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

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample691.0ms (11.4%)

Memory
16.9MiB live, 791.9MiB allocated
Samples
409.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-mult: 158.0ms (71.5% of total)
ival-sub: 48.0ms (21.7% of total)
ival-true: 6.0ms (2.7% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 4.0ms (1.8% of total)
Bogosity

explain84.0ms (1.4%)

Memory
9.3MiB live, 96.7MiB 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
43.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 26.0ms (87.6% of total)
ival-sub: 2.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess36.0ms (0.6%)

Memory
9.7MiB live, 45.6MiB 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)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

simplify35.0ms (0.6%)

Memory
-24.2MiB live, 11.7MiB 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

localize16.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy0
(*.f64 x y)
accuracy0.0703125
(*.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: 3.0ms (59.7% of total)
ival-sub: 1.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
-27.5MiB live, 10.0MiB 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))

simplify109.0ms (1.8%)

Memory
30.3MiB live, 181.4MiB 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)

rewrite311.0ms (5.1%)

Memory
-59.7MiB live, 347.3MiB 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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eval112.0ms (1.8%)

Memory
34.2MiB live, 145.0MiB allocated
Compiler

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

prune336.0ms (5.5%)

Memory
3.9MiB live, 45.8MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6759684
Fresh000
Picked101
Done000
Total6769685
Accuracy
100.0%
Counts
685 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
77.1%
(/.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)))
62.6%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
77.1%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
61.2%
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
78.9%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
53.5%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
48.5%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
47.5%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 228 to 156 computations (31.6% saved)

simplify133.0ms (2.2%)

Memory
-13.8MiB live, 145.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))
cost-diff320
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
cost-diff7552
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
cost-diff0
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
cost-diff0
(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
028194
048187
198186
2225183
3736183
41618183
53380183
65208183
77143183
87757183
08050183
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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))
(*.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)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
#s(literal -1 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
(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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x)
(-.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)
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))

localize441.0ms (7.2%)

Memory
6.6MiB live, 121.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.22236254884221007
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.6428465290417444
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy0.951002094312198
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)
accuracy21.434187034959375
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
accuracy0
(*.f64 y x)
accuracy0.23046875
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy1.1902679766075042
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
accuracy12.667207297212288
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.0703125
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
accuracy30.132171309967767
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy0.0703125
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy33.22949688086644
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.0625
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Samples
404.0ms256×0valid
Compiler

Compiled 366 to 55 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 387.0ms
ival-mult: 331.0ms (85.5% of total)
ival-add: 40.0ms (10.3% of total)
ival-pow: 4.0ms (1% of total)
ival-div: 3.0ms (0.8% of total)
ival-sub: 3.0ms (0.8% of total)
ival-pow2: 3.0ms (0.8% of total)
ival-neg: 2.0ms (0.5% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (1.5%)

Memory
-19.1MiB live, 112.3MiB allocated
Counts
18 → 420
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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) #<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 (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 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>) () ())
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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt 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>) () ())) ())
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#s(alt (* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (patch (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 4) (pow y 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 (* (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>) () ())) ())
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#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>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
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#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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
51.0ms
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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3))
7.0ms
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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3))
5.0ms
x
@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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3))
5.0ms
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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3))
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)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (neg (* (- 1 (pow (* y x) 3)) x)) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1))) (neg (* (- 1 (pow (* y x) 3)) x)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (* y x) (/ -1 (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 3))

simplify162.0ms (2.7%)

Memory
22.6MiB live, 211.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02233178
17002964
220542951
379742951
081342941
Stop Event
iter limit
node limit
Counts
420 → 406
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)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
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))))
(* -1 x)
(- (* (pow x 4) (pow y 3)) x)
(- (* (pow x 4) (pow y 3)) x)
(- (* (pow x 4) (pow y 3)) x)
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))))
(* x y)
(* x y)
(* x y)
(* x y)
-1
(- (* x y) 1)
(- (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1)
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 3)))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 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))
(* -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 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow x 4) (pow y 3))
(* (pow y 3) (- (* -1 (/ x (pow y 3))) (* -1 (pow x 4))))
(* (pow y 3) (- (* -1 (/ x (pow y 3))) (* -1 (pow x 4))))
(* (pow y 3) (- (* -1 (/ x (pow y 3))) (* -1 (pow x 4))))
(* -1 (* (pow x 4) (pow y 3)))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ -1 (* (pow x 2) (pow y 2)))
(/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) (pow y 2))
(/ (- (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2)))) (pow y 2))
(/ (- (+ (/ 1 (* (pow x 3) y)) (/ 1 (* (pow x 6) (pow y 4)))) (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2)))) (pow y 2))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* -1 (* (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 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* (pow x 4) (pow y 3))
(* -1 (* (pow y 3) (- (/ x (pow y 3)) (pow x 4))))
(* -1 (* (pow y 3) (- (/ x (pow y 3)) (pow x 4))))
(* -1 (* (pow y 3) (- (/ x (pow y 3)) (pow x 4))))
(* -1 (* (pow x 4) (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (pow x 4))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ -1 (* (pow x 2) (pow y 2)))
(/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) (pow y 2))
(/ (- (* -1 (/ (- (/ 1 (* (pow x 5) (pow y 2))) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) (pow y 2))
(/ (- (* -1 (/ (- (/ 1 (* (pow x 5) (pow y 2))) (+ (/ 1 (* (pow x 6) (pow y 3))) (/ 1 (pow x 3)))) y)) (/ 1 (pow x 2))) (pow y 2))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
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(* -1 (* x y))
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(* -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))))
x
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* -1 x)
(* x (- (* (pow x 3) (pow y 3)) 1))
(* x (- (* (pow x 3) (pow y 3)) 1))
(* x (- (* (pow x 3) (pow y 3)) 1))
x
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(* x (+ 1 (* -1 (* (pow x 3) (pow y 3)))))
(* x (+ 1 (* -1 (* (pow x 3) (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))))
(* x y)
(* x y)
(* x y)
(* x y)
-1
(- (* x y) 1)
(- (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 y))) 1)
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (pow y 3)))) (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 y))) 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))
(* -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 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 4) (pow y 3))
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3))))
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3))))
(* (pow x 4) (- (pow y 3) (/ 1 (pow x 3))))
(* -1 (* (pow x 4) (pow y 3)))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ -1 (* (pow x 2) (pow y 2)))
(/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2))
(/ (- (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2)))) (pow x 2))
(/ (- (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6)))) (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2)))) (pow x 2))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* -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 3) (pow y 2)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 4) (pow y 3))
(* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))))
(* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))))
(* -1 (* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3)))))
(* -1 (* (pow x 4) (pow y 3)))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 4) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ -1 (* (pow x 2) (pow y 2)))
(/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 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
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(- (* (pow x 4) (pow y 3)) x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x))
(- (* (pow x 4) (pow y 3)) x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x))
(- (* (pow x 4) (pow y 3)) x)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x))
x
(+ x (* -1 (* (pow x 4) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(+ x (* -1 (* (pow x 4) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(+ x (* -1 (* (pow x 4) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* 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)
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 3)))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))) 1)
(fma.f64 (fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x) y #s(literal -1 binary64))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) (neg.f64 x))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x x)) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (neg.f64 y) (*.f64 y (*.f64 x 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)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* (pow x 4) (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow y 3) (- (* -1 (/ x (pow y 3))) (* -1 (pow x 4))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x))
(* (pow y 3) (- (* -1 (/ x (pow y 3))) (* -1 (pow x 4))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x))
(* (pow y 3) (- (* -1 (/ x (pow y 3))) (* -1 (pow x 4))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) (neg.f64 x))
(* -1 (* (pow x 4) (pow y 3)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(* -1 (* (pow x 3) (pow y 3)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -1 (* (pow x 2) (pow y 2)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
(/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) (pow y 2))
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(* -1 (* (pow x 2) y))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
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(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ (- (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6)))) (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2)))) (pow x 2))
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(* -1 (* (pow x 2) y))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
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(* -1 (* x y))
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(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y)
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(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
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(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
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(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* (pow x 4) (pow y 3))
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rewrite265.0ms (4.4%)

Memory
27.6MiB live, 290.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028153
048131
1192131
21243130
08925130
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 247
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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))
(*.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)))
(*.f64 y x)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
Outputs
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eval304.0ms (5%)

Memory
1.5MiB live, 462.3MiB allocated
Compiler

Compiled 41 913 to 2 692 computations (93.6% saved)

prune89.0ms (1.5%)

Memory
17.5MiB live, 176.6MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1 79461 800
Fresh314
Picked235
Done000
Total1 799101 809
Accuracy
100.0%
Counts
1 809 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
77.1%
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
99.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
62.6%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
77.1%
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
36.6%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
53.5%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
48.5%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
47.5%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 194 to 140 computations (27.8% saved)

simplify143.0ms (2.4%)

Memory
-21.6MiB live, 152.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(fma.f64 x y #s(literal -1 binary64))
cost-diff0
(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
cost-diff0
(*.f64 x (*.f64 (neg.f64 y) y))
cost-diff0
#s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
cost-diff1024
(/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)
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 (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
cost-diff960
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036197
058200
1116190
2226174
3468173
41570173
53846173
66572173
08253173
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
(neg.f64 y)
y
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
x
#s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
(/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)
(*.f64 x (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
#s(literal -1 binary64)
(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
x
(fma.f64 x y #s(literal -1 binary64))
y
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x)
(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)
(fma.f64 y x #s(literal 1 binary64))
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(neg.f64 y)
y
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) y) x))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (*.f64 (neg.f64 x) y) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x)
x
#s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)
(*.f64 (neg.f64 x) y)
(*.f64 x (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
#s(literal -1 binary64)
(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
x
(fma.f64 x y #s(literal -1 binary64))
(fma.f64 y x #s(literal -1 binary64))
y
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y 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 x) y)
x
(neg.f64 y)
y
(*.f64 x y)
(*.f64 y x)
#s(literal 1 binary64)
(fma.f64 y x #s(literal 1 binary64))

localize111.0ms (1.8%)

Memory
-17.8MiB live, 214.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy0.09375
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64))
accuracy1.1902679766075042
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x)
accuracy12.667207297212288
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0
(fma.f64 x y #s(literal -1 binary64))
accuracy0.0703125
(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
accuracy0.1441968169224822
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
accuracy0.16796875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
accuracy0.0703125
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
accuracy9.16617803016937
(*.f64 x (*.f64 (neg.f64 y) y))
accuracy17.16747948765265
(/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)
accuracy30.132171309967767
#s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
accuracy0
(*.f64 (neg.f64 x) x)
accuracy0
(neg.f64 x)
accuracy9.610538766057129
(*.f64 (*.f64 (neg.f64 x) x) y)
accuracy29.683259302599858
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
accuracy0
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
accuracy0
(neg.f64 y)
accuracy0.078125
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
accuracy0.16345894551150147
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
Samples
82.0ms256×0valid
Compiler

Compiled 360 to 61 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 31.0ms (49.7% of total)
ival-div: 17.0ms (27.3% of total)
ival-add: 5.0ms (8% of total)
ival-neg: 4.0ms (6.4% of total)
ival-pow2: 3.0ms (4.8% of total)
ival-sub: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory
6.6MiB live, 78.9MiB allocated
Counts
20 → 444
Calls
Call 1
Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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 (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (neg.f64 y) y)) (patch (*.f64 x (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<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 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<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 #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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 (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) (patch (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- y (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x y #s(literal -1 binary64)) (patch (fma.f64 x y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) #<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 (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
6.0ms
x
@inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1))
4.0ms
x
@-inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1))
3.0ms
y
@inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1))
3.0ms
x
@0
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1))
3.0ms
y
@-inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (/ (* x (* (neg y) y)) y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (* (neg y) y)) (/ 1 (/ -1 (* x (+ (* x y) -1)))) (/ -1 (* x (+ (* x y) -1))) (* x (+ (* x y) -1)) (+ (* x y) -1) (/ (* (+ (* (* x (neg y)) (* x y)) 1) x) (+ (* y x) 1)) (* (+ (* (* x (neg y)) (* x y)) 1) x) (* x (neg y)) (+ (* (* x (neg y)) (* x y)) 1))

simplify130.0ms (2.1%)

Memory
54.9MiB live, 229.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02063154
15922950
214832927
351012926
085132867
Stop Event
iter limit
node limit
Counts
444 → 432
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 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -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 (* (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 (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
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 (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(* -1 x)
(+ (* -1 x) (* (pow x 2) y))
(+ (* -1 x) (* (pow x 2) y))
(+ (* -1 x) (* (pow x 2) y))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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))))
(* -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 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 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) 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))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (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))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(* (pow x 2) y)
(* y (+ (* -1 (/ x y)) (pow x 2)))
(* y (+ (* -1 (/ x y)) (pow x 2)))
(* y (+ (* -1 (/ x y)) (pow x 2)))
(* x y)
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* y (- 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 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* -1 (* x y))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 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))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (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 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y))
(* (pow x 2) y)
(* -1 (* y (+ (* -1 (pow x 2)) (/ x y))))
(* -1 (* y (+ (* -1 (pow x 2)) (/ x y))))
(* -1 (* y (+ (* -1 (pow x 2)) (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* 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 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 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) 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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(/ 1 x)
(/ (+ 1 (* x y)) x)
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)
(* -1 x)
(* x (- (* x y) 1))
(* x (- (* x y) 1))
(* x (- (* x y) 1))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
x
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
1
(+ 1 (* -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 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) 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) 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 x)
(* -1 x)
(* -1 x)
(* -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 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) (pow x 2))
(* (pow x 2) y)
(* (pow x 2) (- y (/ 1 x)))
(* (pow x 2) (- y (/ 1 x)))
(* (pow x 2) (- y (/ 1 x)))
(* x y)
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* 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 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (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 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -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) 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 x)
(* -1 x)
(* -1 x)
(* -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 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))
(* (pow x 2) y)
(* (pow x 2) (- y (/ 1 x)))
(* (pow x 2) (- y (/ 1 x)))
(* (pow x 2) (- y (/ 1 x)))
(* x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* 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 3) (pow y 2)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -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)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x 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 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* y (+ 1 (* x y))) (/ 1 x))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* (pow x 2) y))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(+ (* -1 x) (* (pow x 2) y))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(+ (* -1 x) (* (pow x 2) y))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) 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)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal -1 binary64) y)) x) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 4 binary64)))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -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 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x 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 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 4 binary64)))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y)
(* (pow x 2) y)
(*.f64 y (*.f64 x x))
(* y (+ (* -1 (/ x y)) (pow x 2)))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(* y (+ (* -1 (/ x y)) (pow x 2)))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(* y (+ (* -1 (/ x y)) (pow x 2)))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(* x y)
(*.f64 y x)
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 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)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) 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))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal -1 binary64) y)) x) x)) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 4 binary64)))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (- x (/ 1 y))))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* y (- x (/ 1 y))))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* y (- x (/ 1 y))))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
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(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
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(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 #s(literal -1 binary64) y))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
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(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x 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))
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(* -1 (* (pow x 2) y))
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(* -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)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
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(*.f64 (neg.f64 x) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
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(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
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rewrite226.0ms (3.7%)

Memory
6.6MiB live, 441.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036168
058164
1239146
21485121
09578121
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 995
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
(neg.f64 y)
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
#s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y))
(*.f64 x (*.f64 (neg.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
(fma.f64 x y #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x)
(*.f64 x (neg.f64 y))
(fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64))
Outputs
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eval501.0ms (8.3%)

Memory
-0.8MiB live, 717.4MiB allocated
Compiler

Compiled 48 678 to 5 147 computations (89.4% saved)

prune66.0ms (1.1%)

Memory
-18.3MiB live, 169.5MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New2 49272 499
Fresh202
Picked325
Done033
Total2 497122 509
Accuracy
100.0%
Counts
2 509 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
99.7%
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
99.9%
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
53.5%
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
47.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* x (+ (* x y) -1))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
36.6%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
53.5%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
53.5%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
48.5%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
19.2%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))))
44.7%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x))
47.5%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 170 to 138 computations (18.8% saved)

simplify120.0ms (2%)

Memory
5.0MiB live, 160.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff0
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(fma.f64 y x #s(literal -1 binary64))
cost-diff960
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x))
cost-diff6848
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
cost-diff960
(/.f64 x (/.f64 #s(literal -1 binary64) y))
cost-diff0
(fma.f64 y x #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
cost-diff960
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035170
051168
191168
2184158
3410153
41208153
53604151
67083151
08330150
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
x
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 y x #s(literal -1 binary64))
y
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
x
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x))
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)
(*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x))
(*.f64 y x)
y
x
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 y x #s(literal -1 binary64))
y
x
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
x
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
y
Outputs
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
x
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 y x #s(literal -1 binary64))
y
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x)
x
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 y) x)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 y) x) x))
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)
(*.f64 (*.f64 (neg.f64 y) x) x)
(*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y))
(*.f64 y x)
y
x
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(fma.f64 y x #s(literal -1 binary64))
y
x
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
x
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
y

localize88.0ms (1.4%)

Memory
-23.5MiB live, 166.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.078125
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
accuracy0.21484375
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy30.357384308152753
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
accuracy0
(fma.f64 y x #s(literal -1 binary64))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.18359375
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
accuracy0
(neg.f64 x)
accuracy1.6079056705469397
(*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x))
accuracy11.54978759409471
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)
accuracy29.683259302599858
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.0703125
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
accuracy0.21875
(/.f64 x (/.f64 #s(literal -1 binary64) y))
accuracy30.132171309967767
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
accuracy0
(fma.f64 y x #s(literal -1 binary64))
accuracy0.078125
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy0.16345894551150147
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
Samples
65.0ms256×0valid
Compiler

Compiled 271 to 53 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 17.0ms (37.1% of total)
ival-mult: 17.0ms (37.1% of total)
ival-add: 4.0ms (8.7% of total)
ival-pow2: 3.0ms (6.5% of total)
ival-sub: 2.0ms (4.4% of total)
ival-neg: 2.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory
3.0MiB live, 77.4MiB allocated
Counts
18 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x) (patch (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) (patch (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@0
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x))
3.0ms
x
@inf
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x))
3.0ms
y
@0
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x))
3.0ms
y
@inf
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x))
3.0ms
x
@-inf
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (* (* y x) (* (neg x) x)) x) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* y x) (* (neg x) x) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* (* y x) (* (neg x) x)) (neg x))

simplify150.0ms (2.5%)

Memory
24.5MiB live, 269.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01392532
13842396
28992372
337162372
086852330
Stop Event
iter limit
node limit
Counts
384 → 374
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 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 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)))
(* 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)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) 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 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(* x y)
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* -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))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 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)))
(* 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) 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 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -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))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 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))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* 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 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* -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)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x y)
(* x y)
(* x y)
(* x 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 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(* x y)
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x (- 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))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) 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)))
(* x y)
(* x y)
(* x y)
(* x 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 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -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) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x y)
(* x y)
(* x y)
(* x 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 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -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)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x 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)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64))
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (pow x 3) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (pow x 3) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (pow x 3) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* x y)
(*.f64 y x)
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -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)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x 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)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (pow x 3) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (pow x 3) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (pow x 3) y))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
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(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
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(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
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(*.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))))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
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(fma.f64 (*.f64 (neg.f64 x) y) x x)
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(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
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(*.f64 (neg.f64 y) (*.f64 x x))
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(fma.f64 (*.f64 (neg.f64 x) y) x x)
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(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
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(fma.f64 (*.f64 (neg.f64 x) y) x x)
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(fma.f64 (*.f64 (neg.f64 x) y) x x)
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(fma.f64 (*.f64 (neg.f64 x) y) x x)
(/ -1 (* x y))
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rewrite204.0ms (3.4%)

Memory
10.4MiB live, 229.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035149
051147
1218132
21362122
09304117
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 146
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
(fma.f64 y x #s(literal -1 binary64))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x)
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x))
(*.f64 y x)
(*.f64 (neg.f64 x) x)
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x))
(neg.f64 x)
Outputs
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eval308.0ms (5.1%)

Memory
-22.4MiB live, 427.2MiB allocated
Compiler

Compiled 28 764 to 2 777 computations (90.3% saved)

prune57.0ms (0.9%)

Memory
22.2MiB live, 186.5MiB allocated
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New1 72741 731
Fresh112
Picked235
Done145
Total1 731121 743
Accuracy
100.0%
Counts
1 743 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
53.5%
(/.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) (/.f64 #s(literal -1 binary64) x))
53.5%
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
53.5%
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
47.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* x (+ (* x y) -1))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
53.5%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
53.5%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
53.5%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
48.5%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
44.7%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x))
47.5%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 x (/.f64 #s(literal -1 binary64) x))))
47.5%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 391 to 185 computations (52.7% saved)

regimes30.0ms (0.5%)

Memory
-17.9MiB live, 60.2MiB allocated
Counts
27 → 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 (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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 (neg.f64 y) x) x x)
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
(/.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) x))
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 x (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (* x (+ (* x y) -1))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) (*.f64 x y) #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64))))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (/.f64 (*.f64 (*.f64 y x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #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 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Calls

3 calls:

12.0ms
x
9.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
8.0ms
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 (0.1%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
5 → 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 (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

3 calls:

2.0ms
y
2.0ms
x
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)

regimes9.0ms (0.1%)

Memory
-17.2MiB live, 20.6MiB 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 (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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:

4.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
75.0%3x
77.4%3y
82.7%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
6.7MiB live, 6.6MiB 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 (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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
80.2%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
12.8MiB live, 12.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
1.0ms
y
Results
AccuracySegmentsBranch
48.5%1x
48.5%1y
48.5%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3513643758697694e+118
5.418281117798678e+118
0.0ms
-1.7927013163939104e+80
-7.411839205065694e+73
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3513643758697694e+118
5.418281117798678e+118
0.0ms
-1.7927013163939104e+80
-7.411839205065694e+73
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify26.0ms (0.4%)

Memory
-10.8MiB live, 65.0MiB 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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 -100000000000000000026609864708367276537402401181200809098131977453489758916313088 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 19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 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)

soundness508.0ms (8.4%)

Memory
6.9MiB live, 280.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 129 to 56 computations (56.6% saved)

preprocess71.0ms (1.2%)

Memory
-21.4MiB live, 182.0MiB 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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