Data.Colour.SRGB:invTransferFunction from colour-2.3.3

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory
23.8MiB live, 23.8MiB 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)

sample607.0ms (8.8%)

Memory
-13.3MiB live, 936.1MiB allocated
Samples
366.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-add: 88.0ms (51.8% of total)
ival-div: 67.0ms (39.4% of total)
ival-true: 6.0ms (3.5% of total)
exact: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain59.0ms (0.9%)

Memory
19.9MiB live, 57.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
21.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (53.3% of total)
ival-div: 3.0ms (32% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess97.0ms (1.4%)

Memory
-11.9MiB live, 26.5MiB 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)))
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB 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
8.2MiB live, 8.2MiB 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 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize27.0ms (0.4%)

Memory
-2.1MiB live, 44.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0
(+.f64 x y)
accuracy0.01171875
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 11.0ms (82.8% of total)
ival-div: 2.0ms (15% 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
8.6MiB live, 8.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify198.0ms (2.9%)

Memory
-24.0MiB live, 177.4MiB 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
32442308
08192300
Stop Event
1×iter limit
1×node limit
Counts
60 → 51
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(-.f64 (+.f64 (/.f64 x (*.f64 (*.f64 y y) y)) (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) #s(literal 1 binary64)) y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(/ y (+ 1 y))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite226.0ms (3.3%)

Memory
20.3MiB live, 253.2MiB 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 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (-.f64 y x) y)) (*.f64 (-.f64 y x) y)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 y x) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 y x) (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x y) (+.f64 y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (+.f64 y x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 x y)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (*.f64 y y))) (*.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))))
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(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y 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 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval63.0ms (0.9%)

Memory
-3.1MiB live, 116.1MiB allocated
Compiler

Compiled 12 720 to 1 474 computations (88.4% saved)

prune162.0ms (2.4%)

Memory
-14.3MiB live, 184.4MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New5157522
Fresh000
Picked011
Done000
Total5158523
Accuracy
100.0%
Counts
523 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
70.8%
(/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))
▶99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))
▶53.6%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
53.4%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
▶54.9%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
▶46.7%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
▶37.8%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 143 to 88 computations (38.5% saved)

simplify108.0ms (1.6%)

Memory
-2.2MiB live, 83.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
cost-diff0
(+.f64 y x)
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))
Rules
832×lower-fma.f32
830×lower-fma.f64
400×lower-*.f64
400×lower-*.f32
308×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018108
027108
136108
257106
393106
4169106
5238106
6332106
7506106
8715106
9932106
101280106
111513106
121539106
131544106
141545106
01545106
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 y x)
x
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
y
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))
(/.f64 (+.f64 x y) (-.f64 y #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))
(/.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 x y))
(+.f64 #s(literal 1 binary64) y)
(-.f64 y #s(literal -1 binary64))
y
(+.f64 y x)
(+.f64 x y)
x
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (-.f64 y #s(literal -1 binary64)))
x
(+.f64 #s(literal 1 binary64) y)
(-.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(/.f64 y (-.f64 y #s(literal -1 binary64)))
y
(+.f64 #s(literal 1 binary64) y)
(-.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)

localize42.0ms (0.6%)

Memory
2.3MiB live, 77.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy28.83546904645642
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy34.110277415711685
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
accuracy29.711301495351652
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
accuracy39.7926817722282
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
accuracy0
(+.f64 y x)
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy0.01953125
(/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))
accuracy0.125
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))
Samples
32.0ms256×0valid
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 10.0ms (51.7% of total)
ival-add: 6.0ms (31% of total)
ival-mult: 2.0ms (10.3% 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)

series14.0ms (0.2%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
12 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<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 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y 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 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (+ y (/ (* (pow y 2) (+ 1 y)) (pow x 2)))) (/ (* y (+ 1 y)) x)) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (+ y (* -1 (/ (* (pow y 3) (+ 1 y)) (pow x 3))))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) (pow x 2))) (/ (* y (+ 1 y)) x))) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #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)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #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)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #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)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (/ (* (pow y 2) (+ 1 y)) x) (* y (+ 1 y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ 1 y)) x) (* (pow y 2) (+ 1 y))) x)) (* y (+ 1 y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #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)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #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)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #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)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify210.0ms (3.1%)

Memory
-14.7MiB live, 257.2MiB allocated
Algorithm
1×egg-herbie
Rules
15 160×lower-fma.f64
15 160×lower-fma.f32
4 396×lower-+.f64
4 396×lower-+.f32
3 556×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02922516
19232432
225032216
085102123
Stop Event
1×iter limit
1×node limit
Counts
252 → 235
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(/ 1 x)
(+ (* y (- (/ 1 x) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(+ x y)
(+ x y)
(+ x y)
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
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(+ x (* y (- 1 x)))
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(+ x (* y (- 1 x)))
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(+ x (* -1 (* x y)))
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(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
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(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
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(- (+ 1 (+ (* -1 (/ (* x (- 1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ 1 (+ (/ 1 y) (/ (* (pow x 2) (- 1 x)) (pow y 3)))) (+ (/ x y) (/ (* x (- 1 x)) (pow y 2))))
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(* y (+ 1 (/ 1 y)))
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(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(* y (- 1 x))
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(* y (- (+ 1 (/ x y)) x))
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1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
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(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ x y)
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(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
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(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
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(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ (+ 1 y) x)
(/ (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))) x)
(/ (- (+ 1 (+ y (/ (* (pow y 2) (+ 1 y)) (pow x 2)))) (/ (* y (+ 1 y)) x)) x)
(/ (- (+ 1 (+ y (* -1 (/ (* (pow y 3) (+ 1 y)) (pow x 3))))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) (pow x 2))) (/ (* y (+ 1 y)) x))) x)
x
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(/ x (+ 1 y))
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(* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (/ (* (pow y 2) (+ 1 y)) x) (* y (+ 1 y))) x))) x))
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(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
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(/ x (+ 1 y))
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Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
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(+.f64 (+.f64 (/.f64 y (*.f64 (neg.f64 x) x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 y (*.f64 (neg.f64 x) x)) (/.f64 y (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 y (*.f64 (*.f64 x x) x))) (/.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) y (/.f64 #s(literal 1 binary64) x))
1
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x
(+ x y)
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x
(+ x (* y (- 1 x)))
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(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* y (- 1 x)))
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(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* y (- 1 x)))
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(+ x (* y (- 1 x)))
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x
(+ x (* y (- 1 x)))
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(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (* y (- (* x y) x)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y (neg.f64 x)) y x)
x
(+ x (* y (- 1 x)))
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(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
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(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) (-.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))
1
#s(literal 1 binary64)
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(- (+ 1 (+ (/ 1 y) (/ (* (pow x 2) (- 1 x)) (pow y 3)))) (+ (/ x y) (/ (* x (- 1 x)) (pow y 2))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) y)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
y
(* y (+ 1 (/ 1 y)))
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(* y (+ 1 (/ 1 y)))
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(* y (+ 1 (/ 1 y)))
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y
(* y (+ 1 (/ x y)))
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1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
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(-.f64 (+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) (-.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
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(-.f64 (+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
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(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) (-.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))
(* y (- 1 x))
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(* y (- (+ 1 (/ x y)) x))
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1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
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(-.f64 (+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) (-.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))
(/ x y)
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(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
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(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
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1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
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(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 (-.f64 (/.f64 y x) y) x x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 (-.f64 (/.f64 y x) y) x 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)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))

rewrite414.0ms (6%)

Memory
25.0MiB live, 184.6MiB allocated
Rules
6 454×lower-fma.f32
6 452×lower-fma.f64
5 144×lower-*.f64
5 144×lower-*.f32
4 464×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01890
02788
112988
297188
0852688
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 1 058
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))
(/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y x)
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (+.f64 x y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 x y)))
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(/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))))
(neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 y)))
(fma.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)))
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 y y)))
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(fma.f64 (fma.f64 y y (neg.f64 y)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(fma.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y (neg.f64 y)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(+.f64 (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 y y (neg.f64 y)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (neg.f64 y)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 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 (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y))) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y))))
(+.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))

eval376.0ms (5.5%)

Memory
9.5MiB live, 348.2MiB allocated
Compiler

Compiled 27 765 to 2 926 computations (89.5% saved)

prune305.0ms (4.4%)

Memory
-52.4MiB live, 457.3MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 43561 441
Fresh202
Picked235
Done011
Total1 439101 449
Accuracy
100.0%
Counts
1 449 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
53.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)))
▶53.4%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x))
▶53.9%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓54.9%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓46.7%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
▶32.5%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
▶18.8%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶13.6%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
✓37.8%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 149 to 85 computations (43% saved)

simplify485.0ms (7.1%)

Memory
20.5MiB live, 220.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y #s(literal -1 binary64))
cost-diff0
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
cost-diff704
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ 1 y)) (/.f64 x y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
cost-diff0
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
Rules
21 534×lower-fma.f32
21 528×lower-fma.f64
3 406×lower--.f32
3 400×lower--.f64
3 204×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030191
044191
169191
2123181
3277181
4855181
53590181
08393181
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ x (+ 1 y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
y
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ x (+ 1 y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
y
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 y (-.f64 y #s(literal -1 binary64)))
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)

localize90.0ms (1.3%)

Memory
-2.9MiB live, 35.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.09375
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
accuracy16.16065867754709
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
accuracy28.83546904645642
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
accuracy0.01171875
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
accuracy29.836553765204776
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x))
accuracy0
(/.f64 x y)
accuracy33.11954886999528
#s(approx (/ x (+ 1 y)) (/.f64 x y))
accuracy34.110277415711685
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy28.83546904645642
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
accuracy29.989948309118
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy0.00390625
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
accuracy26.889127634736038
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy29.711301495351652
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
Samples
75.0ms256×0valid
Compiler

Compiled 131 to 27 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 9.0ms (31.5% of total)
ival-div: 8.0ms (28% of total)
ival-add: 7.0ms (24.5% of total)
ival-sub: 5.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series99.0ms (1.4%)

Memory
-11.5MiB live, 24.4MiB allocated
Counts
19 → 348
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y 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 (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 y)) (/.f64 x y)) (patch #s(approx (/ x (+ 1 y)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) (patch (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ())
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#s(alt (/ x (+ 1 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)) (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)) (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)) (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 y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) (patch (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) (patch (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) (patch (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) (patch (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.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 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.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 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.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 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify191.0ms (2.8%)

Memory
33.0MiB live, 228.7MiB allocated
Algorithm
1×egg-herbie
Rules
16 200×lower-fma.f64
16 200×lower-fma.f32
3 688×lower-+.f64
3 688×lower-+.f32
3 050×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02542805
17462660
220522574
375322573
083502491
Stop Event
1×iter limit
1×node limit
Counts
348 → 332
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* -1 (* y (- x 1))))
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1)))))
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1)))))
(* -1 (- x 1))
(+ (* -1 (- x 1)) (* y (- x 1)))
(+ (* -1 (- x 1)) (* y (- x 1)))
(+ (* -1 (- x 1)) (* y (- x 1)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
-1
(- y 1)
(- y 1)
(- y 1)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(* y (- 1 x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) 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 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (* -1 (/ (- x 1) y))) 1))
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1))
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1))
(* y (- x 1))
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(* y (- (+ x (* -1 (/ (- x 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 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(* y (- 1 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)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (* -1 (/ (- x 1) y))) 1))
(* (pow y 2) (- (+ x (* -1 (/ (- (+ x (* -1 (/ x y))) 1) y))) 1))
(* (pow y 2) (- (+ x (* -1 (/ (- (+ x (* -1 (/ x y))) 1) y))) 1))
(* y (- x 1))
(* -1 (* y (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y))))
(* -1 (* y (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y))))
(* -1 (* y (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
y
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(* -1 (* y (- y 1)))
(+ (* -1 (* y (- y 1))) (* x (+ 1 (* y (- y 1)))))
(+ (* -1 (* y (- y 1))) (* x (+ 1 (* y (- y 1)))))
(+ (* -1 (* y (- y 1))) (* x (+ 1 (* y (- y 1)))))
(* -1 (- y 1))
(+ (* -1 (- y 1)) (* x (- y 1)))
(+ (* -1 (- y 1)) (* x (- y 1)))
(+ (* -1 (- y 1)) (* x (- y 1)))
-1
(- x 1)
(- x 1)
(- x 1)
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 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)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ 1 (* y (- y 1))))
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(* x (- y 1))
(* x (- (+ y (* -1 (/ (- y 1) x))) 1))
(* x (- (+ y (* -1 (/ (- y 1) x))) 1))
(* x (- (+ y (* -1 (/ (- y 1) x))) 1))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (* y (- y 1))) 1)))
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1)))
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1)))
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1)))
(* x (- y 1))
(* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))))
(* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))))
(* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y x)
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (* y (- (* x y) x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) y x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* -1 (* y (- x 1))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y) x)
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y) x)
(* -1 (- x 1))
(-.f64 #s(literal 1 binary64) x)
(+ (* -1 (- x 1)) (* y (- x 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (- x 1)) (* y (- x 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (- x 1)) (* y (- x 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y x)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 (pow y 2)) 1))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) y)
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) y) y #s(literal -1 binary64)) y)
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) y) y #s(literal -1 binary64)) y) y #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 (/.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (+.f64 (+.f64 (/.f64 x (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 x y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) y))))
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 (/.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (+.f64 (+.f64 (/.f64 x (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 x y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.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 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 (/.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (+.f64 (+.f64 (/.f64 x (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 x y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) y))))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 (/.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (+.f64 (+.f64 (/.f64 x (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 x y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) y))))
(* (pow y 2) (- x 1))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (+ x (* -1 (/ (- x 1) y))) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y))
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1))
(*.f64 (+.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y)) y)
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1))
(*.f64 (+.f64 (fma.f64 y x (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y)) y)
(* y (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x))
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 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 (/.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (+.f64 (+.f64 (/.f64 x (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 x y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) y))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y 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))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) x) y))
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y)) x) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
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(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1)))
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(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y) x)
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y y) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))))
(fma.f64 (-.f64 (-.f64 y (/.f64 y x)) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))))
(fma.f64 (-.f64 (-.f64 y (/.f64 y x)) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))))
(fma.f64 (-.f64 (-.f64 y (/.f64 y x)) #s(literal 1 binary64)) 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))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))

rewrite267.0ms (3.9%)

Memory
-8.6MiB live, 355.8MiB allocated
Rules
5 708×lower-/.f32
5 704×lower-/.f64
4 458×lower-*.f32
4 452×lower-*.f64
3 964×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030175
044175
1189165
21526165
08388165
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 947
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ x (+ 1 y)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))))
(*.f64 (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))))) (neg.f64 (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))))
(/.f64 (*.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(approx (- 1 x) #s(literal 1 binary64))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y (neg.f64 x)))))
(+.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)
(+.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 y (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (/.f64 y (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 (*.f64 y y) y (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y))) (*.f64 y (*.f64 y (neg.f64 y))))))
(/.f64 (fma.f64 (*.f64 y y) y (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) (*.f64 y (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) y)) (neg.f64 (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (-.f64 y #s(literal -1 binary64))))
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(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y #s(literal -1 binary64)))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (-.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (neg.f64 (-.f64 y #s(literal -1 binary64)))))
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(-.f64 y #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))

eval245.0ms (3.6%)

Memory
32.6MiB live, 416.0MiB allocated
Compiler

Compiled 30 584 to 3 169 computations (89.6% saved)

prune232.0ms (3.4%)

Memory
-17.9MiB live, 419.1MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New1 37531 378
Fresh011
Picked145
Done044
Total1 376121 388
Accuracy
100.0%
Counts
1 388 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶53.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)))
✓53.9%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
▶53.3%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
✓54.9%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓46.7%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
✓32.5%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
✓18.8%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
▶2.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
▶19.4%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
✓13.6%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
✓37.8%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 103 to 58 computations (43.7% saved)

simplify146.0ms (2.1%)

Memory
13.3MiB live, 52.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (+ 1 y) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
cost-diff0
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
cost-diff0
#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
Rules
1 952×lower-fma.f32
1 950×lower-fma.f64
816×lower-*.f32
812×lower-*.f64
674×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029185
038185
155185
284183
3130183
4249183
5493183
6942183
71374183
81700183
92254183
102566183
112903183
123014183
133148183
143263183
153363183
163431183
173431183
03431183
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
(fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)
#s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)))
#s(literal 1 binary64)
(/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))
#s(approx (+ 1 y) #s(literal 1 binary64))
(+.f64 y x)
y
x
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
(fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)
#s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)))
(/.f64 (+.f64 y x) #s(approx (+ 1 y) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))
#s(approx (+ 1 y) #s(literal 1 binary64))
(+.f64 y x)
y
x

localize85.0ms (1.2%)

Memory
-27.1MiB live, 71.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0.01953125
(/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))
accuracy0.125
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)))
accuracy29.499007484154156
#s(approx (+ 1 y) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)
accuracy26.87537547352875
#s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))
accuracy29.836553765204776
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
accuracy0.00390625
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
accuracy28.83546904645642
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
accuracy29.989948309118
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))
accuracy33.2902610267399
#s(approx (- 1 y) (neg.f64 y))
accuracy0.00390625
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)
accuracy28.83546904645642
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
accuracy29.567788795936917
#s(approx (- 1 y) #s(literal 1 binary64))
accuracy29.989948309118
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))
Samples
63.0ms256×0valid
Compiler

Compiled 103 to 21 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-neg: 24.0ms (46.6% of total)
ival-div: 12.0ms (23.3% of total)
ival-add: 6.0ms (11.7% of total)
ival-mult: 5.0ms (9.7% of total)
ival-sub: 3.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
16 → 288
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())
#s(alt #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) (patch (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 y) #s(literal 1 binary64)) (patch #s(approx (+ 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) 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 (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) 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 (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) (patch (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)) x)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) (patch (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (/ (* (pow y 2) (+ 1 y)) x) (* y (+ 1 y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) (patch (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ 1 y)) x) (* (pow y 2) (+ 1 y))) x)) (* y (+ 1 y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) (patch (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify295.0ms (4.3%)

Memory
-19.5MiB live, 243.8MiB allocated
Algorithm
1×egg-herbie
Rules
19 478×lower-fma.f64
19 478×lower-fma.f32
5 480×lower-+.f64
5 480×lower-+.f32
4 524×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02942738
19142575
226502453
082142363
Stop Event
1×iter limit
1×node limit
Counts
288 → 271
Calls
Call 1
Inputs
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
x
(+ x (* -1 (* y (- x 1))))
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1)))))
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1)))))
(* -1 (- x 1))
(+ (* -1 (- x 1)) (* y (- x 1)))
(+ (* -1 (- x 1)) (* y (- x 1)))
(+ (* -1 (- x 1)) (* y (- x 1)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(/ 1 x)
(+ (* y (- (/ 1 x) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(+ x y)
(+ x y)
(+ x y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (* -1 (/ (- x 1) y))) 1))
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1))
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1))
(* y (- x 1))
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (+ (* -1 (/ (* x (- 1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ 1 (+ (/ 1 y) (/ (* (pow x 2) (- 1 x)) (pow y 3)))) (+ (/ x y) (/ (* x (- 1 x)) (pow y 2))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (* -1 (/ (- x 1) y))) 1))
(* (pow y 2) (- (+ x (* -1 (/ (- (+ x (* -1 (/ x y))) 1) y))) 1))
(* (pow y 2) (- (+ x (* -1 (/ (- (+ x (* -1 (/ x y))) 1) y))) 1))
(* y (- x 1))
(* -1 (* y (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y))))
(* -1 (* y (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y))))
(* -1 (* y (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (* -1 (/ (- (/ (* x (+ 1 (* -1 x))) y) (+ 1 (* -1 x))) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1 (* -1 x))) y) (* x (+ 1 (* -1 x)))) y)) (+ 1 (* -1 x))) y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(* -1 (* y (- y 1)))
(+ (* -1 (* y (- y 1))) (* x (+ 1 (* y (- y 1)))))
(+ (* -1 (* y (- y 1))) (* x (+ 1 (* y (- y 1)))))
(+ (* -1 (* y (- y 1))) (* x (+ 1 (* y (- y 1)))))
(* -1 (- y 1))
(+ (* -1 (- y 1)) (* x (- y 1)))
(+ (* -1 (- y 1)) (* x (- y 1)))
(+ (* -1 (- y 1)) (* x (- y 1)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ (+ 1 y) y)
(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(+ 1 (+ (* x (- (/ (* x (+ (/ 1 y) (/ 1 (pow y 2)))) y) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(+ 1 (+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow y 3)) (/ 1 (pow y 4))))) (* -1 (/ (+ (/ 1 y) (/ 1 (pow y 2))) y)))) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ 1 (* y (- y 1))))
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(* x (- y 1))
(* x (- (+ y (* -1 (/ (- y 1) x))) 1))
(* x (- (+ y (* -1 (/ (- y 1) x))) 1))
(* x (- (+ y (* -1 (/ (- y 1) x))) 1))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ (+ 1 y) x)
(/ (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))) x)
(/ (- (+ 1 (+ y (/ (* (pow y 2) (+ 1 y)) (pow x 2)))) (/ (* y (+ 1 y)) x)) x)
(/ (- (+ 1 (+ y (* -1 (/ (* (pow y 3) (+ 1 y)) (pow x 3))))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) (pow x 2))) (/ (* y (+ 1 y)) x))) x)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (* y (- y 1))) 1)))
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1)))
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1)))
(* -1 (* x (- (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)) 1)))
(* x (- y 1))
(* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))))
(* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))))
(* -1 (* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(/ (+ 1 y) x)
(* -1 (/ (+ (* -1 (+ 1 y)) (/ (* y (+ 1 y)) x)) x))
(* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (/ (* (pow y 2) (+ 1 y)) x) (* y (+ 1 y))) x))) x))
(* -1 (/ (+ (* -1 (+ 1 y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ 1 y)) x) (* (pow y 2) (+ 1 y))) x)) (* y (+ 1 y))) x))) x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (*.f64 y y) y)
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (*.f64 y y) y)
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
x
(+ x (* -1 (* y (- x 1))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1)))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (+ (* -1 (- x 1)) (* y (- x 1)))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64)) x)
(* -1 (- x 1))
(-.f64 #s(literal 1 binary64) x)
(+ (* -1 (- x 1)) (* y (- x 1)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+ (* -1 (- x 1)) (* y (- x 1)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+ (* -1 (- x 1)) (* y (- x 1)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* y (- (/ 1 x) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (+ (* y (- (+ (* y (- (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) y (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 x (*.f64 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 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 x (*.f64 y 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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 x (*.f64 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 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 x (*.f64 y 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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 x (*.f64 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 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 x (*.f64 y y)))
(* (pow y 2) (- x 1))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (+ x (* -1 (/ (- x 1) y))) 1))
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) (*.f64 y y))
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (*.f64 y y))
(* (pow y 2) (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) 1))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x (*.f64 y y))) (*.f64 y y))
(* y (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y)
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y)
(* y (- (+ x (* -1 (/ (- x 1) y))) 1))
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 x (*.f64 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 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 x (*.f64 y y)))
1
#s(literal 1 binary64)
(- (+ 1 (/ 1 y)) (/ x y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ 1 (+ (* -1 (/ (* x (- 1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(- (+ 1 (+ (/ 1 y) (/ (* (pow x 2) (- 1 x)) (pow y 3)))) (+ (/ x y) (/ (* x (- 1 x)) (pow y 2))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) y)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) x) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* (pow y 2) (- (/ 1 y) 1))
(fma.f64 (neg.f64 y) y y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) y)) x) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
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(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
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(* (pow y 2) (- x 1))
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(* -1 (* y (- (* -1 (/ x y)) 1)))
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(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
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(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(/ (+ 1 y) y)
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(+ 1 (+ (* -1 (* x (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
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(+ 1 (+ (* x (- (/ (* x (+ (/ 1 y) (/ 1 (pow y 2)))) y) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(+ 1 (+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow y 3)) (/ 1 (pow y 4))))) (* -1 (/ (+ (/ 1 y) (/ 1 (pow y 2))) y)))) (+ (/ 1 y) (/ 1 (pow y 2))))) (/ 1 y)))
(fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) y) y)) (/.f64 x (*.f64 (*.f64 y y) y)))) x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* x (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y (/.f64 y x)) #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (* -1 (/ (- y 1) x))) 1))
(*.f64 (-.f64 (-.f64 y (/.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)
(* x (- (+ y (* -1 (/ (- y 1) x))) 1))
(*.f64 (-.f64 (-.f64 y (/.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)
(* x (- (+ y (* -1 (/ (- y 1) x))) 1))
(*.f64 (-.f64 (-.f64 y (/.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/ (+ 1 y) x)
(/.f64 (+.f64 #s(literal 1 binary64) y) x)
(/ (+ 1 (+ y (* -1 (/ (* y (+ 1 y)) x)))) x)
(/.f64 (+.f64 (-.f64 y (/.f64 (fma.f64 y y y) x)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (+ y (/ (* (pow y 2) (+ 1 y)) (pow x 2)))) (/ (* y (+ 1 y)) x)) x)
(/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 (*.f64 y y) x) y) (+.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ 1 (+ y (* -1 (/ (* (pow y 3) (+ 1 y)) (pow x 3))))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) (pow x 2))) (/ (* y (+ 1 y)) x))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y (/.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (neg.f64 x))) x) (+.f64 #s(literal 1 binary64) y)) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
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(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
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(fma.f64 (/.f64 y (fma.f64 y x x)) x (/.f64 x (+.f64 #s(literal 1 binary64) y)))
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(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y (/.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) (neg.f64 x))) x) (+.f64 #s(literal 1 binary64) y)) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)

rewrite213.0ms (3.1%)

Memory
36.9MiB live, 274.9MiB allocated
Rules
6 502×lower-fma.f32
6 500×lower-fma.f64
4 752×lower-*.f32
4 748×lower-*.f64
4 136×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029174
038174
1151172
21149172
08905172
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 448
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
(fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)
#s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)))
(/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))
#s(approx (+ 1 y) #s(literal 1 binary64))
(+.f64 y x)
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))
(*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)
(*.f64 y #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) #s(literal 1 binary64))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
(*.f64 y #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
(*.f64 (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y))))
(*.f64 (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (neg.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y)))))))
(*.f64 (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y)))) (neg.f64 (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (neg.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y))) (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y)))
(/.f64 (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (neg.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (neg.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y))))))
(/.f64 (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (fma.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y)) (*.f64 (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x) (-.f64 x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)))
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(fma.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) y x)
(fma.f64 (*.f64 (*.f64 (*.f64 y y) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y (neg.f64 x)))))
(fma.f64 (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64) x)
(fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y))
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(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y))
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(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
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(fma.f64 y (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (neg.f64 x) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 x (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) #s(approx (+ 1 y) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))))
(+.f64 (*.f64 y (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 (neg.f64 x) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (*.f64 (*.f64 x x) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))))
(+.f64 (*.f64 (*.f64 x (-.f64 x y)) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (*.f64 (*.f64 y y) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (*.f64 (*.f64 x (-.f64 x y)) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))))
(+.f64 (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) x) (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) y) (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (*.f64 x x)) (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (*.f64 x (-.f64 x y))) (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (*.f64 y y)) (*.f64 (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (*.f64 x (-.f64 x y))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ 1 y) #s(literal 1 binary64))))
(*.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ 1 y) #s(literal 1 binary64)))
#s(approx (+ 1 y) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ 1 y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 y) #s(literal 1 binary64))))
(neg.f64 (neg.f64 #s(approx (+ 1 y) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ 1 y) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y))) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 y x))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 y x))) (-.f64 y x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 y x)) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(/.f64 (+.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(neg.f64 (-.f64 (neg.f64 y) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) x)
(fma.f64 #s(literal 1 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) y)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 y x)
(+.f64 x y)

eval189.0ms (2.8%)

Memory
4.5MiB live, 242.2MiB allocated
Compiler

Compiled 13 079 to 1 352 computations (89.7% saved)

prune186.0ms (2.7%)

Memory
-24.3MiB live, 216.7MiB allocated
Pruning

12 alts after pruning (0 fresh and 12 done)

PrunedKeptTotal
New7190719
Fresh000
Picked044
Done088
Total71912731
Accuracy
100.0%
Counts
731 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓53.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)))
✓53.9%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
✓53.3%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
✓54.9%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓46.7%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
✓32.5%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
✓18.8%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
✓2.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
✓19.4%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
✓13.6%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
✓37.8%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 234 to 94 computations (59.8% saved)

regimes23.0ms (0.3%)

Memory
2.4MiB live, 40.7MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Calls

3 calls:

11.0ms
x
5.0ms
y
5.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory
-0.5MiB live, 36.6MiB allocated
Counts
12 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y x))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
Calls

3 calls:

6.0ms
y
4.0ms
x
4.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
77.8%3x
91.5%4y
99.4%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
12.1MiB live, 12.1MiB allocated
Counts
9 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
Calls

1 calls:

3.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.8%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.2%)

Memory
-21.5MiB live, 19.6MiB allocated
Counts
8 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ 1 y)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

7.0ms
y
3.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
90.6%4y
88.5%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
88.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

2.0ms
y
2.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
88.2%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
88.3%3y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
11.4MiB live, 11.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
y
2.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
41.6%3x
54.1%2(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
53.8%3y
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-27.4MiB live, 10.6MiB 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:

3.0ms
x
1.0ms
y
1.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
37.8%1x
37.8%1y
37.8%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000000950417849
2630708341681273.0
0.0ms
4.2883228724972483e-11
8.461893471737299e-9
0.0ms
-594129828307951200.0
-353433760403205.6
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000000950417849
2630708341681273.0
0.0ms
0.000346065156759494
0.9999996791626453
0.0ms
-594129828307951200.0
-353433760403205.6
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch76.0ms (1.1%)

Memory
7.4MiB live, 44.6MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
55.0ms
0.00034618495931170595
10963125.345671706
11.0ms
-34082406.74661119
-0.0006083361764200899
7.0ms
-1.3118391312513905e+57
-2.1430702459483137e+56
Samples
15.0ms416×0valid
Compiler

Compiled 440 to 259 computations (41.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 4.0ms (54.1% of total)
ival-div: 3.0ms (40.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.00034618495931170595
10963125.345671706
1.0ms
-34082406.74661119
-0.0006083361764200899
Compiler

Compiled 332 to 211 computations (36.4% saved)

bsearch10.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
0.00034618495931170595
10963125.345671706
1.0ms
-34082406.74661119
-0.0006083361764200899
Samples
4.0ms112×0valid
Compiler

Compiled 292 to 191 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (46.4% of total)
ival-add: 1.0ms (46.4% 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
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.000346065156759494
0.9999996791626453
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify9.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
4×*-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066393
174393
277393
379393
480393
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -500000000000000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -500000000000000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -250000000000000012086673028888414764382098711472628563968 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 (+ 1 y)) (/.f64 x y))) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 9 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y 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 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -500000000000000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal -500000000000000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal -500000000000000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal -500000000000000000 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -250000000000000012086673028888414764382098711472628563968 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 (+ 1 y)) (/.f64 x y))) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (* (- x 1) (- y 1)) (-.f64 #s(literal 1 binary64) y)) y x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 9 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y 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 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ 1 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

soundness913.0ms (13.3%)

Memory
-20.0MiB live, 626.9MiB allocated
Rules
16 200×lower-fma.f64
16 200×lower-fma.f32
15 160×lower-fma.f64
15 160×lower-fma.f32
12 130×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02922516
19232432
225032216
085102123
088362
1263358
2670338
32442308
08192300
02542805
17462660
220522574
375322573
083502491
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 311 to 130 computations (58.2% saved)

preprocess117.0ms (1.7%)

Memory
-4.1MiB live, 162.9MiB allocated
Compiler

Compiled 426 to 96 computations (77.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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