Data.Colour.SRGB:invTransferFunction from colour-2.3.3

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated
Algorithm
1×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)

sample795.0ms (13.7%)

Memory
1.0MiB live, 1 013.7MiB allocated
Samples
576.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-add: 317.0ms (80.3% of total)
ival-div: 63.0ms (16% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain88.0ms (1.5%)

Memory
-19.0MiB live, 93.4MiB 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 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (52.4% of total)
ival-div: 3.0ms (31.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess57.0ms (1%)

Memory
0.9MiB live, 47.2MiB allocated
Algorithm
1×egg-herbie
Rules
402×times-frac
356×associate-*r*
272×div-sub
238×unsub-neg
238×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
14235
28635
320435
457735
5121635
6158635
7197935
8210335
9217435
10218635
067
097
1137
0137
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
1×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)))
Rules
8×lower-+.f32
4×lift-+.f64
4×lower-+.f64
4×+-commutative
2×lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11316
01316
Stop Event
1×iter limit
1×saturated
1×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 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)

localize26.0ms (0.4%)

Memory
-13.1MiB live, 23.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0
(+.f64 x y)
accuracy0.0078125
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (63% of total)
ival-div: 2.0ms (42% 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
5.8MiB live, 5.8MiB 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 (/ 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 (/ 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 (+ 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 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 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 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 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 (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 (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>) () ())) ())
#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 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 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 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 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 (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>) () ())) ())
Calls

15 calls:

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

simplify236.0ms (4.1%)

Memory
-1.6MiB live, 317.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 130×lower-fma.f64
12 130×lower-fma.f32
3 512×lower-+.f64
3 512×lower-+.f32
3 160×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088362
1263358
2670338
32440308
08253300
Stop Event
1×iter limit
1×node limit
Counts
60 → 51
Calls
Call 1
Inputs
(/ 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 (+ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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 (* -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
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) 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 x (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) 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 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x 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 (* 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)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
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)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

rewrite323.0ms (5.6%)

Memory
39.7MiB live, 422.2MiB allocated
Rules
5 790×lower-/.f32
5 788×lower-/.f64
5 040×lower-*.f64
5 040×lower-*.f32
2 694×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14313
230713
3374113
0990413
Stop Event
1×iter limit
1×node limit
1×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
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 y (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (-.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 (-.f64 x y)))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 y x))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) (fma.f64 x x (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) (fma.f64 x x (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 y (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (neg.f64 y) x) (-.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
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(*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))

eval183.0ms (3.1%)

Memory
-9.1MiB live, 108.8MiB allocated
Compiler

Compiled 12 722 to 1 480 computations (88.4% saved)

prune145.0ms (2.5%)

Memory
-20.2MiB live, 154.8MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5175522
Fresh000
Picked101
Done000
Total5185523
Accuracy
100.0%
Counts
523 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.4%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
▶55.3%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
▶46.6%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
▶52.7%
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
▶42.3%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 78 to 50 computations (35.9% saved)

simplify75.0ms (1.3%)

Memory
-3.1MiB live, 71.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 x (+.f64 y #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
Rules
1 040×lower-fma.f32
1 038×lower-fma.f64
448×lower-*.f64
448×lower-*.f32
292×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020117
029117
139117
248117
370117
4134117
5198117
6313117
7522117
8781117
91019117
101398117
111621117
121624117
131638117
141650117
01650117
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
y
Outputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
y

localize58.0ms (1%)

Memory
40.5MiB live, 111.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal -1 binary64))
accuracy0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
accuracy0.01171875
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
accuracy30.302318846147255
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
accuracy0
(/.f64 x (+.f64 y #s(literal 1 binary64)))
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy34.181652985200586
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
accuracy0
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy32.374959032781845
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
accuracy36.92480786065898
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
accuracy0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy28.62043731007782
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
Samples
31.0ms256×0valid
Compiler

Compiled 91 to 17 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 9.0ms (47.2% of total)
ival-add: 6.0ms (31.5% of total)
ival-mult: 2.0ms (10.5% of total)
ival-sub: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
3.0MiB live, 39.6MiB allocated
Counts
13 → 264
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<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)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (patch (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 y #s(literal 1 binary64))) (patch (/.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) y) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 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 #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 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 #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 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 #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #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)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 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 #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

66 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/ x (+ y 1))
1.0ms
x
@0
(/ (+ x -1) y)
1.0ms
x
@inf
(+ (* y (- 1 x)) x)
0.0ms
x
@-inf
(/ x (+ y 1))
0.0ms
x
@0
(/ x (+ y 1))

simplify257.0ms (4.4%)

Memory
-9.9MiB live, 406.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 450×lower-fma.f64
12 450×lower-fma.f32
2 648×lower-*.f64
2 648×lower-*.f32
2 548×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812135
15412070
213671996
350491946
082191888
Stop Event
1×iter limit
1×node limit
Counts
264 → 251
Calls
Call 1
Inputs
(/ 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 (+ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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 (* -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
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
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)))
(/ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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
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(+ 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))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 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))
(* -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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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
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(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
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x
(+ x (* y (- 1 x)))
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(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
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(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
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(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
1
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(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
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(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
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(/ 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 (+ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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)))))
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(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
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(/ x (+ 1 y))
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x
(+ x (* -1 (* x y)))
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(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ 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)
(* -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))
(/ y (+ 1 y))
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(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 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))
(* -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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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
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(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
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(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 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))))
(/ 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))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
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(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
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(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x 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)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
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(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
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Outputs
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #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 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* y (- y 1))))
(fma.f64 y (-.f64 (*.f64 y y) y) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
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) (*.f64 y (*.f64 y 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))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #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 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #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 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- 1 x))
(-.f64 y (*.f64 y x))
(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- 1 x))
(-.f64 y (*.f64 y x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
y
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -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)
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #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 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* y (- (* x y) x)))
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(fma.f64 y (fma.f64 y (-.f64 x (*.f64 y x)) (neg.f64 x)) x)
(/ 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 (/.f64 x y) x) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(/.f64 (-.f64 x (/.f64 x y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y)) y)
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #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 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

rewrite487.0ms (8.4%)

Memory
-0.3MiB live, 235.2MiB allocated
Rules
6 316×lower-fma.f32
6 314×lower-fma.f64
3 996×lower-*.f64
3 996×lower-*.f32
3 930×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020101
029101
1122101
2946101
08803101
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 437
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
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(-.f64 (/.f64 (*.f64 x x) (fma.f64 x y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) y) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) y)))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) y))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 y (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x y y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 y (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) y)))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (fma.f64 x y y)))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y)) (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) y))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))

eval435.0ms (7.5%)

Memory
-4.8MiB live, 151.8MiB allocated
Compiler

Compiled 11 260 to 1 208 computations (89.3% saved)

prune108.0ms (1.9%)

Memory
-0.6MiB live, 124.6MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New7395744
Fresh000
Picked235
Done000
Total7418749
Accuracy
100.0%
Counts
749 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.4%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
▶49.8%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
✓55.3%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓46.6%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
▶52.8%
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
▶15.0%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
▶13.2%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
✓42.3%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 104 to 53 computations (49% saved)

simplify74.0ms (1.3%)

Memory
11.1MiB live, 49.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ y 1)) (/.f64 x y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
cost-diff0
(*.f64 y y)
cost-diff0
(-.f64 y (*.f64 y y))
cost-diff0
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ (+ x -1) y) (/.f64 x y))
cost-diff0
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
Rules
800×lower-fma.f32
796×lower-fma.f64
472×lower-*.f32
470×lower-*.f64
244×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029183
038183
156183
268183
386183
4117183
5198183
6319183
7509183
8771183
91001183
101276183
111382183
121412183
131413183
01413183
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
#s(literal 1 binary64)
#s(approx (/ (+ x -1) y) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
y
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ x (+ y 1)) (/.f64 x y))
(/.f64 x y)
x
y
Outputs
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
#s(literal 1 binary64)
#s(approx (/ (+ x -1) y) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
y
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ x (+ y 1)) (/.f64 x y))
(/.f64 x y)
x
y

localize95.0ms (1.6%)

Memory
-10.5MiB live, 112.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy30.18349232595553
#s(approx (/ x (+ y 1)) (/.f64 x y))
accuracy34.181652985200586
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
accuracy0
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)
accuracy0
(neg.f64 x)
accuracy32.374959032781845
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
accuracy34.66280739410427
#s(approx (- 1 x) (neg.f64 x))
accuracy0
(*.f64 y y)
accuracy0.00390625
(-.f64 y (*.f64 y y))
accuracy28.62043731007782
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
accuracy32.952289750510026
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
accuracy0
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
accuracy28.801458426753072
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy32.374959032781845
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
accuracy0
(/.f64 x y)
accuracy0
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
accuracy30.302318846147255
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
accuracy34.43498303675364
#s(approx (/ (+ x -1) y) (/.f64 x y))
Samples
73.0ms256×0valid
Compiler

Compiled 106 to 21 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 32.0ms (55.6% of total)
ival-div: 16.0ms (27.8% of total)
ival-add: 6.0ms (10.4% of total)
ival-sub: 2.0ms (3.5% of total)
ival-neg: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
-3.0MiB live, 33.6MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #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)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (patch (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))) (patch #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))) #<representation binary64>) () ())
#s(alt (-.f64 y (*.f64 y y)) (patch (-.f64 y (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (patch (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ y 1)) (/.f64 x y)) (patch #s(approx (/ x (+ y 1)) (/.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x 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)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x 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)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x 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)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #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)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #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)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #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)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<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 #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<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 #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x y) 1) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 x) (#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) (/ 1 y)) (taylor 0 x) (#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) (/ 1 y)) (taylor 0 x) (#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) (/ 1 y)) (taylor 0 x) (#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 inf x) (#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 y) (/ 1 (* x y)))) (taylor inf x) (#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 y) (/ 1 (* x y)))) (taylor inf x) (#s(alt #s(approx (/ (+ x -1) y) (/.f64 x y)) (patch #s(approx (/ (+ x -1) y) (/.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ x (+ y 1)) (/.f64 x y)) (patch #s(approx (/ x (+ y 1)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ x (+ y 1)) (/.f64 x y)) (patch #s(approx (/ x (+ y 1)) (/.f64 x y)) #<representation binary64>) () ())) ())
Calls

84 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ x y)
0.0ms
y
@-inf
(/ x y)
0.0ms
x
@inf
(/ x y)
0.0ms
y
@inf
(/ x y)
0.0ms
y
@inf
(- y (* y y))

simplify266.0ms (4.6%)

Memory
17.1MiB live, 452.5MiB allocated
Algorithm
1×egg-herbie
Rules
12 366×lower-fma.f64
12 366×lower-fma.f32
2 862×lower-*.f64
2 862×lower-*.f32
2 528×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812470
15362388
213552314
349972264
085332187
Stop Event
1×iter limit
1×node limit
Counts
336 → 324
Calls
Call 1
Inputs
(/ 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 (+ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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 (* -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 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 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))))
(/ 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))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x 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)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x 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)))
(/ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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 (* -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
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
y
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -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 (+ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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 (* -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
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ 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 (+ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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 (* -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
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
y
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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 (+ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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 (* -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 (+ 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))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ 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)
(* -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))
Outputs
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) 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 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #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 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) x) y))
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (- (+ x y) 1) y)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
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(* -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)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) 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 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #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 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) x) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* y (- (* x y) x)))
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(fma.f64 y (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x)
(/ 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 (/.f64 x y) x) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (-.f64 x (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(/.f64 (-.f64 x (/.f64 x y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/.f64 (-.f64 x (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y)) y)

rewrite320.0ms (5.5%)

Memory
-10.0MiB live, 390.9MiB allocated
Rules
4 918×lower-fma.f32
4 914×lower-fma.f64
4 522×lower-/.f32
4 520×lower-/.f64
4 188×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029169
038169
1163169
21178169
08491169
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 255
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) #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)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
(-.f64 y (*.f64 y y))
(*.f64 y y)
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
(fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ x (+ y 1)) (/.f64 x y))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
(+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (neg.f64 (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))
(-.f64 (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (neg.f64 (/.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (/.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64))) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(/.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))
(/.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (neg.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))))) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) (+.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (+ x -1) y) (/.f64 x y)) #s(approx (/ (+ x -1) y) (/.f64 x y)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
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(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 y #s(approx (- 1 x) (neg.f64 x))))
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)
(fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y) x)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 y (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (neg.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x y))))) (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))))
(/.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x))) (fma.f64 x x (fma.f64 y (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (neg.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (fma.f64 y (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (neg.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x y)))))))
(/.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y) x)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y) x))
(/.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x))))) (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (*.f64 (*.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (*.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (*.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x y)) (*.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x y)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x y)))))) (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x (neg.f64 x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x (neg.f64 x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x y)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x y))))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (*.f64 x x)) (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (*.f64 x x)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y) x))) (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))))) (neg.f64 (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
(*.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(*.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 y (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (neg.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x y)))))))
(*.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))))
(*.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y) x)))
(*.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x) (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(approx (- 1 x) (neg.f64 x))))))
#s(approx (- 1 x) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (*.f64 x (neg.f64 x)) x)
(/.f64 (neg.f64 (*.f64 x (*.f64 x (neg.f64 x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ x (+ y 1)) (/.f64 x y))

eval117.0ms (2%)

Memory
-6.1MiB live, 144.0MiB allocated
Compiler

Compiled 10 504 to 748 computations (92.9% saved)

prune76.0ms (1.3%)

Memory
-17.3MiB live, 194.0MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New6311632
Fresh000
Picked055
Done033
Total6319640
Accuracy
100.0%
Counts
640 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓36.4%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
✓49.8%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
✓55.3%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓46.6%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
✓52.8%
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
✓15.0%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
▶2.4%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
✓13.2%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
✓42.3%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 71 to 37 computations (47.9% saved)

simplify34.0ms (0.6%)

Memory
14.7MiB live, 52.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (neg.f64 y))
cost-diff0
#s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))
cost-diff0
#s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
Rules
416×lower-fma.f64
416×lower-fma.f32
248×lower-*.f32
246×lower-*.f64
142×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01457
01657
12857
23657
35357
47857
513557
622057
731357
843557
958057
1069857
1172557
1274957
1375857
075857
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))
#s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))
#s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))
(*.f64 y (neg.f64 y))
y
(neg.f64 y)

localize29.0ms (0.5%)

Memory
5.2MiB live, 44.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy28.62043731007782
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
accuracy29.664413908211078
#s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))
accuracy32.952289750510026
#s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))
Samples
18.0ms256×0valid
Compiler

Compiled 26 to 13 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 3.0ms (25.4% of total)
ival-add: 3.0ms (25.4% of total)
ival-mult: 3.0ms (25.4% of total)
ival-sub: 1.0ms (8.5% of total)
ival-neg: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 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 (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 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 (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 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 (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 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 (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 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 (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<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 #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<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 #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 y)) (taylor inf y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) (taylor inf y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) (taylor inf y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 y)) (taylor -inf y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) (taylor -inf y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) (patch #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 y) 1)) (taylor inf y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 y) 1)) (taylor -inf y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 y) 1)) (taylor -inf y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 y) 1)) (taylor -inf y) (#s(alt #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) (patch #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 y (neg.f64 y)) (patch (*.f64 y (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(* y (neg y))
0.0ms
y
@0
(* y (neg y))
0.0ms
y
@inf
(neg y)
0.0ms
y
@inf
(- y (* y y))
0.0ms
y
@-inf
(* y (neg y))

simplify226.0ms (3.9%)

Memory
22.7MiB live, 287.3MiB allocated
Algorithm
1×egg-herbie
Rules
14 106×lower-fma.f64
14 106×lower-fma.f32
2 984×lower-+.f64
2 984×lower-+.f32
2 796×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098505
1288490
2721462
32521426
47402426
08126416
Stop Event
1×iter limit
1×node limit
Counts
72 → 69
Calls
Call 1
Inputs
(/ 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 (+ 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 (* 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
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 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 (* -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
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (-.f64 (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) 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 #s(literal 1 binary64) (/.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 x (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #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 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y))
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* y (- y 1))))
(fma.f64 y (-.f64 (*.f64 y y) y) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 y (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) 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 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

rewrite318.0ms (5.5%)

Memory
-28.9MiB live, 336.9MiB allocated
Rules
6 630×lower-fma.f64
6 630×lower-fma.f32
4 458×lower-*.f32
4 456×lower-*.f64
3 150×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
01656
17356
248356
3559556
0861056
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 46
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))
#s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))
(*.f64 y (neg.f64 y))
(neg.f64 y)
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y))))
#s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(neg.f64 (*.f64 y y))
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) y)
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (neg.f64 y))) (*.f64 y y))
(*.f64 y (neg.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y)))
(*.f64 (*.f64 y y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) y)
(*.f64 (*.f64 y (neg.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y (/.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 y (neg.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y (neg.f64 y)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) y)
(pow.f64 (/.f64 y (*.f64 y (neg.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (/.f64 (neg.f64 y) y))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))

eval11.0ms (0.2%)

Memory
34.6MiB live, 34.7MiB allocated
Compiler

Compiled 1 151 to 147 computations (87.2% saved)

prune19.0ms (0.3%)

Memory
-9.4MiB live, 37.0MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1150115
Fresh000
Picked011
Done088
Total1159124
Accuracy
100.0%
Counts
124 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓36.4%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
✓49.8%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
✓55.3%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓46.6%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
✓52.8%
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
✓15.0%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
✓2.4%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
✓13.2%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
✓42.3%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 148 to 60 computations (59.5% saved)

regimes15.0ms (0.3%)

Memory
-2.2MiB live, 35.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Calls

3 calls:

6.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.3%)

Memory
-4.3MiB live, 33.9MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
Calls

3 calls:

6.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
77.6%3x
99.4%3y
99.6%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
99.0%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory
-19.4MiB live, 18.2MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

6.0ms
y
3.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
88.6%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
90.2%4y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) (neg.f64 x)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
Calls

2 calls:

3.0ms
y
3.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
88.6%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
88.6%3y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory
-29.9MiB live, 14.1MiB 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:

6.0ms
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
42.3%1x
42.3%1y
42.3%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch30.0ms (0.5%)

Memory
27.5MiB live, 65.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
3.3504327014530136e-14
111.15303354615206
16.0ms
-7982582.512196257
-2.6480998150238407e-18
Samples
13.0ms336×0valid
Compiler

Compiled 453 to 305 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (47.5% of total)
ival-div: 2.0ms (31.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory
-21.9MiB live, 15.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
3.3504327014530136e-14
111.15303354615206
1.0ms
-7982582.512196257
-2.6480998150238407e-18
Samples
2.0ms48×0valid
Compiler

Compiled 432 to 263 computations (39.1% 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)

bsearch9.0ms (0.2%)

Memory
25.8MiB live, 25.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.3504327014530136e-14
111.15303354615206
1.0ms
-7982582.512196257
-2.6480998150238407e-18
7.0ms
-3.278557320980241e+23
-7.152466012132389e+22
Samples
4.0ms96×0valid
Compiler

Compiled 438 to 269 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (55.7% of total)
ival-add: 1.0ms (55.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1801.9411538720535
8607830976.233585
0.0ms
2.1270971450995722e-10
0.9999913870031406
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify10.0ms (0.2%)

Memory
-22.8MiB live, 16.3MiB allocated
Algorithm
1×egg-herbie
Rules
14×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050250
160250
263250
365250
466250
Stop Event
1×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 x #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 y #s(literal -195000000000000002097152 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2000 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Outputs
(/.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 x #s(literal -1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 y #s(literal -195000000000000002097152 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2000 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

soundness740.0ms (12.7%)

Memory
-8.2MiB live, 361.5MiB allocated
Rules
12 450×lower-fma.f64
12 450×lower-fma.f32
12 130×lower-fma.f64
12 130×lower-fma.f32
3 512×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812135
15412070
213671996
350491946
082191888
088362
1263358
2670338
32440308
08253300
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 210 to 90 computations (57.1% saved)

preprocess42.0ms (0.7%)

Memory
1.5MiB live, 112.0MiB allocated
Compiler

Compiled 284 to 80 computations (71.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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