Data.Colour.SRGB:invTransferFunction from colour-2.3.3

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample470.0ms (10.7%)

Memory
182.0MiB live, 182.0MiB allocated
Samples
270.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-add: 74.0ms (55.6% of total)
ival-div: 46.0ms (34.6% of total)
ival-true: 6.0ms (4.5% of total)
exact: 5.0ms (3.8% of total)
ival-assert: 3.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain63.0ms (1.4%)

Memory
34.7MiB live, 34.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
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
21.0ms512×0valid
Compiler

Compiled 91 to 46 computations (49.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (57.6% of total)
ival-div: 3.0ms (34.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess48.0ms (1.1%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
14235
28635
320435
457735
5121635
6158635
7197935
8210335
9217435
10218635
067
097
1137
0137
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11316
01316
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize14.0ms (0.3%)

Memory
6.6MiB live, 6.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0
(+.f64 x y)
accuracy0.02734375
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
10.0ms256×0valid
Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (47.6% of total)
ival-div: 1.0ms (23.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (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 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 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 (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (+ x y) (+ y 1)) (+ x y) (+ y 1))
0.0ms
y
@inf
((/ (+ x y) (+ y 1)) (+ x y) (+ y 1))
0.0ms
y
@-inf
((/ (+ x y) (+ y 1)) (+ x y) (+ y 1))
0.0ms
x
@inf
((/ (+ x y) (+ y 1)) (+ x y) (+ y 1))
0.0ms
x
@0
((/ (+ x y) (+ y 1)) (+ x y) (+ y 1))

simplify113.0ms (2.6%)

Memory
36.8MiB live, 36.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088362
1263358
2670338
32442308
08192300
Stop Event
iter limit
node limit
Counts
60 → 51
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
1
#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
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(/ y (+ 1 y))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite137.0ms (3.1%)

Memory
55.6MiB live, 55.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14313
230713
3374113
0990413
Stop Event
iter limit
node limit
iter limit
Counts
3 → 471
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 y #s(literal 1 binary64))
Outputs
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eval50.0ms (1.1%)

Memory
45.9MiB live, 45.9MiB allocated
Compiler

Compiled 10 960 to 1 494 computations (86.4% saved)

prune12.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5139522
Fresh000
Picked101
Done000
Total5149523
Accuracy
100.0%
Counts
523 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))
50.7%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x))
50.3%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
50.3%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
52.8%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
49.2%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
50.8%
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
99.8%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
41.8%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 156 to 126 computations (19.2% saved)

simplify98.0ms (2.2%)

Memory
27.1MiB live, 27.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x))
cost-diff192
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023173
037173
168169
2132166
3341166
41285166
54851166
67502166
08167163
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 y x)
x
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
x
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 y #s(literal 1 binary64))
y
Outputs
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
(+.f64 y x)
(+.f64 x y)
x
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
x
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
(fma.f64 (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 y #s(literal 1 binary64))
y

localize48.0ms (1.1%)

Memory
22.7MiB live, 22.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x))
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64)))
accuracy0.0234375
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
accuracy31.531894879448096
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x))
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0078125
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy31.50398227496304
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy0.01953125
(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy32.51267775629143
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
accuracy37.270018173161155
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy0
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
accuracy0.13671875
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
Samples
33.0ms256×0valid
Compiler

Compiled 274 to 42 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 6.0ms (28.6% of total)
ival-add: 6.0ms (28.6% of total)
ival-mult: 5.0ms (23.8% of total)
ival-sub: 3.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
15 → 324
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.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 #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<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 #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- y 1))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -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>) () ())) ())
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (* y (- 1 x)))) x) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)))
2.0ms
x
@inf
((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)))
2.0ms
y
@inf
((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)))
2.0ms
x
@-inf
((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)))
1.0ms
y
@-inf
((* (/ 1 (+ 1 y)) (+ y x)) (/ (+ x y) (+ y 1)) (/ 1 (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (* (- 1 x) (- y 1)))

simplify160.0ms (3.7%)

Memory
53.0MiB live, 53.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02703489
18283325
224793045
082902902
Stop Event
iter limit
node limit
Counts
324 → 314
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(- 1 x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)))
(* -1 (- 1 x))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(* (pow y 3) (- 1 x))
(* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2)))))
(* y (- 1 x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(+ 1 (* -1 (/ (- 1 x) y)))
(+ 1 (* -1 (/ (- 1 x) y)))
(+ 1 (* -1 (/ (- 1 x) y)))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))) x))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(* (pow y 3) (- 1 x))
(* -1 (* (pow y 3) (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))))
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) y)))))
(* y (- 1 x))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* y (- y 1)))
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1))))
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1))))
(+ 1 (+ (* x (- (* -1 (* y (- y 1))) 1)) (* y (- y 1))))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(* y (+ 1 (* y (- y 1))))
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1)))))
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1)))))
(+ (* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1)))) (* y (+ 1 (* y (- y 1)))))
(- y 1)
(- (+ y (* -1 (* x (- y 1)))) 1)
(- (+ y (* -1 (* x (- y 1)))) 1)
(- (+ y (* -1 (* x (- y 1)))) 1)
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (* -1 (* y (- y 1))) 1))
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1))
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1))
(* x (- (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))) 1))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ 1 (* y (- (* -1 (* y (- y 1))) 1))))
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x))))
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x))))
(* x (+ 1 (+ (* y (- (* -1 (* y (- y 1))) 1)) (/ (* y (+ 1 (* y (- y 1)))) x))))
(* -1 (* x (- y 1)))
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* y (- y 1)))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x)
x
(+ x (* y (- 1 x)))
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(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (neg.f64 y)))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x (neg.f64 y)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ 1 (* y (- y 1)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)))
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 y) x x)
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(fma.f64 (-.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) y) x #s(literal -1 binary64))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(fma.f64 (-.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) y) x #s(literal -1 binary64))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(fma.f64 (-.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) y) x #s(literal -1 binary64))

rewrite159.0ms (3.6%)

Memory
61.1MiB live, 61.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023148
037144
1180144
21577144
09161144
Stop Event
iter limit
node limit
iter limit
Counts
15 → 669
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64)))
Outputs
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eval157.0ms (3.6%)

Memory
101.7MiB live, 101.7MiB allocated
Compiler

Compiled 22 677 to 3 419 computations (84.9% saved)

prune47.0ms (1.1%)

Memory
50.5MiB live, 50.5MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1 13191 140
Fresh314
Picked325
Done000
Total1 137121 149
Accuracy
100.0%
Counts
1 149 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x))
52.8%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
49.2%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
51.0%
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
49.1%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
50.3%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (+.f64 y x)))
49.8%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
50.2%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
39.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
12.4%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
39.6%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
41.8%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 186 to 166 computations (10.8% saved)

simplify215.0ms (4.9%)

Memory
32.2MiB live, 32.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
035250
051250
182250
2145241
3333241
41062241
52891241
64752241
76150241
86891241
97230241
107342241
117350241
127433241
137629241
147807241
08381241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
y
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))
(fma.f64 (neg.f64 y) x x)
(neg.f64 y)
y
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ x (+ 1 y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x))
(fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)
#s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal -1 binary64)
x
Outputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
y
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))
#s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 (neg.f64 y) x x)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(neg.f64 y)
y
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ x (+ 1 y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x))
(fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)
#s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal -1 binary64)
x

localize73.0ms (1.7%)

Memory
28.0MiB live, 28.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)
accuracy4.511682644165416
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
accuracy31.531894879448096
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x))
accuracy33.84638624665747
#s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x))
accuracy0.00390625
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy4.511682644165416
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
accuracy31.320249216877123
#s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x))
accuracy32.51267775629143
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
accuracy0
(/.f64 x y)
accuracy31.278913000189995
#s(approx (/ x (+ 1 y)) (/.f64 x y))
accuracy32.51267775629143
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
accuracy0
(fma.f64 (neg.f64 y) x x)
accuracy0
(neg.f64 y)
accuracy31.660395026724615
#s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))
accuracy32.51267775629143
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy30.194166413288787
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
Samples
52.0ms256×0valid
Compiler

Compiled 298 to 55 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 12.0ms (34.4% of total)
ival-add: 10.0ms (28.7% of total)
ival-div: 7.0ms (20.1% of total)
ival-sub: 4.0ms (11.5% of total)
ival-neg: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.6%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
18 → 384
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.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 #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) (patch (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x 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 #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.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>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) (patch (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* y (- y 1))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) (patch #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* y (- 1 y)) 1)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* y (- 1 y)) 1)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* y (- 1 y)) 1)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* y (- 1 y)) 1)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
((/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x))
3.0ms
x
@-inf
((/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x))
3.0ms
x
@inf
((/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x))
2.0ms
y
@inf
((/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x))
2.0ms
y
@-inf
((/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ 1 y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (+ (* (neg y) x) x) (neg y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (/ x y) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (+ (* (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) y) x) (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (* (+ (* (- 1 y) y) -1) x))

simplify157.0ms (3.6%)

Memory
51.1MiB live, 51.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02553802
18503613
225413264
082013108
Stop Event
iter limit
node limit
Counts
384 → 370
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (+ (* -1 x) (* x y))))
(+ x (* y (+ (* -1 x) (* x y))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- y 1)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)))
(- 1 x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* y (+ x (* -1 (* x y)))))
(+ (* -1 x) (* y (+ x (* -1 (* x y)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
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(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ x y)
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(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
(- (+ 1 (/ x y)) (/ 1 y))
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(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x y))))
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(* (pow y 3) (- 1 x))
(* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2)))))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y))))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
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1
(- 1 (/ 1 y))
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(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
1
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(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
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(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x y))))
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
1
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(* -1 (* (pow y 3) (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))))
(* -1 (* (pow y 3) (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ x y))) y))) y)))))
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(* -1 (* x (- y 1)))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(* x (+ 1 (* y (- y 1))))
(* x (+ 1 (* y (- y 1))))
(* x (+ 1 (* y (- y 1))))
(* x (+ 1 (* y (- y 1))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(* -1 (* x (+ 1 (* y (- y 1)))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(* x (- (* y (- 1 y)) 1))
(* x (- (* y (- 1 y)) 1))
(* x (- (* y (- 1 y)) 1))
(* x (- (* y (- 1 y)) 1))
Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x)
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
1
#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)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x)
x
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 y) x x)
(+ x (* y (- (* x y) x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x)
x
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 y) x x)
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 y) x x)
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 y) x x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x)
x
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 y) x x)
(+ x (* y (- (* x y) x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x)
x
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 y) x x)
(+ x (* y (- (* x y) x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x)
x
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 y) x x)
(+ x (* y (+ (* -1 x) (* x y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (+ (* -1 x) (* x y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) y x)
(+ x (* y (- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) y x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 (* y (- 1 x)))) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(- (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(+ (* -1 x) (* y (+ x (* -1 (* x y)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(+ (* -1 x) (* y (+ x (* -1 (* x y)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) x) y)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) x) y)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 (/.f64 x y) x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (* -1 (/ x y))))
(*.f64 (*.f64 (-.f64 x (/.f64 x y)) y) y)
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(*.f64 (*.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) y)
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(*.f64 (*.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 y)))
(*.f64 y (fma.f64 (/.f64 #s(literal -1 binary64) y) y y))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(*.f64 y (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) y y))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(*.f64 y (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) y y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(* (pow y 3) (- 1 x))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x))
(* (pow y 3) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ x (/ x (pow y 2)))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (- 1 x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 y (fma.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) y y))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y) y)
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) (+ x (/ x (pow y 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y))))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) y)
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y))))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y))
(/ x y)
(/.f64 x y)
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(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(* x (- (* y (- 1 y)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(* x (- (* y (- 1 y)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 y) x x)
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 y) x x)
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 y) x x)
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 y) x x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(* x (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(* x (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(* x (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* y (+ 1 (* y (- y 1)))) 1)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y) x x)
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(*.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(*.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) x)) (* y (+ 1 (* y (- y 1))))) 1)))
(*.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (+ 1 (* y (- y 1)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) x x))
(* x (- (* y (- 1 y)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(* x (- (* y (- 1 y)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(* x (- (* y (- 1 y)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
(* x (- (* y (- 1 y)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)

rewrite142.0ms (3.2%)

Memory
50.3MiB live, 50.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035225
051225
1209225
21649225
08286222
Stop Event
iter limit
node limit
iter limit
Counts
18 → 336
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x))
(fma.f64 (neg.f64 y) x x)
(neg.f64 y)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ x (+ 1 y)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x))
(fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x)
#s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)
Outputs
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eval93.0ms (2.1%)

Memory
61.2MiB live, 61.2MiB allocated
Compiler

Compiled 11 122 to 1 717 computations (84.6% saved)

prune37.0ms (0.8%)

Memory
36.4MiB live, 36.4MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New7015706
Fresh145
Picked055
Done022
Total70216718
Accuracy
100.0%
Counts
718 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x))
52.8%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
49.2%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
51.0%
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
49.1%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
49.8%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
50.2%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
12.8%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
13.0%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)))
39.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
12.4%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
39.6%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
39.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
39.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
3.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
41.8%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 195 to 183 computations (6.2% saved)

simplify184.0ms (4.2%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037269
050269
178269
2124269
3217269
4515263
51165263
62059263
72795263
83268263
93491263
103701263
113766263
124118263
134270263
144271263
154271263
164275263
174275263
04275258
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))
#s(literal 1 binary64)
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
y
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
(*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))
#s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 y x)
y
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)))
#s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal -1 binary64)
Outputs
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))
#s(literal 1 binary64)
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
y
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (+.f64 y x) #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (+.f64 y x) #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)))
#s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 y x)
y
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))
#s(approx (/ y (+ 1 y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal -1 binary64)

localize76.0ms (1.7%)

Memory
28.9MiB live, 28.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64))
accuracy0.03515625
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
accuracy30.194166413288787
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)))
accuracy31.765873161368088
#s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))
accuracy0
(+.f64 y x)
accuracy0
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
accuracy0.13671875
(*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))
accuracy31.690284684590928
#s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy31.660395026724615
#s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy32.51267775629143
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
accuracy4.511682644165416
(*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)
accuracy31.320249216877123
#s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))
accuracy31.525002561733782
#s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64))
accuracy32.51267775629143
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
accuracy0
(neg.f64 x)
accuracy0.0078125
(/.f64 #s(approx (- 1 x) (neg.f64 x)) y)
accuracy31.50398227496304
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
accuracy36.82960204027884
#s(approx (- 1 x) (neg.f64 x))
Samples
53.0ms256×0valid
Compiler

Compiled 307 to 56 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 11.0ms (30.9% of total)
ival-add: 9.0ms (25.3% of total)
ival-div: 8.0ms (22.5% of total)
ival-sub: 5.0ms (14% of total)
ival-neg: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
22 → 420
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 x) (* x y)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 x) (* x y)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* y (- y 1)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y))) #<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
2.0ms
x
@-inf
((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (* (/ 1 (+ 1 y)) (+ y x)) (/ 1 (+ 1 y)) (+ y x) (+ (* (+ (* (- 1 y) y) -1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (- 1 y) y) -1) (neg x) (* (+ (* (+ (* (- 1 y) y) -1) y) 1) y))
2.0ms
x
@inf
((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (* (/ 1 (+ 1 y)) (+ y x)) (/ 1 (+ 1 y)) (+ y x) (+ (* (+ (* (- 1 y) y) -1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (- 1 y) y) -1) (neg x) (* (+ (* (+ (* (- 1 y) y) -1) y) 1) y))
2.0ms
x
@0
((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (* (/ 1 (+ 1 y)) (+ y x)) (/ 1 (+ 1 y)) (+ y x) (+ (* (+ (* (- 1 y) y) -1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (- 1 y) y) -1) (neg x) (* (+ (* (+ (* (- 1 y) y) -1) y) 1) y))
1.0ms
y
@-inf
((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (* (/ 1 (+ 1 y)) (+ y x)) (/ 1 (+ 1 y)) (+ y x) (+ (* (+ (* (- 1 y) y) -1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (- 1 y) y) -1) (neg x) (* (+ (* (+ (* (- 1 y) y) -1) y) 1) y))
1.0ms
y
@inf
((/ (+ x y) (+ y 1)) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (- 1 x) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (+ (* (- y 1) y) 1) x) (+ (* (- y 1) y) 1) (/ (+ x y) (+ y 1)) (/ x (+ 1 y)) (* (- 1 y) x) (- 1 y) (/ (+ x y) (+ y 1)) (* (/ 1 (+ 1 y)) (+ y x)) (/ 1 (+ 1 y)) (+ y x) (+ (* (+ (* (- 1 y) y) -1) y) 1) (/ (+ x y) (+ y 1)) (/ y (+ 1 y)) (+ (* (- 1 y) y) -1) (neg x) (* (+ (* (+ (* (- 1 y) y) -1) y) 1) y))

simplify146.0ms (3.3%)

Memory
43.0MiB live, 43.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02303238
17023112
219283006
360953000
081362912
Stop Event
iter limit
node limit
Counts
420 → 402
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (+ (* -1 x) (* x y))))
(+ x (* y (+ (* -1 x) (* x y))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- y 1)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
x
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* -1 y))) 1)
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x y))))
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 (pow y 3))
(* (pow y 3) (- (/ 1 y) 1))
(* (pow y 3) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))
(* (pow y 3) (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))
(* (pow y 2) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (/ 1 y) 1))
(* (pow y 4) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(+ 1 (* -1 (/ (- 1 x) y)))
(+ 1 (* -1 (/ (- 1 x) y)))
(+ 1 (* -1 (/ (- 1 x) y)))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x y))))
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (pow y 3))
(* -1 (* (pow y 3) (- 1 (/ 1 y))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (/ 1 y) 1))
(* (pow y 4) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))
(* (pow y 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(* x (+ 1 (* y (- y 1))))
(* x (+ 1 (* y (- y 1))))
(* x (+ 1 (* y (- y 1))))
(* x (+ 1 (* y (- y 1))))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(* x (+ 1 (* y (- y 1))))
(* x (+ 1 (* y (- y 1))))
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(* x (+ 1 (* y (- y 1))))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
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(* x (- 1 y))
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(* x (- 1 y))
(* x (- 1 y))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(* x (+ 1 (* y (- y 1))))
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(* x (+ 1 (* y (- y 1))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
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(* x (- 1 y))
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(/ x (+ 1 y))
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(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
(/ (- x 1) y)
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(/ (- (+ x y) 1) y)
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y)
(/ (- (+ x y) 1) y)
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y)
(/ (- (+ x y) 1) y)
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 x) y x)
(+ x (* y (- (* x y) x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) y x) y (neg.f64 x)) y x)
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(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 x) y x)
(+ x (* y (+ (* -1 x) (* x y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (+ (* -1 x) (* x y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 x) y x)
(+ x (* y (- (* x y) x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) y x) y (neg.f64 x)) y x)
x
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 x) y x)
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 x) y x)
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 x) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64))
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- (* y (+ 1 (* -1 y))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))
(- (* y (+ 1 (* -1 y))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x y)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) y)) (/.f64 (/.f64 x y) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x y)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) y)) (/.f64 (/.f64 x y) y))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (* -1 (/ x y))))
(*.f64 (-.f64 (*.f64 y x) x) y)
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* (pow y 2) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x y)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) y)) (/.f64 (/.f64 x y) y))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ x y)))
(fma.f64 (neg.f64 x) y x)
(* y (+ (* -1 x) (/ x y)))
(fma.f64 (neg.f64 x) y x)
(* y (+ (* -1 x) (/ x y)))
(fma.f64 (neg.f64 x) y x)
(* -1 y)
(neg.f64 y)
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(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
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(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
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rewrite133.0ms (3%)

Memory
48.8MiB live, 48.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037252
050252
1208252
21626252
08615248
Stop Event
iter limit
node limit
iter limit
Counts
22 → 341
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))
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(*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)
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eval105.0ms (2.4%)

Memory
69.7MiB live, 69.7MiB allocated
Compiler

Compiled 12 776 to 2 080 computations (83.7% saved)

prune42.0ms (0.9%)

Memory
39.5MiB live, 39.5MiB allocated
Pruning

15 alts after pruning (3 fresh and 12 done)

PrunedKeptTotal
New7912793
Fresh314
Picked055
Done077
Total79415809
Accuracy
100.0%
Counts
809 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x))
52.8%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
49.2%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
51.0%
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
49.1%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
50.2%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
13.0%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)))
12.8%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
13.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
39.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
12.4%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
39.6%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
39.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
39.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
41.8%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 333 to 201 computations (39.6% saved)

regimes26.0ms (0.6%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (+ (* (* (- 1 x) (- y 1)) y) (- 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x)) y x))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64)))))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x))
(/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Calls

3 calls:

8.0ms
y
8.0ms
x
8.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes20.0ms (0.5%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
Calls

3 calls:

6.0ms
x
6.0ms
y
6.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
75.7%3x
99.0%3y
99.1%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
98.8%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.2%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
98.6%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.3%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
15 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
Calls

2 calls:

6.0ms
y
5.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.1%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
90.1%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
14 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
Calls

1 calls:

5.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.6%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.2%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
y
5.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
89.3%3y
89.1%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes10.0ms (0.2%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
y
4.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
88.8%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
89.0%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes9.0ms (0.2%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x)))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
y
4.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
88.5%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
88.6%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (fma.f64 (neg.f64 y) x x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (fma.f64 (neg.f64 y) y y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
y
3.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
77.7%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
78.0%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (+ (* (+ (* (- 1 y) y) -1) y) 1) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) #s(approx (+ (* (neg y) x) x) (*.f64 (neg.f64 y) x))))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

3.0ms
y
2.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
77.4%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
77.5%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
41.8%1x
41.8%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
41.8%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch30.0ms (0.7%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.3347256220121318
1.7473181515051742e+22
12.0ms
-25815.943416935872
-0.0007276280663932534
Samples
14.0ms320×0valid
Compiler

Compiled 390 to 362 computations (7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.8% of total)
ival-div: 2.0ms (30.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
0.3347256220121318
1.7473181515051742e+22
1.0ms
-25815.943416935872
-0.0007276280663932534
Samples
1.0ms32×0valid
Compiler

Compiled 350 to 362 computations (-3.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.3347256220121318
1.7473181515051742e+22
1.0ms
-25815.943416935872
-0.0007276280663932534
Compiler

Compiled 350 to 371 computations (-6% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000001382972
71841993.40054074
0.0ms
0.0006775510219460452
0.2507823454437959
0.0ms
-56977.45795218068
-0.5017088243818973
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000001382972
71841993.40054074
0.0ms
0.2507823454437959
0.999999999997554
0.0ms
-56977.45795218068
-0.5017088243818973
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch7.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
0.3347256220121318
1.7473181515051742e+22
1.0ms
-25815.943416935872
-0.0007276280663932534
Samples
2.0ms48×0valid
Compiler

Compiled 230 to 291 computations (-26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 1.0ms (105.9% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.3347256220121318
1.7473181515051742e+22
1.0ms
-25815.943416935872
-0.0007276280663932534
Compiler

Compiled 190 to 251 computations (-32.1% saved)

bsearch12.0ms (0.3%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.3347256220121318
1.7473181515051742e+22
1.0ms
-25815.943416935872
-0.0007276280663932534
Samples
5.0ms112×0valid
Compiler

Compiled 190 to 271 computations (-42.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (43.7% of total)
ival-add: 1.0ms (43.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.3%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
5.773451292075327e-7
1.8845462908101743e-5
1.0ms
-25815.943416935872
-0.0007276280663932534
Samples
5.0ms112×0valid
Compiler

Compiled 154 to 219 computations (-42.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (43.6% of total)
ival-add: 1.0ms (43.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.773451292075327e-7
1.8845462908101743e-5
1.0ms
-25815.943416935872
-0.0007276280663932534
Compiler

Compiled 138 to 219 computations (-58.7% saved)

simplify53.0ms (1.2%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095606
1116606
2138606
3159606
4178606
5216606
6257606
7326606
8414606
9492606
10580606
11644606
12699606
13735606
14760606
15770606
16772606
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -50000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -50000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4458563631096791/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 24 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) (+.f64 y x))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5460236245818027/295147905179352825856 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5460236245818027/295147905179352825856 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (*.f64 #s(approx (+ (* (- y 1) y) 1) #s(literal 1 binary64)) x))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 y x) (-.f64 y #s(literal -1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 (+.f64 y x) #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)))) #s(approx (/ (+ x y) (+ y 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) y)))))
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#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

soundness983.0ms (22.4%)

Memory
17.2MiB live, 17.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02703489
18283325
224793045
082902902
02553802
18503613
225413264
082013108
035225
051225
1209225
21649225
08286222
088362
1263358
2670338
32442308
08192300
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 461 to 246 computations (46.6% saved)

preprocess76.0ms (1.7%)

Memory
49.2MiB live, 49.2MiB allocated
Compiler

Compiled 646 to 178 computations (72.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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