46 computations (57.4% saved)

preprocess30.0ms (0.4%)

Memory
-0.9MiB live, 76.3MiB allocated
Compiler

Compiled 188 to 60 computations (68.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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