Data.Colour.SRGB:invTransferFunction from colour-2.3.3

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.1%)

Memory
-17.7MiB live, 20.8MiB 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)

sample718.0ms (8%)

Memory
0.9MiB live, 883.1MiB allocated
Samples
420.0ms8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 219.0ms
ival-add: 149.0ms (68.1% of total)
ival-div: 56.0ms (25.6% of total)
ival-true: 6.0ms (2.7% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain127.0ms (1.4%)

Memory
4.2MiB live, 78.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
91.0ms510×0valid
0.0ms2×1valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 73.0ms (92.4% of total)
ival-add: 5.0ms (6.3% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess52.0ms (0.6%)

Memory
21.6MiB live, 59.8MiB allocated
Algorithm
1×egg-herbie
Rules
402×times-frac
356×associate-*r*
272×div-sub
238×unsub-neg
238×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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%)

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

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Rules
8×lower-+.f32
4×lift-+.f64
4×lower-+.f64
4×+-commutative
2×lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize26.0ms (0.3%)

Memory
-32.6MiB live, 49.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0
(+.f64 x y)
accuracy0.0234375
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
17.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 9.0ms (79.5% of total)
ival-div: 2.0ms (17.7% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

15 calls:

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

simplify284.0ms (3.1%)

Memory
4.8MiB live, 312.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 130×lower-fma.f64
12 130×lower-fma.f32
3 512×lower-+.f64
3 512×lower-+.f32
3 160×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088362
1263358
2670338
32440308
08253300
Stop Event
1×iter limit
1×node limit
Counts
60 → 51
Calls
Call 1
Inputs
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 y x))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

rewrite363.0ms (4%)

Memory
21.9MiB live, 500.7MiB allocated
Rules
5 790×lower-/.f32
5 788×lower-/.f64
5 040×lower-*.f64
5 040×lower-*.f32
2 694×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14313
230713
3374113
0990413
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 471
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 y #s(literal 1 binary64))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 y (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (-.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 (-.f64 x y)))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 y x))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) (fma.f64 x x (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y)) (fma.f64 x x (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (/.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 y (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (+.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 (+.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal -1 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y #s(literal 1 binary64)))))
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(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))

eval156.0ms (1.7%)

Memory
-20.9MiB live, 102.0MiB allocated
Compiler

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

prune121.0ms (1.3%)

Memory
4.2MiB live, 191.1MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New5139522
Fresh000
Picked011
Done000
Total51310523
Accuracy
100.0%
Counts
523 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64)))
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶75.1%
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
▶99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
54.1%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x))
53.6%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
49.1%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
▶51.4%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
▶46.3%
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
▶35.1%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 205 to 122 computations (40.5% saved)

simplify422.0ms (4.7%)

Memory
-8.1MiB live, 299.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 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)))
cost-diff704
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 x (+.f64 y #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
cost-diff0
(+.f64 x y)
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
Rules
13 530×lower-fma.f32
13 528×lower-fma.f64
2 492×lower-*.f32
2 488×lower-*.f64
2 334×lower-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022123
034120
162116
2122116
3270116
4613116
52745116
08165116
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 y #s(literal 1 binary64))
y
(+.f64 x y)
x
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
y
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.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)
(fma.f64 y y #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
(+.f64 x y)
(+.f64 y x)
x
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
y
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (+.f64 y #s(literal -1 binary64)))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 y y #s(literal -1 binary64))

localize123.0ms (1.4%)

Memory
-3.0MiB live, 109.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal -1 binary64))
accuracy0
(+.f64 x y)
accuracy0.01953125
(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
accuracy15.484070399957973
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
accuracy0
(+.f64 x #s(literal -1 binary64))
accuracy0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
accuracy0.0078125
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
accuracy34.3471907792476
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.0078125
(/.f64 x (+.f64 y #s(literal 1 binary64)))
accuracy31.074362138264995
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
accuracy41.50431472249619
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0
(+.f64 x y)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
accuracy0.11166000976844202
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
Samples
60.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 111 to 20 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-add: 35.0ms (73.7% of total)
ival-div: 8.0ms (16.9% of total)
ival-mult: 5.0ms (10.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-12.3MiB live, 37.6MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 y #s(literal 1 binary64))) (patch (/.f64 x (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) y) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#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 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 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- x 1))) x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* x (- (+ y (/ (* y (- y 1)) x)) 1)) (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 (- (+ y (/ (* y (- y 1)) x)) 1)) (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 (- (+ y (/ (* y (- y 1)) x)) 1)) (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 (- y 1)) (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 1)) (* -1 (/ (* y (- y 1)) x))))) (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 1)) (* -1 (/ (* y (- y 1)) x))))) (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 1)) (* -1 (/ (* y (- y 1)) x))))) (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) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- x 1))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- (+ x y) 1))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- (+ x y) 1))) (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 (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 (* (pow y 2) (- (+ 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 (* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ 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 (* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ 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 (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 (* (pow y 2) (- (+ 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 (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 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 (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 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 (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

72 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
1.0ms
y
@inf
(/ x (+ y 1))
1.0ms
x
@inf
(/ x (+ y 1))
1.0ms
x
@-inf
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
0.0ms
x
@inf
(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))

simplify627.0ms (7%)

Memory
20.1MiB live, 456.3MiB allocated
Algorithm
1×egg-herbie
Rules
18 190×lower-fma.f64
18 190×lower-fma.f32
3 998×lower-*.f64
3 998×lower-*.f32
3 490×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02482373
17472192
221062059
082822013
Stop Event
1×iter limit
1×node limit
Counts
288 → 270
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
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ (* y (- y 1)) (- (pow y 2) 1))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(/ (* x (- y 1)) (- (pow y 2) 1))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(/ (* x (- y 1)) (- (pow y 2) 1))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
x
(+ x (* -1 (* y (- x 1))))
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1)))))
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x)))))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y))
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- (+ 1 (/ x y)) (/ 1 y))
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y)))
(* y (- y 1))
(+ (* x (- y 1)) (* y (- y 1)))
(+ (* x (- y 1)) (* y (- y 1)))
(+ (* x (- y 1)) (* y (- y 1)))
(* x (- y 1))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(* -1 x)
(+ (* -1 x) (* y (- x 1)))
(+ (* -1 x) (* y (- (+ x y) 1)))
(+ (* -1 x) (* y (- (+ x y) 1)))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))
(pow y 2)
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
Outputs
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 (-.f64 (*.f64 x y) y) (+.f64 y #s(literal -1 binary64)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (-.f64 (fma.f64 (-.f64 y (*.f64 x y)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #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 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
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(/.f64 #s(literal -1 binary64) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(- (/ x y) (/ 1 y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(/ (- x 1) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(/ (* y (- y 1)) (- (pow y 2) 1))
(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(*.f64 (+.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(*.f64 (+.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(+ (* x (- (/ y (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1)))) (/ (* y (- y 1)) (- (pow y 2) 1)))
(*.f64 (+.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/ (* x (- y 1)) (- (pow y 2) 1))
(/.f64 (-.f64 (*.f64 x y) x) (fma.f64 y y #s(literal -1 binary64)))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(*.f64 (+.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(*.f64 (+.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(* x (- (+ (/ y (- (pow y 2) 1)) (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (/ 1 (- (pow y 2) 1))))
(*.f64 (+.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/ (* x (- y 1)) (- (pow y 2) 1))
(/.f64 (-.f64 (*.f64 x y) x) (fma.f64 y y #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(*.f64 (+.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(*.f64 (+.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (* -1 (/ (- y 1) (- (pow y 2) 1))))))
(*.f64 (+.f64 x y) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
x
(+ x (* -1 (* y (- x 1))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (+ (* -1 (* y (+ 1 (* -1 x)))) (* -1 (- x 1)))))
(fma.f64 (-.f64 (*.f64 x y) y) (+.f64 y #s(literal -1 binary64)) x)
(+ x (* y (+ (* -1 (- x 1)) (* y (- (* y (- 1 x)) (+ 1 (* -1 x)))))))
(fma.f64 y (-.f64 (fma.f64 (-.f64 y (*.f64 x y)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (/ x y)))) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y))
(- (+ 1 (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) y))
(+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)) y))
(* y (- y 1))
(-.f64 (*.f64 y y) y)
(+ (* x (- y 1)) (* y (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(+ (* x (- y 1)) (* y (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(+ (* x (- y 1)) (* y (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(* x (- (+ y (/ (* y (- y 1)) x)) 1))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (* y (- y 1)) x)))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* y (- x 1)))
(-.f64 (-.f64 (*.f64 x y) y) x)
(+ (* -1 x) (* y (- (+ x y) 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(+ (* -1 x) (* y (- (+ x y) 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 x y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))
(fma.f64 y (+.f64 x y) (neg.f64 y))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))
(fma.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) (-.f64 (*.f64 x y) y))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ x (pow y 2))) (/ x y))) (/ 1 y)))
(fma.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) (-.f64 (*.f64 x y) y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- (+ 1 (/ x y)) (/ 1 y)))
(fma.f64 y (+.f64 x y) (neg.f64 y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))
(fma.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) (-.f64 (*.f64 x y) y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (/ x y)) y))))
(fma.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) (-.f64 (*.f64 x y) y))
-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))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))

rewrite307.0ms (3.4%)

Memory
6.1MiB live, 367.9MiB allocated
Rules
4 828×lower-/.f32
4 820×lower-/.f64
3 748×lower-*.f32
3 744×lower-*.f64
3 468×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02299
03492
115192
2122792
0879692
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 940
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
(+.f64 x y)
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
(+.f64 y #s(literal -1 binary64))
Outputs
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (+.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 x y)) (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 #s(literal -1 binary64) y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))
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(*.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (fma.f64 (*.f64 y (+.f64 y x)) (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 (-.f64 (neg.f64 y) x) (*.f64 (+.f64 y x) (+.f64 y x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x)) (-.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (*.f64 y (+.f64 y x)) (-.f64 (neg.f64 y) x))))))
(*.f64 (-.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 (+.f64 y x) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (+.f64 y x))))
(*.f64 (*.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (*.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (+.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(+.f64 y #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) y)
(+.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(-.f64 y #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.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 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(expm1.f64 (*.f64 (log.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))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) y (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (fma.f64 y 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 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (neg.f64 y)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 y 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 (fma.f64 y y #s(literal 1 binary64)) y))))

eval212.0ms (2.3%)

Memory
17.1MiB live, 325.0MiB allocated
Compiler

Compiled 26 603 to 2 460 computations (90.8% saved)

prune229.0ms (2.5%)

Memory
-18.0MiB live, 354.1MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1 34461 350
Fresh134
Picked235
Done011
Total1 347131 360
Accuracy
100.0%
Counts
1 360 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.9%
(/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64)))
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓75.1%
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
▶53.5%
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
53.9%
(*.f64 #s(approx (/ 1 (+ y 1)) #s(literal 1 binary64)) (+.f64 x y))
▶53.6%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
▶49.1%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓51.4%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
46.6%
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
51.4%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))
14.2%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
▶38.9%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
✓35.1%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 217 to 122 computations (43.8% saved)

simplify668.0ms (7.4%)

Memory
8.6MiB live, 232.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
cost-diff0
(*.f64 x y)
cost-diff0
(-.f64 x (*.f64 x y))
cost-diff0
#s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
cost-diff0
(/.f64 x (-.f64 x y))
cost-diff128
(neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))
cost-diff384
(/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64)))
cost-diff896
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
Rules
8 976×lower-fma.f32
8 972×lower-fma.f64
3 056×lower--.f32
3 048×lower--.f64
2 200×lower-*.f32
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
029186
048186
185186
2130183
3225183
4530183
51423183
63105181
73994181
84408181
94468181
104474181
114474177
124930177
135280177
145424177
155668177
165868177
175922177
186308177
08108177
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
x
(/.f64 x (-.f64 x y))
(-.f64 x y)
y
(neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))
(/.f64 (*.f64 y y) (-.f64 x y))
(*.f64 y y)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y)))
(-.f64 x (*.f64 x y))
x
(*.f64 x y)
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x y)
x
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y #s(literal 1 binary64))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
x
(/.f64 x (-.f64 x y))
(-.f64 x y)
y
(neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))
(*.f64 y (/.f64 y (-.f64 y x)))
(/.f64 (*.f64 y y) (-.f64 x y))
(*.f64 y (/.f64 y (-.f64 x y)))
(*.f64 y y)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y)))
(-.f64 x (*.f64 x y))
x
(*.f64 x y)
y
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) y))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(+.f64 x y)
x
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)

localize326.0ms (3.6%)

Memory
-14.3MiB live, 115.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.00390625
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy32.34657107306998
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(+.f64 x y)
accuracy0.10775375976844202
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
accuracy29.493792526531184
#s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.01171875
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
accuracy29.689896234328824
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
accuracy0
(*.f64 x y)
accuracy0.00390625
(-.f64 x (*.f64 x y))
accuracy29.428384162355385
#s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y)))
accuracy30.87262894647169
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
accuracy0.0078125
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
accuracy0.015625
(/.f64 x (-.f64 x y))
accuracy0.01953125
(/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64)))
accuracy17.438270008468695
(/.f64 (*.f64 y y) (-.f64 x y))
Samples
217.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 152 to 26 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
ival-div: 101.0ms (49.7% of total)
ival-sub: 89.0ms (43.8% of total)
ival-mult: 7.0ms (3.4% of total)
ival-add: 4.0ms (2% of total)
ival-neg: 1.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
-4.6MiB live, 33.2MiB allocated
Counts
19 → 396
Calls
Call 1
Inputs
#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))) (patch (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))) (patch #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 x y)) (patch (-.f64 x (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (patch (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) (patch (*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ 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 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y y) (-.f64 x y)) (patch (/.f64 (*.f64 y y) (-.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt y (taylor 0 x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 y)) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 y)) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 y)) (taylor 0 x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2)))))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2)))))) (taylor inf y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1))) (taylor -inf y) (#s(alt (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (patch (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.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 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.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 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.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 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.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 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 2) (+ 1 y)))) (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 2) (+ 1 y)))) (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.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 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.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 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.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 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- 1 x))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.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 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (/ (+ (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y y) (-.f64 x y)) (patch (/.f64 (*.f64 y y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 5) x)) (* -1 (pow y 4))) x)) (pow y 3)) x)) (* -1 (pow y 2))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y y) (-.f64 x y)) (patch (/.f64 (*.f64 y y) (-.f64 x y)) #<representation binary64>) () ())) ())
Calls

99 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(+ (* x (/ x (- x y))) (neg (/ (* y y) (- x y))))
1.0ms
x
@0
(+ (* x (/ x (- x y))) (neg (/ (* y y) (- x y))))
1.0ms
x
@-inf
(+ (* x (/ x (- x y))) (neg (/ (* y y) (- x y))))
1.0ms
y
@0
(+ (* x (/ x (- x y))) (neg (/ (* y y) (- x y))))
1.0ms
x
@inf
(+ (* x (/ x (- x y))) (neg (/ (* y y) (- x y))))

simplify281.0ms (3.1%)

Memory
-0.9MiB live, 359.4MiB allocated
Algorithm
1×egg-herbie
Rules
8 364×lower-fma.f64
8 364×lower-fma.f32
3 444×lower-*.f64
3 444×lower-*.f32
3 110×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04813734
115343468
244983328
085013124
Stop Event
1×iter limit
1×node limit
Counts
396 → 369
Calls
Call 1
Inputs
y
(- x (* -1 y))
(- x (* -1 y))
(- x (* -1 y))
x
(* x (+ 1 (/ y x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 2) (+ 1 y)))) (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))))
(* x (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 2) (+ 1 y)))) (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
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Outputs
y
(- x (* -1 y))
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(- x (* -1 y))
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(- x (* -1 y))
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x
(* x (+ 1 (/ y x)))
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(fma.f64 x (/.f64 y x) x)
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(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
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(fma.f64 y (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) (/.f64 (*.f64 x x) (*.f64 y y))) y)
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(fma.f64 y (-.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) (/.f64 (*.f64 x x) (*.f64 y y))) y)
y
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(fma.f64 y (/.f64 x y) y)
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(* x (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 2) (+ 1 y)))) (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))))
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(* x (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 2) (+ 1 y)))) (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))))
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(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
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1
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(+.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))))
(- (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (+ (/ x (pow y 3)) (/ (pow x 2) (pow y 2))))))) (+ (* -1 (/ (pow x 2) (pow y 3))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (+ (/ x (pow y 2)) (/ (pow x 2) (pow y 3)))))))
(+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x (*.f64 y y)) (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) (/.f64 x (*.f64 y (*.f64 y y))))) (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
1
#s(literal 1 binary64)
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(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 (/.f64 x y) x) y)
(* y (- 1 x))
(-.f64 y (*.f64 y x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 (/.f64 x y) x) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 (/.f64 x y) x) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 (/.f64 x y) x) y)
y
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* -1 y)))
(fma.f64 y (neg.f64 x) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* -1 (* x (- y 1)))
(fma.f64 y (neg.f64 x) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (fma.f64 y (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 y (+.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (+.f64 x #s(literal -1 binary64)) 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 #s(literal 1 binary64) (+.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (*.f64 y (*.f64 y y)))) (+.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) y))
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) y)
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)
(* -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 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)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(fma.f64 x (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (fma.f64 y (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (fma.f64 y (+.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (+.f64 x #s(literal -1 binary64)) 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 #s(literal 1 binary64) (+.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (*.f64 y (*.f64 y y)))) (+.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) y)) y))
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* y (- y 1))))
(fma.f64 y (-.f64 (*.f64 y y) y) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(/ (pow y 2) x)
(*.f64 y (/.f64 y x))
(* (pow y 2) (+ (/ 1 x) (/ y (pow x 2))))
(*.f64 y (/.f64 (fma.f64 y (/.f64 y x) y) x))
(* (pow y 2) (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(*.f64 y (/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 y x) y) x) y) x))
(* (pow y 2) (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 y (*.f64 x (*.f64 x x)))) (/.f64 y (*.f64 x x))) (/.f64 y x)))
(* -1 y)
(neg.f64 y)
(* y (- (* -1 (/ x y)) 1))
(neg.f64 (fma.f64 y (/.f64 x y) y))
(* y (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))))
(neg.f64 (fma.f64 y (/.f64 (fma.f64 x (/.f64 x y) x) y) y))
(* y (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))))
(*.f64 y (-.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y (neg.f64 y)))) #s(literal -1 binary64)) (/.f64 (fma.f64 x (/.f64 x y) x) y)))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (/ x y))))
(neg.f64 (fma.f64 y (/.f64 x y) y))
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y)))))
(neg.f64 (fma.f64 y (/.f64 (fma.f64 x (/.f64 x y) x) y) y))
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y)))))
(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 x y) x) y) x) y)))
(* -1 y)
(neg.f64 y)
(+ (* -1 x) (* -1 y))
(-.f64 (neg.f64 y) x)
(+ (* -1 y) (* x (- (* -1 (/ x y)) 1)))
(-.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(+ (* -1 y) (* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
(-.f64 (neg.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 x y) x) y) x)) y)
(/ (pow y 2) x)
(*.f64 y (/.f64 y x))
(/ (+ (/ (pow y 3) x) (pow y 2)) x)
(*.f64 y (/.f64 (fma.f64 y (/.f64 y x) y) x))
(/ (- (+ (/ (pow y 4) (pow x 2)) (pow y 2)) (* -1 (/ (pow y 3) x))) x)
(/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x)) x)
(/ (- (+ (/ (pow y 5) (pow x 3)) (pow y 2)) (+ (* -1 (/ (pow y 3) x)) (* -1 (/ (pow y 4) (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x))) x)
(/ (pow y 2) x)
(*.f64 y (/.f64 y x))
(* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))
(*.f64 y (/.f64 (fma.f64 y (/.f64 y x) y) x))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x))
(/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 5) x)) (* -1 (pow y 4))) x)) (pow y 3)) x)) (* -1 (pow y 2))) x))
(/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal 5 binary64)) x)) x)) x)) x)

rewrite454.0ms (5%)

Memory
16.9MiB live, 439.3MiB allocated
Rules
5 632×lower-/.f32
5 624×lower-/.f64
4 244×lower-fma.f32
4 240×lower-fma.f64
3 682×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029164
048176
1193140
21462140
08428140
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 1 006
Calls
Call 1
Inputs
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))
(/.f64 x (-.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y)))
(-.f64 x (*.f64 x y))
(*.f64 x y)
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(+.f64 x y)
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
(/.f64 (*.f64 y y) (-.f64 x y))
Outputs
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) (-.f64 x y))))
(-.f64 (fma.f64 x (/.f64 x (-.f64 x y)) #s(literal 0 binary64)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 (-.f64 x y) (*.f64 y (neg.f64 y))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (-.f64 x y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 y y)))) (/.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))) (*.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 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y))))
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 y (neg.f64 (/.f64 y (-.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 y (/.f64 y (neg.f64 (-.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 x (-.f64 x y)) x (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (*.f64 y y) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (neg.f64 y) (/.f64 y (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 y (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 x (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 y (neg.f64 y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 y (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (neg.f64 y) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 y (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (neg.f64 y) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 x (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 x (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 y y) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 (neg.f64 y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 (neg.f64 y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 y (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (*.f64 x x) (-.f64 x y)))
(fma.f64 (/.f64 (neg.f64 y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 y (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))) (*.f64 (-.f64 x y) (-.f64 x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y)))) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)) (fma.f64 (*.f64 y y) (-.f64 x y) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))) (fma.f64 (*.f64 x x) (neg.f64 (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fma.f64 (*.f64 x x) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 y (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))) (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 y (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))) (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y)) (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y)))) (+.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y)))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y)))) (+.f64 x y)) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))) (*.f64 (-.f64 x y) (-.f64 x y)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) (-.f64 x y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (fma.f64 (*.f64 y y) (-.f64 x y) (*.f64 (neg.f64 (-.f64 x y)) (*.f64 x x))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (fma.f64 (*.f64 y (neg.f64 y)) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 x x))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (fma.f64 (*.f64 x x) (-.f64 x y) (*.f64 (-.f64 x y) (*.f64 y (neg.f64 y)))) (*.f64 (-.f64 x y) (-.f64 x 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 x x) (/.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) #s(literal 1 binary64))) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (*.f64 y (neg.f64 y)))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y)))) (+.f64 x y))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) (/.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 x x)) (-.f64 x y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y)))) (+.f64 x y))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))) (*.f64 (-.f64 x y) (-.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) (-.f64 x y)))) (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) (-.f64 x y))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (-.f64 x y))) (+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
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(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 y y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 y y) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x y) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 y (neg.f64 y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (neg.f64 y)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))
(*.f64 y (/.f64 y (-.f64 x y)))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (-.f64 x y)) y)
(*.f64 (/.f64 y (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 y (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 y (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 y (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 y (-.f64 x y)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 x y)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y (-.f64 x y)))
(*.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

eval295.0ms (3.3%)

Memory
36.6MiB live, 348.4MiB allocated
Compiler

Compiled 39 696 to 3 046 computations (92.3% saved)

prune223.0ms (2.5%)

Memory
-13.5MiB live, 441.0MiB allocated
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New1 42431 427
Fresh134
Picked145
Done044
Total1 426141 440
Accuracy
100.0%
Counts
1 440 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓75.1%
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
✓53.5%
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
✓53.6%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
▶53.9%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
✓49.1%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓51.4%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
▶46.6%
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
▶51.4%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))
▶16.1%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
▶14.2%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
✓38.9%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
53.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* y (- 1 x)) x) (fma.f64 x (-.f64 (/.f64 y x) y) x)))
✓35.1%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 181 to 96 computations (47% saved)

simplify54.0ms (0.6%)

Memory
7.0MiB live, 44.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ (+ x -1) y) (/.f64 x y))
cost-diff0
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ y 1)) (/.f64 x y))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
cost-diff0
(*.f64 y y)
cost-diff0
(-.f64 y (*.f64 y y))
cost-diff0
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
Rules
688×lower-fma.f32
686×lower-fma.f64
408×lower-*.f32
404×lower-*.f64
212×lower-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029180
038178
158176
273176
3107176
4144176
5223176
6330176
7484176
8834176
91042176
101189176
111234176
121254176
131255176
01255176
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
y
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ x (+ y 1)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
#s(literal 1 binary64)
#s(approx (/ (+ x -1) y) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
y
x
Outputs
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
y
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ x (+ y 1)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
#s(literal 1 binary64)
#s(approx (/ (+ x -1) y) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
x

localize77.0ms (0.9%)

Memory
-29.9MiB live, 166.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
accuracy0.10546875
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
accuracy31.074362138264995
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))
accuracy0
(/.f64 x y)
accuracy0
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
accuracy32.94211892190145
#s(approx (/ (+ x -1) y) (/.f64 x y))
accuracy34.3471907792476
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
accuracy0
(/.f64 x y)
accuracy31.074362138264995
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
accuracy34.073033870675886
#s(approx (/ x (+ y 1)) (/.f64 x y))
accuracy0
(*.f64 y y)
accuracy0.01171875
(-.f64 y (*.f64 y y))
accuracy29.69424771136408
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
accuracy32.55125369186087
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
accuracy0.015625
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
accuracy29.689896234328824
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
accuracy30.72771943335922
#s(approx (- 1 x) #s(literal 1 binary64))
Samples
40.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 110 to 23 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 9.0ms (37.5% of total)
ival-add: 7.0ms (29.2% of total)
ival-mult: 5.0ms (20.8% of total)
ival-sub: 2.0ms (8.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
31.8MiB live, 31.8MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (patch (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))) (patch #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))) #<representation binary64>) () ())
#s(alt (-.f64 y (*.f64 y y)) (patch (-.f64 y (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (patch #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ y 1)) (/.f64 x y)) (patch #s(approx (/ x (+ y 1)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (patch #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) (patch (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x -1) y) (/.f64 x y)) (patch #s(approx (/ (+ x -1) y) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 y)) (/ y (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (/ x y)) (/ 1 y)) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- y 1))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 y)) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
Calls

84 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ x y)
0.0ms
y
@-inf
(/ x y)
0.0ms
y
@0
(* y y)
0.0ms
y
@inf
(- y (* y y))
0.0ms
x
@0
(/ x y)

simplify373.0ms (4.1%)

Memory
8.3MiB live, 363.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 724×lower-fma.f64
13 724×lower-fma.f32
3 444×lower-*.f64
3 444×lower-*.f32
2 684×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01932537
15772434
214572360
353682360
081332290
Stop Event
1×iter limit
1×node limit
Counts
336 → 323
Calls
Call 1
Inputs
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
x
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(+ x (* y (- 1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- (+ 1 (/ x y)) x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
y
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(+ y (* x (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
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(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(- 1 (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(/ (- x 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
(/ (- (+ x y) 1) y)
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (/ x y)) (/ 1 y))
(/ -1 y)
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(- (/ x y) (/ 1 y))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
(/ (- x 1) y)
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ y (+ 1 y))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(/ x (+ 1 y))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(/ x (+ 1 y))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
x
(+ x (* y (- 1 x)))
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
1
(- (+ 1 (/ x y)) (/ 1 y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
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1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/ 1 y)
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(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (-.f64 (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) x) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (/.f64 x y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y (*.f64 y y))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)) y))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- 1 x))
(-.f64 y (*.f64 y x))
(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* y (- 1 x))
(-.f64 y (*.f64 y x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
y
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* -1 y)))
(fma.f64 y (neg.f64 x) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* -1 (* x (- y 1)))
(fma.f64 y (neg.f64 x) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 x (-.f64 (/.f64 y x) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+ (/ x (+ 1 y)) (/ y (+ 1 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))
(+.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
x
(+ x (* y (- 1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
(+ x (* y (- (+ 1 (* y (- x 1))) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) x)
(+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))
(fma.f64 y (-.f64 (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) x) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (/.f64 x y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y (*.f64 y y))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)) y))
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* y (- y 1))))
(fma.f64 y (-.f64 (*.f64 y y) y) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
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 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
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(+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(fma.f64 y y (-.f64 #s(literal 1 binary64) y))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

rewrite332.0ms (3.7%)

Memory
-25.0MiB live, 329.1MiB allocated
Rules
4 740×lower-/.f32
4 736×lower-/.f64
4 510×lower-fma.f32
4 508×lower-fma.f64
4 122×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029165
038161
1174161
21218161
08384161
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 324
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y)))
(-.f64 y (*.f64 y y))
(*.f64 y y)
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ x (+ y 1)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))
#s(approx (/ (+ x -1) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
Outputs
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
(+.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))
(+.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) x)
(+.f64 (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)))))
(-.f64 (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))
(fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))
(fma.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))) (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))) (fma.f64 x x (fma.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))))) (neg.f64 (fma.f64 x x (fma.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)))) (neg.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))) (*.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))) (fma.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))) (fma.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) x))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 x x)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))) (neg.f64 (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 y y) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))))
(*.f64 (*.f64 (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 x))))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y y) y) (-.f64 (*.f64 y y) y)))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 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) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #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 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #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 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.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)))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y y)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.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 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (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) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y #s(literal -1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y))))

eval143.0ms (1.6%)

Memory
13.6MiB live, 162.7MiB allocated
Compiler

Compiled 10 967 to 1 048 computations (90.4% saved)

prune149.0ms (1.7%)

Memory
0.1MiB live, 151.8MiB allocated
Pruning

16 alts after pruning (4 fresh and 12 done)

PrunedKeptTotal
New6903693
Fresh011
Picked055
Done178
Total69116707
Accuracy
100.0%
Counts
707 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓75.1%
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
✓53.5%
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
✓53.6%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
✓53.9%
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
✓49.1%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
✓51.4%
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
✓46.6%
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
✓51.4%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))
38.9%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) x))
39.5%
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
✓16.1%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
2.6%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
✓14.2%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
53.5%
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* y (- 1 x)) x) (fma.f64 x (-.f64 (/.f64 y x) y) x)))
✓35.1%
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Compiler

Compiled 314 to 127 computations (59.6% saved)

regimes25.0ms (0.3%)

Memory
-17.7MiB live, 56.9MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ 1 (+ y 1)) #s(literal 1 binary64)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x))
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (+ (* y (- 1 x)) x) (fma.f64 x (-.f64 (/.f64 y x) y) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))
(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Calls

3 calls:

9.0ms
x
7.0ms
y
7.0ms
(/.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)

regimes22.0ms (0.2%)

Memory
9.2MiB live, 47.1MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ 1 (+ y 1)) #s(literal 1 binary64)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
Calls

3 calls:

10.0ms
y
5.0ms
x
5.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
79.0%5x
98.2%3y
99.0%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ 1 (+ y 1)) #s(literal 1 binary64)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
98.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-20.1MiB live, 16.1MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ 1 (+ y 1)) #s(literal 1 binary64)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
Outputs
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
97.9%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
11 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ 1 (+ y 1)) #s(literal 1 binary64)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
(*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
y
4.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
87.9%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
88.4%4y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-12.7MiB live, 24.9MiB allocated
Counts
10 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ 1 (+ y 1)) #s(literal 1 binary64)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y)))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
y
4.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
87.5%4(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
87.8%4y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-1.7MiB live, 30.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(approx (- y (* y y)) (*.f64 y (neg.f64 y)))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (-.f64 x (*.f64 x y))))
#s(approx (/ (+ x y) (+ y 1)) #s(approx (/ y (+ y 1)) (-.f64 y (*.f64 y y))))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ 1 (+ y 1)) #s(literal 1 binary64)) (+.f64 x y))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

2 calls:

7.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms
y
Results
AccuracySegmentsBranch
85.5%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
85.8%3y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
Outputs
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
52.5%5x
70.8%3(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
70.9%3y
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-29.4MiB live, 14.7MiB 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:

9.0ms
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
35.1%1x
35.1%1(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
35.1%1y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch26.0ms (0.3%)

Memory
18.2MiB live, 55.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.234693118105145e-5
22.908274438756337
10.0ms
-26882.045896300555
-1.4508004071340047e-5
Samples
13.0ms288×0valid
Compiler

Compiled 453 to 281 computations (38% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (60.2% of total)
ival-div: 2.0ms (40.1% 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
3.2MiB live, 3.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.234693118105145e-5
22.908274438756337
1.0ms
-26882.045896300555
-1.4508004071340047e-5
Compiler

Compiled 399 to 263 computations (34.1% saved)

bsearch10.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
6.234693118105145e-5
22.908274438756337
1.0ms
-26882.045896300555
-1.4508004071340047e-5
Samples
4.0ms112×0valid
Compiler

Compiled 390 to 245 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (53.4% of total)
ival-add: 1.0ms (53.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
-13.8MiB live, 23.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.234693118105145e-5
22.908274438756337
1.0ms
-26882.045896300555
-1.4508004071340047e-5
24.0ms
-1.1004419372143072e+60
-4.445294340450624e+53
Samples
19.0ms144×0valid
Compiler

Compiled 444 to 281 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (38.3% of total)
ival-add: 1.0ms (38.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
-17.2MiB live, 19.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
712.4462359864214
44794.78934377687
1.0ms
-26882.045896300555
-1.4508004071340047e-5
1.0ms
-1.1004419372143072e+60
-4.445294340450624e+53
Samples
4.0ms112×0valid
Compiler

Compiled 380 to 227 computations (40.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (54% of total)
ival-add: 1.0ms (54% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
712.4462359864214
44794.78934377687
1.0ms
-26882.045896300555
-1.4508004071340047e-5
Compiler

Compiled 236 to 155 computations (34.3% saved)

bsearch5.0ms (0.1%)

Memory
11.1MiB live, 11.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
712.4462359864214
44794.78934377687
1.0ms
-26882.045896300555
-1.4508004071340047e-5
Samples
2.0ms48×0valid
Compiler

Compiled 220 to 155 computations (29.5% saved)

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

simplify18.0ms (0.2%)

Memory
-15.3MiB live, 26.4MiB allocated
Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
8×*-commutative_binary64
6×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067398
182398
286398
388398
489398
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 y #s(literal -479999999999999996746055363693581428701620052133150720 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -479999999999999996746055363693581428701620052133150720 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (if (<=.f64 y #s(literal 920 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 920 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 720 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))
Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 (-.f64 (*.f64 x y) y) (+.f64 y #s(literal -1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 x y) #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y)))) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (*.f64 (+.f64 x y) #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ x -1) y) (/.f64 x y))))))
(if (<=.f64 y #s(literal -479999999999999996746055363693581428701620052133150720 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y)) (+.f64 x y)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -479999999999999996746055363693581428701620052133150720 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 x y) #s(approx (/ 1 (+ y 1)) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -479999999999999996746055363693581428701620052133150720 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(approx (/ x (+ y 1)) (/.f64 x y))) (if (<=.f64 y #s(literal 920 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 920 binary64)) #s(approx (/ (+ x y) (+ y 1)) (fma.f64 y #s(approx (- 1 x) #s(literal 1 binary64)) x)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 720 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)) 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 720 binary64)) #s(approx (/ (+ x y) (+ y 1)) (*.f64 x #s(approx (/ 1 (+ 1 y)) #s(literal 1 binary64)))) #s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (+ y 1)) #s(literal 1 binary64))

soundness1.5s (16.3%)

Memory
19.8MiB live, 951.2MiB allocated
Rules
18 190×lower-fma.f64
18 190×lower-fma.f32
13 724×lower-fma.f64
13 724×lower-fma.f32
12 130×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01932537
15772434
214572360
353682360
081332290
02299
03492
115192
2122792
0879692
0613
0913
14313
230713
3374113
0990413
088362
1263358
2670338
32440308
08253300
04813734
115343468
244983328
085013124
02482373
17472192
221062059
082822013
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 415 to 191 computations (54% saved)

preprocess88.0ms (1%)

Memory
-24.7MiB live, 175.8MiB allocated
Compiler

Compiled 412 to 102 computations (75.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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