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

Time bar (total: 5.4s)

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)

sample881.0ms (16.4%)

Memory
-159.8MiB live, 1 070.0MiB allocated
Samples
532.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 225.0ms
ival-mult: 147.0ms (65.3% of total)
ival-sub: 63.0ms (28% of total)
ival-true: 6.0ms (2.7% of total)
exact: 5.0ms (2.2% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain147.0ms (2.7%)

Memory
-1.2MiB live, 117.7MiB 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
69.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (64.5% of total)
ival-sub: 3.0ms (27.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess39.0ms (0.7%)

Memory
-9.4MiB live, 60.9MiB 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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)

simplify19.0ms (0.4%)

Memory
7.6MiB live, 38.3MiB 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

localize27.0ms (0.5%)

Memory
-7.0MiB live, 42.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy0
(*.f64 x y)
accuracy0.0625
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Samples
11.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (76.2% of total)
ival-sub: 1.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB 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
y
@0
((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))

simplify105.0ms (2%)

Memory
-14.3MiB live, 180.6MiB 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)

rewrite322.0ms (6%)

Memory
5.5MiB live, 332.4MiB 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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eval128.0ms (2.4%)

Memory
5.7MiB live, 195.6MiB allocated
Compiler

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

prune19.0ms (0.4%)

Memory
29.4MiB live, 67.8MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New67410684
Fresh000
Picked101
Done000
Total67510685
Accuracy
100.0%
Counts
685 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
90.1%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
64.8%
(/.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)))
76.7%
(/.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)))
79.5%
(*.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))))
67.8%
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
72.5%
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))))
49.9%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
52.6%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
45.4%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 232 to 162 computations (30.2% saved)

simplify128.0ms (2.4%)

Memory
-9.1MiB live, 188.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff0
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff0
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
cost-diff7808
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
cost-diff0
(*.f64 y x)
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))) (/.f64 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
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023157
040149
185148
2181141
3799141
43216141
54916141
08809141
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.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 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.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)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
x
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
y
x
(*.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 x (neg.f64 y))) x)
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y)))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
y
(*.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 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 2 binary64)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
x
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 y x)
(*.f64 x y)
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)

localize107.0ms (2%)

Memory
25.6MiB live, 134.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
accuracy0.303730029305326
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy0.5107974824816371
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy22.867136439130515
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
accuracy0
(*.f64 y x)
accuracy0.303730029305326
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy3.8261437858473366
(*.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))))
accuracy8.706340929377513
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.0625
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
accuracy32.4907775087807
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy0.0625
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy30.530568646739276
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.0546875
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Samples
90.0ms256×0valid
Compiler

Compiled 288 to 45 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-neg: 30.0ms (39.8% of total)
ival-div: 23.0ms (30.5% of total)
ival-mult: 13.0ms (17.2% of total)
ival-add: 4.0ms (5.3% of total)
ival-sub: 3.0ms (4% of total)
ival-pow2: 3.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.9%)

Memory
-41.3MiB live, 44.1MiB allocated
Counts
16 → 372
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x 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 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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.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)))) #<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 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 1 (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 x (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 1 (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 x (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#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 (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#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 (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#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 (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#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 x 2) (pow y 2)) (taylor 0 y) (#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 (* (pow x 2) (pow y 2)) (taylor 0 y) (#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 (* (pow x 2) (pow y 2)) (taylor 0 y) (#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 (* (pow x 2) (pow y 2)) (taylor 0 y) (#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 (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))
3.0ms
y
@0
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))
3.0ms
x
@-inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))
3.0ms
x
@inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))
3.0ms
y
@-inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1) (* x (+ (* (neg (pow (* y x) 2)) (/ 1 (* y x))) 1)) (neg (pow (* y x) 2)) (/ x (+ (* y x) 1)) (/ 1 (* y x)))

simplify154.0ms (2.8%)

Memory
50.5MiB live, 274.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01392444
14132262
29642260
332242252
082702245
Stop Event
iter limit
node limit
Counts
372 → 360
Calls
Call 1
Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) 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)))
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)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
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))
(* x y)
(* x y)
(* x y)
(* x 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) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* 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))
(* -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 (* 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 (* (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 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))
(* x y)
(* x y)
(* x y)
(* x y)
(* -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 (* (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 y)
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* 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))
(* -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 (* 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 (* (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 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))
(* x y)
(* x y)
(* x y)
(* x y)
(* -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 (* (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 y)
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) 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))))
(* -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))))
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)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
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))
(* x y)
(* x y)
(* x y)
(* 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 (* (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)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) 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 (* 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 (* 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 (* (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) (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))
(* x y)
(* x y)
(* x y)
(* x y)
(* -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 (* (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 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(/ 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 (* 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 (* 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))
(* 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 (* (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))
(* x y)
(* x y)
(* x y)
(* x y)
(* -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 (* (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 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* 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 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -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)))
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 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
(+ 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 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y 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 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) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(fma.f64 (neg.f64 y) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) y (*.f64 x x)) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* 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)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* 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))
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(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (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))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (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))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (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) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (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) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) y)
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) y))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))

rewrite77.0ms (1.4%)

Memory
-8.1MiB live, 138.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023125
040116
1166109
01144109
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
16 → 304
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(*.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 (-.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 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
(fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
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eval162.0ms (3%)

Memory
7.0MiB live, 342.5MiB allocated
Compiler

Compiled 12 861 to 1 183 computations (90.8% saved)

prune37.0ms (0.7%)

Memory
-15.2MiB live, 134.8MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New8755880
Fresh325
Picked235
Done000
Total88010890
Accuracy
100.0%
Counts
890 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
90.1%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
64.8%
(/.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)))
79.5%
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
77.6%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
21.7%
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
67.8%
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
49.9%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
52.6%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
45.4%
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 214 to 144 computations (32.7% saved)

simplify187.0ms (3.5%)

Memory
24.9MiB live, 224.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff7552
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) y)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x))
cost-diff7552
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
cost-diff0
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
(*.f64 (*.f64 (neg.f64 x) x) y)
cost-diff0
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 x (neg.f64 x))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 x)) y x)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032213
053189
1116182
2185182
3359182
4973182
51440182
62263182
73420182
85162182
97401182
08058182
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
y
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 y y)
y
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) y) x)
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64))
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(*.f64 x y)
#s(literal 1 binary64)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 (*.f64 (neg.f64 x) x) y x)
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 x) x)
x
(neg.f64 x)
y
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 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)))))
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 y y)
y
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(fma.f64 (*.f64 (neg.f64 x) x) y x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) y) x)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y x) y)
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(fma.f64 (*.f64 (neg.f64 x) x) y x)
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
(*.f64 x y)
(*.f64 y x)
#s(literal 1 binary64)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))

localize185.0ms (3.4%)

Memory
-34.2MiB live, 141.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy0.12337875976844201
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64))
accuracy3.8261437858473366
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy8.706340929377513
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy0.1328125
(*.f64 (*.f64 x y) y)
accuracy3.359976051103904
(*.f64 (*.f64 (*.f64 x y) y) x)
accuracy3.8261437858473366
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy8.706340929377513
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy3.8261437858473366
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy8.706340929377513
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy16.9834958860725
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
accuracy32.441567340706484
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
accuracy0
(*.f64 (neg.f64 x) x)
accuracy0
(neg.f64 x)
accuracy9.407525666413278
(*.f64 (*.f64 (neg.f64 x) x) y)
accuracy31.996572329509213
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
accuracy0
(*.f64 x (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy6.316085885345969
(fma.f64 (*.f64 x (neg.f64 x)) y x)
Samples
111.0ms256×0valid
Compiler

Compiled 393 to 56 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 55.0ms (58.3% of total)
ival-sub: 26.0ms (27.6% of total)
ival-add: 5.0ms (5.3% of total)
ival-pow2: 3.0ms (3.2% of total)
ival-div: 2.0ms (2.1% of total)
ival-neg: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.6%)

Memory
22.3MiB live, 59.4MiB allocated
Counts
19 → 408
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (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 (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* (pow x 3) y) (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 y) (/ 1 (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@0
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1))
2.0ms
x
@inf
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1))
2.0ms
x
@-inf
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1))
2.0ms
y
@inf
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1))
2.0ms
y
@0
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (+ (* (* (neg y) x) x) x) (* (* (neg x) x) y) (* (neg x) x) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (+ (* (* x (neg y)) (* x y)) 1) (/ x (+ (* y x) 1))) (* x (neg y)) (neg y) (* (* (neg x) x) (* y y)) (/ x (+ (* y x) 1)) (* (* (* x y) y) x) (+ (* (* x (neg y)) (* x y)) 1))

simplify169.0ms (3.1%)

Memory
-22.1MiB live, 205.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01302754
13892590
29112588
325822580
468852580
082072573
Stop Event
iter limit
node limit
Counts
408 → 396
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)))
(* -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)))
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 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) 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) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (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
(+ 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))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ 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 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) 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 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)))
(* -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 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)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (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 y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -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 y)
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(* (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 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 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 (* (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 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) 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 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)))
(* -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 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)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
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(* 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))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -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 y)
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
(* (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 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (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 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
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))))
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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x 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)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))
(* (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 (* (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))
(* (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))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 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 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (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 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)))
(* -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) (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)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (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 (* x y))
(* -1 (* x y))
(* -1 (* x 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 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(* (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 (* (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))))
(* -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))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 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 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (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 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)))
(* -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) (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)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (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 (* x y))
(* -1 (* x y))
(* -1 (* x 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 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(* (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 (* (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))))
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)))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.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)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) 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
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y 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 (* (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 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 y x #s(literal -1 binary64))) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) y x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* -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 (* (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 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x 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 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* -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 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y 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)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 (* x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y)) y) #s(literal -1 binary64)) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y)) y))) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* -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 (* (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 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x 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 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* -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 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y 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)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y)) y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y)) y))) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* -1 (* x y))))
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x
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1
#s(literal 1 binary64)
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(/ 1 y)
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(- (/ 1 y) (/ 1 (* x (pow y 2))))
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(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
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(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
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(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
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(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
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(-.f64 x (*.f64 y (*.f64 x x)))
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(*.f64 (neg.f64 x) x)
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(-.f64 x (*.f64 y (*.f64 x x)))
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(*.f64 (neg.f64 x) x)
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(*.f64 (neg.f64 x) x)
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(*.f64 (neg.f64 y) (*.f64 x x))
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(-.f64 x (*.f64 y (*.f64 x x)))
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(-.f64 x (*.f64 y (*.f64 x x)))
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(-.f64 x (*.f64 y (*.f64 x x)))
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(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
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(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
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(-.f64 x (*.f64 y (*.f64 x x)))
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(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
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(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
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(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
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(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
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(*.f64 (*.f64 y y) x)
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(*.f64 (neg.f64 y) x)
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(*.f64 (neg.f64 y) x)
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(* -1 (* x y))
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(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
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(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(/ 1 y)
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(- (/ 1 y) (/ 1 (* x (pow y 2))))
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(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
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rewrite192.0ms (3.6%)

Memory
16.2MiB live, 293.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032162
053152
1201145
21181137
09209137
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 090
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
(neg.f64 x)
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 x (neg.f64 y))
(neg.f64 y)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x y) y) x)
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64))
Outputs
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval274.0ms (5.1%)

Memory
56.0MiB live, 499.0MiB allocated
Compiler

Compiled 38 658 to 2 230 computations (94.2% saved)

prune52.0ms (1%)

Memory
-5.7MiB live, 197.5MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 73331 736
Fresh022
Picked325
Done033
Total1 736101 746
Accuracy
100.0%
Counts
1 746 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
90.1%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
64.8%
(/.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)))
41.3%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
29.8%
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
35.7%
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
67.8%
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
49.9%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
52.6%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
45.4%
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 192 to 135 computations (29.7% saved)

simplify117.0ms (2.2%)

Memory
-32.1MiB live, 153.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
cost-diff0
(/.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)))
cost-diff0
(*.f64 (neg.f64 y) x)
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)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) y)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
cost-diff0
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
cost-diff7808
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042328
074322
1159290
2353288
31708288
44479288
57164288
08245288
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y))
(*.f64 x (neg.f64 y))
(neg.f64 y)
y
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 y y)
y
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) y) x)
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
#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
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
Outputs
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
x
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(*.f64 x y)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(*.f64 y y)
y
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) y) x)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 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)))))
#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 y x) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
(neg.f64 (pow.f64 (*.f64 y x) #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
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#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 (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))

localize182.0ms (3.4%)

Memory
-5.0MiB live, 264.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
accuracy0.11947250976844201
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
accuracy0.24484257814753613
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy21.059307919246145
(/.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)))
accuracy3.3601036899664622
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
accuracy3.8261437858473366
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy8.706340929377513
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy32.441567340706484
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y))
accuracy0.1328125
(*.f64 (*.f64 x y) y)
accuracy3.359976051103904
(*.f64 (*.f64 (*.f64 x y) y) x)
accuracy3.8261437858473366
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
accuracy32.565084413251476
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
accuracy3.8261437858473366
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
accuracy16.9834958860725
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
accuracy32.441567340706484
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
accuracy32.565084413251476
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
accuracy0.0625
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
accuracy0.299823779305326
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y))
accuracy0.5107974824816371
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy22.867136439130515
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
Samples
135.0ms256×0valid
Compiler

Compiled 568 to 74 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 87.0ms (77.2% of total)
ival-div: 7.0ms (6.2% of total)
ival-pow: 5.0ms (4.4% of total)
ival-add: 4.0ms (3.5% of total)
ival-sub: 4.0ms (3.5% of total)
ival-pow2: 3.0ms (2.7% of total)
ival-neg: 2.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.9%)

Memory
14.7MiB live, 95.7MiB allocated
Counts
28 → 636
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<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 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (patch (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<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 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (patch (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (patch (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (patch (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (patch (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 y) (/ 1 (* x (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) (patch (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x y) y) x) (patch (*.f64 (*.f64 (*.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 y) (/ 1 (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<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 (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ y x) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #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 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #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 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1))
5.0ms
x
@-inf
((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1))
4.0ms
x
@inf
((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1))
4.0ms
y
@-inf
((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1))
4.0ms
y
@inf
((+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1) (* x (+ (* (* (* x (neg y)) (* x y)) (/ 1 (* y x))) 1)) (* x (neg y)) (neg y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (neg x) x) (neg x) (* (- 1 (* (* (* x y) y) x)) (/ x (+ (* y x) 1))) (- 1 (* (* (* x y) y) x)) (* (* x y) y) (* x y) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg y) x) x) (* (neg y) x) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (/ 1 (* y x)) (* (* x (neg y)) (* x y)) (/ x (+ (* y x) 1)) (* (* (neg x) x) (* y y)) (* (* (* x y) y) x) (/ x (+ (* y x) 1)) (* (* (* (neg y) x) x) y) (+ (* (+ (* y x) 1) (* y x)) 1))

simplify155.0ms (2.9%)

Memory
-39.0MiB live, 195.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02134596
16914368
218174350
356024346
082904302
Stop Event
iter limit
node limit
Counts
636 → 620
Calls
Call 1
Inputs
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 (* 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)))
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 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
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))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
x
(+ x (* -1 (* (pow x 4) (pow y 3))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (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 3) (pow y 3))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x 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)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 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) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 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
(+ 1 (* x y))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ 1 (* y (+ x (* (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) 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 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 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)))
(* -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 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)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (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 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)))
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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))
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(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* x y))
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(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
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(* -1 y)
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(* -1 y)
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(* -1 y)
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(* -1 y)
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(*.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 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
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(*.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)
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(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* (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 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) y)
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
(* (pow x 2) (+ (/ y x) (pow y 2)))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x)
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64))

rewrite218.0ms (4%)

Memory
-1.5MiB live, 275.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042274
074263
1264222
21509213
09043212
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 621
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (neg.f64 y))
(neg.f64 y)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y))
(*.f64 (*.f64 (neg.f64 y) x) x)
(*.f64 (neg.f64 y) x)
(/.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y))
#s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(*.f64 (*.f64 (*.f64 x y) y) x)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
Outputs
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eval384.0ms (7.1%)

Memory
39.4MiB live, 713.8MiB allocated
Compiler

Compiled 48 649 to 5 310 computations (89.1% saved)

prune58.0ms (1.1%)

Memory
5.5MiB live, 203.8MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2 39622 398
Fresh000
Picked235
Done055
Total2 398102 408
Accuracy
100.0%
Counts
2 408 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
90.1%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
44.0%
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
38.4%
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
29.8%
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
35.7%
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
67.8%
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
49.9%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
52.6%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
45.4%
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 376 to 161 computations (57.2% saved)

regimes36.0ms (0.7%)

Memory
-21.4MiB live, 42.8MiB allocated
Counts
21 → 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)))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) (/.f64 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)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (*.f64 y x)))) #s(approx (/ x (+ (* y x) 1)) (/.f64 #s(literal 1 binary64) y)))
(*.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 x (fma.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.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 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))))
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Calls

3 calls:

23.0ms
y
6.0ms
x
6.0ms
(*.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)

regimes8.0ms (0.2%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
6 → 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)))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

3 calls:

3.0ms
x
3.0ms
y
2.0ms
(*.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)

regimes36.0ms (0.7%)

Memory
-27.2MiB live, 9.8MiB allocated
Counts
4 → 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)))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.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:

32.0ms
x
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
76.0%3x
76.9%3y
84.7%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
2.6MiB live, 2.6MiB 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)))
#s(approx (+ (* (* (neg y) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) y))
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
82.1%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
15.1MiB live, 15.1MiB 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
y
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
52.6%1x
52.6%1y
52.6%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
1.575336727756495e+176
2.6502803692012514e+181
0.0ms
-1.97970181611556e+172
-1.0866166378494042e+172
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.575336727756495e+176
2.6502803692012514e+181
0.0ms
-1.97970181611556e+172
-1.0866166378494042e+172
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify57.0ms (1.1%)

Memory
2.7MiB live, 71.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027133
148133
262133
375133
480133
581133
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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 -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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 x y)) x) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 binary64)) (*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 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 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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 x y)) x) #s(literal -14999999999999999524108027823934606769179215677380048687130976427422654742851170297673301646769247814435878798421259788199317252381385149768716365840998872200111261740957696 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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)

soundness521.0ms (9.7%)

Memory
17.5MiB live, 372.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13115
219015
3149715
0960213
034368
1108332
2189332
3514332
42408332
55858332
08081332
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 129 to 56 computations (56.6% saved)

preprocess61.0ms (1.1%)

Memory
6.9MiB live, 83.3MiB allocated
Compiler

Compiled 202 to 62 computations (69.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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