Data.Colour.RGB:hslsv from colour-2.3.3, C

Time bar (total: 9.2s)

analyze18.0ms (0.2%)

Memory
0.8MiB live, 38.7MiB 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
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
79.7%79.6%20.3%0.1%0%0%0%7
83.6%83.5%16.4%0.1%0%0%0%8
90.2%90.1%9.8%0.1%0%0%0%9
92%91.9%8%0.1%0%0%0%10
95.2%95.1%4.8%0.1%0%0%0%11
96%96%4%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.6s (17.3%)

Memory
21.9MiB live, 973.5MiB allocated
Samples
943.0ms8 254×0valid
2.0ms2×2valid
Precisions
Click to see histograms. Total time spent on operations: 532.0ms
ival-sub: 402.0ms (75.5% of total)
ival-add: 62.0ms (11.7% of total)
ival-div: 54.0ms (10.1% of total)
ival-true: 6.0ms (1.1% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess377.0ms (4.1%)

Memory
-15.6MiB live, 67.0MiB allocated
Algorithm
1×egg-herbie
Rules
464×lower-fma.f64
464×lower-fma.f32
312×unsub-neg
260×div-sub
226×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951
16647
216846
349445
4109545
5163245
6188545
7199145
8204945
9206245
079
0119
1219
2389
3799
41869
53469
66169
79049
89489
99649
109659
09659
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

explain328.0ms (3.6%)

Memory
-14.0MiB live, 101.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(+.f64 x y)
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
00-0-(-.f64 #s(literal 2 binary64) (+.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
25.0ms510×0valid
0.0ms2×2valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 5.0ms (42.4% of total)
ival-div: 3.0ms (25.4% of total)
ival-add: 3.0ms (25.4% 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)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify49.0ms (0.5%)

Memory
2.8MiB live, 42.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Rules
464×lower-fma.f64
464×lower-fma.f32
224×lower-*.f64
224×lower-*.f32
152×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12123
23823
37923
418623
534623
661623
790423
894823
996423
1096523
096523
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)

localize25.0ms (0.3%)

Memory
-2.8MiB live, 35.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Samples
18.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (28.4% of total)
ival-add: 2.0ms (28.4% of total)
ival-sub: 2.0ms (28.4% 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)

series7.0ms (0.1%)

Memory
17.1MiB live, 17.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* 2 x) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -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 (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 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 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- 2 y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- 2 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<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>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/ (- x y) (- 2 (+ x y)))
1.0ms
y
@inf
(/ (- x y) (- 2 (+ x y)))
1.0ms
x
@0
(/ (- x y) (- 2 (+ x y)))
1.0ms
x
@inf
(/ (- x y) (- 2 (+ x y)))
1.0ms
y
@0
(/ (- x y) (- 2 (+ x y)))

rewrite360.0ms (3.9%)

Memory
-13.9MiB live, 578.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 750×lower-fma.f64
4 750×lower-fma.f32
4 670×lower-*.f64
4 670×lower-*.f32
4 200×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
16020
252520
3775220
0847420
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 607
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 y #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y)) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y))) (/.f64 (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(fma.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(fma.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 #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 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64)) (-.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))

simplify416.0ms (4.5%)

Memory
2.8MiB live, 640.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 038×lower-fma.f64
12 038×lower-fma.f32
4 472×lower-*.f64
4 472×lower-*.f32
2 680×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186985
1571921
21809857
37607851
08573806
Stop Event
1×iter limit
1×node limit
Counts
96 → 87
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) 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)))
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (fma.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))) (/.f64 x (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y #s(literal -2 binary64)))))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))))))) (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) y) #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y) #s(literal -2 binary64))) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (/.f64 (*.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 y (/.f64 x y) (neg.f64 y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) x) x) x)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 2 binary64) x) y)) 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)

eval121.0ms (1.3%)

Memory
25.6MiB live, 179.8MiB allocated
Compiler

Compiled 19 528 to 1 840 computations (90.6% saved)

prune196.0ms (2.1%)

Memory
-29.6MiB live, 219.2MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New68113694
Fresh000
Picked011
Done000
Total68114695
Accuracy
100.0%
Counts
695 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.8%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶63.5%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
42.2%
(/.f64 (-.f64 x y) (neg.f64 y))
37.6%
(/.f64 (-.f64 x y) (neg.f64 x))
46.6%
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
51.9%
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶51.6%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
49.3%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
42.4%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
▶99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
41.8%
#s(literal 1 binary64)
▶37.3%
#s(literal -1 binary64)
Compiler

Compiled 261 to 171 computations (34.5% saved)

simplify102.0ms (1.1%)

Memory
30.1MiB live, 110.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
✓cost-diff0
(-.f64 #s(literal 2 binary64) y)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓cost-diff0
(+.f64 y #s(literal -2 binary64))
✓cost-diff0
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Rules
1 264×lower-fma.f64
1 264×lower-fma.f32
630×div-sub
576×lower-*.f32
574×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01795
02895
14891
28491
319791
444091
591891
6182991
7227291
8273791
9279291
10282691
11282691
0282691
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(literal -1 binary64)
(/.f64 y (+.f64 y #s(literal -2 binary64)))
y
(+.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(literal 1 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)
#s(literal -1 binary64)
(/.f64 y (+.f64 y #s(literal -2 binary64)))
y
(+.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(literal 1 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
x
y
(-.f64 x y)

localize94.0ms (1%)

Memory
-18.6MiB live, 94.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓accuracy100.0%
(+.f64 y #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓accuracy100.0%
(+.f64 x y)
✓accuracy99.9%
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
Samples
32.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 8.0ms (47.7% of total)
ival-sub: 4.0ms (23.8% of total)
ival-add: 3.0ms (17.9% of total)
ival-mult: 1.0ms (6% 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)

series15.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
11 → 228
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 y #s(literal -2 binary64))) (patch (/.f64 y (+.f64 y #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal -2 binary64)) (patch (+.f64 y #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* 2 x) 2) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- 2 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- 2 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
Calls

57 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 1 (- 2 (+ x y)))
1.0ms
y
@0
(/ (- 2 (+ x y)) (- x y))
0.0ms
x
@0
(/ (- 2 (+ x y)) (- x y))
0.0ms
x
@-inf
(/ (- x y) (- 2 y))
0.0ms
y
@inf
(/ (- 2 (+ x y)) (- x y))

rewrite389.0ms (4.2%)

Memory
1.9MiB live, 518.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 508×lower-/.f32
4 498×lower-/.f64
4 040×lower-*.f32
4 038×lower-*.f64
3 958×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01667
02767
112963
2103363
0873663
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 1 153
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+.f64 y #s(literal -2 binary64))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(-.f64 x y)
(-.f64 #s(literal 2 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Outputs
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x))
(+.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 x (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) y))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))
(/.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))
(/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (neg.f64 y) x)) (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))
(pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(*.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64)))

simplify428.0ms (4.7%)

Memory
17.5MiB live, 580.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 028×lower-fma.f64
7 028×lower-fma.f32
4 354×lower-*.f64
4 354×lower-*.f32
3 294×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05213059
116282831
251402773
083142600
Stop Event
1×iter limit
1×node limit
Counts
228 → 217
Calls
Call 1
Inputs
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 (/ (- 2 y) y))
(+ (* -1 (/ (- 2 y) y)) (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* 2 (/ 1 y)) (* x (- (/ (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 2)))) y))))) (* 2 (/ 1 (pow y 2))))))
-1
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(- (+ (* 2 (/ 1 x)) (/ (* y (- 2 (* 2 y))) (pow x 2))) (+ 1 (* 2 (/ y x))))
(- (+ (* 2 (/ 1 x)) (/ (* (pow y 2) (- 2 (* 2 y))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- 2 (* 2 y))) (pow x 2))) (* 2 (/ y x)))))
-1
(- (* 2 (/ 1 x)) (+ 1 (* 2 (/ y x))))
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (* y (- 2 (* 2 y))) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- 2 (* 2 y))) (* -1 (/ (+ (* y (- 2 (* 2 y))) (/ (* (pow y 2) (- 2 (* 2 y))) x)) x))) x)) 1)
(/ (- 2 x) x)
(- (+ (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(- (+ (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
(- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (- 2 x) (pow x 4))) (/ 1 (pow x 3))))) (+ (* -1 (/ (- 2 x) (pow x 3))) (/ 1 (pow x 2))))) (+ (* -1 (/ (- 2 x) (pow x 2))) (/ 1 x)))) (* 2 (/ 1 x))) 1)
1
(- (+ 1 (* -1 (/ (- 2 x) y))) (* -1 (/ x y)))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))) (* -1 (/ x y)))
(- (+ 1 (+ (* -1 (/ (- 2 x) y)) (/ (* (pow x 2) (- (* -1 (- 2 x)) (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (* -1 (/ (* x (- (* -1 (- 2 x)) (* -1 x))) (pow y 2)))))
1
(+ 1 (* -1 (/ (- 2 (* 2 x)) y)))
(+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 (* 2 x))) y)) (* 2 x)) y)))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 (* 2 x))) y)) (* x (- 2 (* 2 x)))) y))) (* 2 x)) y)))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) 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)))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
1
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
-2
(- y 2)
(- y 2)
(- y 2)
y
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
(* y (- 1 (* 2 (/ 1 y))))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(/ x (- 2 y))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(/ x (- 2 y))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* 1/2 x)
(+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))
(+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))
(+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))
1
(+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(/ 1 (- 2 y))
(+ (/ 1 (- 2 y)) (/ x (pow (- 2 y) 2)))
(+ (* x (+ (/ 1 (pow (- 2 y) 2)) (/ x (pow (- 2 y) 3)))) (/ 1 (- 2 y)))
(+ (* x (+ (* x (+ (/ 1 (pow (- 2 y) 3)) (/ x (pow (- 2 y) 4)))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))
(/ -1 x)
(/ (- (/ y x) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (- 2 y) (- y 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) x)
(/ (- (+ (/ y x) (/ (* (pow (- 2 y) 2) (- y 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- y 2)) (pow x 2))) (* 2 (/ 1 x))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (- y 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (/ (* (- 2 y) (- y 2)) x)) 2) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow (- 2 y) 2) (- y 2)) x)) (* (- 2 y) (- y 2))) x))) 2) x))) x))
(/ 1 (- 2 x))
(+ (/ 1 (- 2 x)) (/ y (pow (- 2 x) 2)))
(+ (* y (+ (/ 1 (pow (- 2 x) 2)) (/ y (pow (- 2 x) 3)))) (/ 1 (- 2 x)))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(/ -1 y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
Outputs
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
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(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
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(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))))
(+ (* y (+ (* y (+ (/ 1 (pow (- 2 x) 3)) (/ y (pow (- 2 x) 4)))) (/ 1 (pow (- 2 x) 2)))) (/ 1 (- 2 x)))
(fma.f64 y (fma.f64 y (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (/ x y) (+ 1 (* 2 (/ 1 y)))) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(/ (- (+ (/ x y) (/ (* (- 2 x) (- x 2)) (pow y 2))) (+ 1 (* 2 (/ 1 y)))) y)
(/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))) y)
(/ (- (+ (/ x y) (/ (* (pow (- 2 x) 2) (- x 2)) (pow y 3))) (+ 1 (+ (* -1 (/ (* (- 2 x) (- x 2)) (pow y 2))) (* 2 (/ 1 y))))) y)
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (* -1 (/ (- x 2) y))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (/ (* (- 2 x) (- x 2)) y)) 2) y))) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (+.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal -2 binary64))) y)) (neg.f64 y))
(* -1 (/ (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- x 2)) y)) (* (- 2 x) (- x 2))) y))) 2) y))) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 x #s(literal -2 binary64)) y)) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64)))) y) #s(literal -2 binary64))) y)) (neg.f64 y))

eval503.0ms (5.5%)

Memory
13.4MiB live, 467.5MiB allocated
Compiler

Compiled 43 813 to 3 772 computations (91.4% saved)

prune339.0ms (3.7%)

Memory
-29.5MiB live, 510.8MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1 76681 774
Fresh268
Picked235
Done011
Total1 770181 788
Accuracy
100.0%
Counts
1 788 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.8%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
42.2%
(/.f64 (-.f64 x y) (neg.f64 y))
▶37.6%
(/.f64 (-.f64 x y) (neg.f64 x))
22.9%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
51.9%
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓51.6%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
49.3%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
63.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
51.6%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
▶42.4%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
✓99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
58.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
▶11.2%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
11.7%
(*.f64 y #s(literal -1/2 binary64))
14.6%
(*.f64 x #s(literal 1/2 binary64))
▶41.8%
#s(literal 1 binary64)
✓37.3%
#s(literal -1 binary64)
Compiler

Compiled 266 to 190 computations (28.6% saved)

simplify327.0ms (3.6%)

Memory
-19.9MiB live, 310.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(-.f64 x y)
✓cost-diff128
(/.f64 (-.f64 x y) (neg.f64 x))
✓cost-diff0
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
✓cost-diff0
(-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
✓cost-diff896
(fma.f64 y (/.f64 x y) y)
Rules
5 208×lower-fma.f32
5 202×lower-fma.f64
3 172×lower-*.f32
3 170×lower-*.f64
1 552×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01985
03485
17085
212684
324275
456475
5171175
6396975
7546475
8623875
9654675
10667975
11675175
12762975
0829675
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))
#s(literal 2 binary64)
(fma.f64 y (/.f64 x y) y)
(/.f64 x y)
#s(literal 1 binary64)
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
y
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
#s(literal -1/4 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 x y) (neg.f64 x))
(-.f64 x y)
x
y
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
#s(literal 2 binary64)
x
#s(literal -2 binary64)
y
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(fma.f64 y (/.f64 x y) y)
(+.f64 x y)
(/.f64 x y)
#s(literal 1 binary64)
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
y
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
#s(literal -1/4 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 x y) (neg.f64 x))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(-.f64 x y)
x
y
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
x
#s(literal -2 binary64)
y

localize64.0ms (0.7%)

Memory
16.5MiB live, 94.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
✓accuracy100.0%
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(/.f64 (-.f64 x y) (neg.f64 x))
✓accuracy100.0%
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
✓accuracy88.4%
(fma.f64 y (/.f64 x y) y)
Samples
38.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 95 to 24 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 7.0ms (32.1% of total)
ival-mult: 6.0ms (27.5% of total)
ival-sub: 4.0ms (18.3% of total)
ival-add: 3.0ms (13.8% of total)
exact: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-7.4MiB live, 27.1MiB allocated
Counts
11 → 216
Calls
Call 1
Inputs
#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)) (patch (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (patch (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) (neg.f64 x)) (patch (/.f64 (-.f64 x y) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* 2 x) 2) y) (taylor -inf y) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 x) 2) y) (taylor -inf y) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 2) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(- 1 (/ (+ (* 2 x) -2) y))
1.0ms
x
@0
(- 1 (/ (+ (* 2 x) -2) y))
0.0ms
y
@inf
(* y (+ (* y -1/4) -1/2))
0.0ms
x
@inf
(- 1 (/ (+ (* 2 x) -2) y))
0.0ms
y
@0
(/ (+ (* 2 x) -2) y)

rewrite343.0ms (3.7%)

Memory
28.6MiB live, 588.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 556×lower-*.f32
4 554×lower-*.f64
4 542×lower-/.f32
4 534×lower-/.f64
3 556×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01965
03465
116965
2133462
0818359
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 441
Calls
Call 1
Inputs
(fma.f64 y (/.f64 x y) y)
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
(-.f64 x y)
(-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(/.f64 (-.f64 x y) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
Outputs
(+.f64 y (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) y)
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 y (*.f64 x #s(literal 1 binary64)))))
(fma.f64 y (/.f64 x y) y)
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 (/.f64 x y) y y)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (neg.f64 y)) y)
(fma.f64 (/.f64 y y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) y) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) y))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) y) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 x #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (*.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 y (*.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) y)) (*.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) y) (-.f64 (*.f64 x #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 y (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1 binary64)) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1 binary64)) y)) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x #s(literal 1 binary64)) y))))))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) y) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) y))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1 binary64)) y)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))) (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)) (+.f64 y x))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)) (+.f64 y x))))
(-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)) y) (*.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))) (fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))))))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))) (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x #s(literal 1 binary64) y) (*.f64 (fma.f64 x #s(literal 1 binary64) y) (fma.f64 x #s(literal 1 binary64) y))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1 binary64) y) (+.f64 (fma.f64 x #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 1 binary64) y) (fma.f64 x #s(literal 1 binary64) y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 1 binary64) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x #s(literal 1 binary64) y) (*.f64 (fma.f64 x #s(literal 1 binary64) y) (fma.f64 x #s(literal 1 binary64) y))))) (fma.f64 (fma.f64 x #s(literal 1 binary64) y) (+.f64 (fma.f64 x #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 1 binary64) y) (fma.f64 x #s(literal 1 binary64) y)))) (+.f64 (fma.f64 x #s(literal 1 binary64) y) #s(literal 2 binary64)) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 8 binary64) (*.f64 (fma.f64 x #s(literal 1 binary64) y) (*.f64 (fma.f64 x #s(literal 1 binary64) y) (fma.f64 x #s(literal 1 binary64) y))))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1 binary64) y) (+.f64 (fma.f64 x #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x #s(literal 1 binary64) y) (fma.f64 x #s(literal 1 binary64) y)))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x #s(literal 1 binary64) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y))))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1 binary64) y)))
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simplify681.0ms (7.4%)

Memory
15.9MiB live, 398.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 990×lower-fma.f64
9 990×lower-fma.f32
3 894×lower-*.f64
3 894×lower-*.f32
3 042×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441625
17531539
223921450
083291361
Stop Event
1×iter limit
1×node limit
Counts
216 → 207
Calls
Call 1
Inputs
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
(+ 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)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1/2 y)
(* y (- (* -1/4 y) 1/2))
(* y (- (* -1/4 y) 1/2))
(* y (- (* -1/4 y) 1/2))
(* -1/4 (pow y 2))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1/4 (pow y 2))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
-1/2
(- (* -1/4 y) 1/2)
(- (* -1/4 y) 1/2)
(- (* -1/4 y) 1/2)
(* -1/4 y)
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1/4 y)
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(/ y x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
(/ y x)
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(/ y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(+ 1 (* 2 (/ 1 y)))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(* -2 (/ x y))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(* -2 (/ x y))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(/ (- 2 (* 2 x)) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/ (- (+ 2 y) (* 2 x)) y)
1
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(/ -2 y)
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(* 2 (/ x y))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(* 2 (/ x y))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
(/ (- (* 2 x) 2) y)
-2
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 x) 2)
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
Outputs
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (/ y (- 2 y)))
(neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 x (fma.f64 x (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y))))) (neg.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 y (+.f64 x #s(literal -2 binary64)))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 y (+.f64 (fma.f64 y (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (fma.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))))) (/.f64 y (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (+.f64 (/.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) y) (+.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y) #s(literal 2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) (+.f64 (/.f64 (*.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x))) y) #s(literal -2 binary64))) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(- (+ 2 (* -1 y)) x)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(- (+ 2 (* -1 x)) y)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64) x))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* y (- (* -1/4 y) 1/2))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/4 binary64))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/4 binary64))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow y 2) (+ 1/4 (* 1/2 (/ 1 y)))))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* -1/4 y) 1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(- (* -1/4 y) 1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(- (* -1/4 y) 1/2)
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1/4 y)
(*.f64 y #s(literal -1/4 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/4 (* 1/2 (/ 1 y)))))
(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(fma.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(fma.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(fma.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64) (/.f64 (+.f64 x x) y)))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64) (/.f64 (+.f64 x x) y)))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(neg.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64) (/.f64 (+.f64 x x) y)))
(/ (- 2 (* 2 x)) y)
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/.f64 (+.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x x))) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/.f64 (+.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x x))) y)
(/ (- (+ 2 y) (* 2 x)) y)
(/.f64 (+.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x x))) y)
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(- (+ 1 (* 2 (/ 1 y))) (* 2 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(- (* 2 (/ x y)) (* 2 (/ 1 y)))
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(* 2 (/ x y))
(/.f64 (+.f64 x x) y)
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(* -1 (* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
(/ (- (* 2 x) 2) y)
(/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(-.f64 x (-.f64 #s(literal 2 binary64) x))
(- (* 2 x) 2)
(-.f64 x (-.f64 #s(literal 2 binary64) x))
(- (* 2 x) 2)
(-.f64 x (-.f64 #s(literal 2 binary64) x))
(* 2 x)
(+.f64 x x)
(* x (- 2 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* x (- 2 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* x (- 2 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* 2 x)
(+.f64 x x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))

eval92.0ms (1%)

Memory
-37.5MiB live, 213.9MiB allocated
Compiler

Compiled 14 071 to 1 604 computations (88.6% saved)

prune83.0ms (0.9%)

Memory
11.7MiB live, 171.4MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New6992701
Fresh189
Picked235
Done044
Total70217719
Accuracy
100.0%
Counts
719 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.8%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
42.2%
(/.f64 (-.f64 x y) (neg.f64 y))
▶22.9%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓51.6%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
49.3%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶63.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
51.6%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
▶42.7%
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
▶37.6%
(+.f64 #s(literal -1 binary64) (/.f64 y x))
✓99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
58.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
✓11.2%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
11.7%
(*.f64 y #s(literal -1/2 binary64))
▶14.6%
(*.f64 x #s(literal 1/2 binary64))
✓41.8%
#s(literal 1 binary64)
✓37.3%
#s(literal -1 binary64)
Compiler

Compiled 217 to 155 computations (28.6% saved)

simplify97.0ms (1.1%)

Memory
11.1MiB live, 86.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(/.f64 (+.f64 x x) y)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
✓cost-diff0
(-.f64 x y)
✓cost-diff384
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 y x))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(-.f64 #s(literal 2 binary64) y)
✓cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
Rules
1 136×lower-fma.f64
1 136×lower-fma.f32
656×lower-*.f32
654×lower-*.f64
388×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01771
02871
14671
27269
314869
431169
561569
6132169
7192869
8228069
9236869
10240769
11241169
12241169
0241168
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(-.f64 x y)
x
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(/.f64 y x)
y
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
#s(literal 1 binary64)
(/.f64 (+.f64 x x) y)
(+.f64 x x)
x
y
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
(-.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(-.f64 x y)
x
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
#s(literal -1 binary64)
(/.f64 y x)
y
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x x) y)
(+.f64 x x)
x
y

localize58.0ms (0.6%)

Memory
13.7MiB live, 91.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (+.f64 x x) y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
✓accuracy100.0%
(+.f64 x x)
✓accuracy100.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 y x))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
Samples
39.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 73 to 19 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sub: 12.0ms (50.1% of total)
ival-div: 8.0ms (33.4% of total)
ival-add: 2.0ms (8.3% of total)
ival-mult: 1.0ms (4.2% 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)

series17.0ms (0.2%)

Memory
-5.3MiB live, 31.4MiB allocated
Counts
11 → 228
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal -1 binary64) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- x 2) y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (/ x (- 2 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) x)) (/ 1 x))) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) x))))) (/ 1 x))) (* 2 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 2 (* -1 x)) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (* x (+ 2 (* -1 x))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (* (pow x 2) (+ 2 (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* x (+ 2 (* -1 x))) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 2 x) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 x)) y)) x) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 x)) y)) (* x (- 2 x))) y))) x) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 2 y) y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- 2 y) y)) (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* 2 (/ 1 (pow y 2)))) y)))) (/ 1 y)) (* 2 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 y) x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ (* y (- 2 y)) x)) y) x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ (* (pow y 2) (- 2 y)) (pow x 2))) (+ y (* -1 (/ (* y (- 2 y)) x)))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ (* (pow y 3) (- 2 y)) (pow x 3))) (+ y (+ (* -1 (/ (* y (- 2 y)) x)) (* -1 (/ (* (pow y 2) (- 2 y)) (pow x 2)))))) x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 y) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (* y (- 2 y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* y (- 2 y)) (/ (* (pow y 2) (- 2 y)) x)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- 2 y))) (* -1 (/ (* (pow y 3) (- 2 y)) x))) x)) (* y (- 2 y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (patch (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (* 2 (/ 1 y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) y) (patch (-.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -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 (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 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 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (+.f64 x x) y) (patch (/.f64 (+.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
Calls

57 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ (- 2 y) (- x y))
0.0ms
x
@inf
(/ (- 2 y) (- x y))
0.0ms
y
@0
(/ (- 2 y) (- x y))
0.0ms
x
@-inf
(/ (- 2 y) (- x y))
0.0ms
y
@-inf
(/ y x)

rewrite87.0ms (1%)

Memory
-28.0MiB live, 104.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
600×lower-/.f32
590×lower-/.f64
464×lower-*.f32
462×lower-*.f64
234×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01753
02853
113351
0101350
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
11 → 229
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
(-.f64 #s(literal 2 binary64) y)
(-.f64 x y)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 y x)
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
(/.f64 (+.f64 x x) y)
(+.f64 x x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (-.f64 #s(literal 2 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 #s(literal 2 binary64) y))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (neg.f64 (-.f64 x y)))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) y))) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 4 binary64) (*.f64 y y))) (+.f64 #s(literal 2 binary64) y))
(+.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (neg.f64 (/.f64 y (-.f64 x y))))
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (/.f64 y (-.f64 x y)))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 y (-.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 y (-.f64 x y))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)) (neg.f64 (/.f64 y (-.f64 x y))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x) (neg.f64 (/.f64 y (-.f64 x y))))
(neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (neg.f64 (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
(/.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))))
(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (neg.f64 (-.f64 x y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) y)) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (/.f64 #s(literal 2 binary64) (-.f64 x y)) (fma.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (/.f64 y (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (/.f64 #s(literal 2 binary64) (-.f64 x y))) (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y)))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 #s(literal 2 binary64) y))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(+.f64 #s(literal 2 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) y)
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal -1 binary64) y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (+.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 2 binary64) y)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal 2 binary64) (neg.f64 y)))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) y)))
(+.f64 x (neg.f64 y))
(+.f64 (neg.f64 y) x)
(-.f64 x y)
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(fma.f64 #s(literal -1 binary64) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))) (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal -1 binary64))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(neg.f64 (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 y (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 y x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (*.f64 y #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 x y)) #s(literal -2 binary64))
(/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (+.f64 y x)))
(/.f64 (-.f64 (+.f64 x x) (*.f64 #s(literal 2 binary64) y)) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (+.f64 y x))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(*.f64 (neg.f64 (-.f64 x y)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
(+.f64 (/.f64 (+.f64 x x) y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x x) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y))) (fma.f64 (/.f64 (+.f64 x x) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))) (/.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y) #s(literal 1 binary64))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (+.f64 x x) (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 x x) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 x x) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)))) (fma.f64 (/.f64 (+.f64 x x) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y))))) (neg.f64 (fma.f64 (/.f64 (+.f64 x x) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)) (/.f64 (+.f64 x x) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x x) y) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x x) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x x) y))
(neg.f64 (/.f64 (+.f64 x x) y))
(/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (+.f64 x x))))
(/.f64 (+.f64 x x) y)
(/.f64 (+.f64 x x) (neg.f64 y))
(/.f64 (+.f64 x x) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 0 binary64) (*.f64 y #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (*.f64 y (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x x)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x x)) (neg.f64 y))
(/.f64 (*.f64 (+.f64 x x) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(pow.f64 (*.f64 y (+.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(*.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (+.f64 x x) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 x x) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(+.f64 x x)
(+.f64 (neg.f64 x) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (+.f64 x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) x (neg.f64 x))
(neg.f64 (+.f64 x x))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 x x))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))

simplify870.0ms (9.5%)

Memory
31.4MiB live, 667.5MiB allocated
Algorithm
1×egg-herbie
Rules
17 980×lower-fma.f64
17 980×lower-fma.f32
5 518×lower-*.f64
5 518×lower-*.f32
3 260×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02661539
18141482
223861401
083011335
Stop Event
1×iter limit
1×node limit
Counts
228 → 225
Calls
Call 1
Inputs
(* 1/2 x)
(+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))
(+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))
(+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))
1
(+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 2) y)))
(+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(/ x (- 2 y))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(/ x (- 2 y))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(/ 2 x)
(+ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (* 2 (/ 1 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) x)) (/ 1 x))) (* 2 (/ 1 x)))
(+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) x))))) (/ 1 x))) (* 2 (/ 1 x)))
1
(+ 1 (* -1 (/ (+ 2 (* -1 x)) y)))
(- (+ 1 (* -1 (/ (* x (+ 2 (* -1 x))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(- (+ 1 (* -1 (/ (* (pow x 2) (+ 2 (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* x (+ 2 (* -1 x))) (pow y 2)))))
1
(+ 1 (* -1 (/ (- 2 x) y)))
(+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 x)) y)) x) y)))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 x)) y)) (* x (- 2 x))) y))) x) y)))
(* -1 (/ (- 2 y) y))
(+ (* -1 (/ (- 2 y) y)) (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* 2 (/ 1 (pow y 2)))) y)))) (/ 1 y)) (* 2 (/ 1 (pow y 2))))))
(/ (- 2 y) x)
(/ (- (+ 2 (/ (* y (- 2 y)) x)) y) x)
(/ (- (+ 2 (/ (* (pow y 2) (- 2 y)) (pow x 2))) (+ y (* -1 (/ (* y (- 2 y)) x)))) x)
(/ (- (+ 2 (/ (* (pow y 3) (- 2 y)) (pow x 3))) (+ y (+ (* -1 (/ (* y (- 2 y)) x)) (* -1 (/ (* (pow y 2) (- 2 y)) (pow x 2)))))) x)
(/ (- 2 y) x)
(* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (* y (- 2 y)) x))) x))
(* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* y (- 2 y)) (/ (* (pow y 2) (- 2 y)) x)) x))) x))
(* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- 2 y))) (* -1 (/ (* (pow y 3) (- 2 y)) x))) x)) (* y (- 2 y))) x))) x))
2
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(+ 2 (* -1 y))
(* -1 y)
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* y (- (* 2 (/ 1 y)) 1))
(* -1 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
(/ y x)
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(/ y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(/ y x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(* -2 (/ x y))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(* -2 (/ x y))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(* -2 (/ x y))
(/ (- y (* 2 x)) y)
(/ (- y (* 2 x)) y)
(/ (- y (* 2 x)) y)
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(+ 1 (* -2 (/ x y)))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
(+ (* 1/2 x) (* y (- (* -1/2 (* y (+ 1/2 (* -1/4 x)))) (+ 1/2 (* -1/4 x)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(+ (* 1/2 x) (* y (- (* y (- (* -1/4 (* y (+ 1/2 (* -1/4 x)))) (* 1/2 (+ 1/2 (* -1/4 x))))) (+ 1/2 (* -1/4 x)))))
(fma.f64 y (fma.f64 y (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ (+ 2 (* -1 x)) (pow y 2))) (* 2 (/ 1 y)))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 4 (/ (+ 2 (* -1 x)) (pow y 3))) (* 2 (/ 1 y))))) (* -2 (/ (+ 2 (* -1 x)) (pow y 2))))
(+.f64 (/.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 8 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y))
(+ 1 (* -1 (/ (- (+ x (* 2 (/ (- x 2) y))) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 2 binary64) x)) y))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -4 (/ (- x 2) y)) (* 2 (- x 2))) y))) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) y) (-.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64))) y))
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 y))) (/ x (- 2 y)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(* x (+ (* -1 (/ y (* x (- 2 y)))) (/ 1 (- 2 y))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/ x (- 2 y))
(/.f64 x (-.f64 #s(literal 2 binary64) y))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(* -1 (* x (- (/ y (* x (- 2 y))) (/ 1 (- 2 y)))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) (/.f64 y (+.f64 y #s(literal -2 binary64))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (* 2 (/ 1 x)))
(fma.f64 y (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 2 binary64) x))
(+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) x)) (/ 1 x))) (* 2 (/ 1 x)))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 2 binary64) x))
(+ (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (/ 1 x))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (/ 1 x)) x))))) (/ 1 x))) (* 2 (/ 1 x)))
(fma.f64 y (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (fma.f64 y (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 (* -1 x)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y))
(- (+ 1 (* -1 (/ (* x (+ 2 (* -1 x))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(- (+ 1 (* -1 (/ (* (pow x 2) (+ 2 (* -1 x))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* x (+ 2 (* -1 x))) (pow y 2)))))
(-.f64 (fma.f64 (+.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- 2 x) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y))
(+ 1 (* -1 (/ (- (+ 2 (/ (* x (- 2 x)) y)) x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) x) y))
(+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 2 x)) y)) (* x (- 2 x))) y))) x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (*.f64 x x) y) x)) y) x)) y))
(* -1 (/ (- 2 y) y))
(/.f64 (+.f64 y #s(literal -2 binary64)) y)
(+ (* -1 (/ (- 2 y) y)) (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y)) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 y y)))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) y)) (* 2 (/ 1 (pow y 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y)) (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -2 binary64) (*.f64 y y)))))
(+ (* -1 (/ (- 2 y) y)) (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* 2 (/ 1 (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* 2 (/ 1 (pow y 2)))) y)))) (/ 1 y)) (* 2 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) y)) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 y y))))
(/ (- 2 y) x)
(/.f64 (-.f64 #s(literal 2 binary64) y) x)
(/ (- (+ 2 (/ (* y (- 2 y)) x)) y) x)
(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y)) x)
(/ (- (+ 2 (/ (* (pow y 2) (- 2 y)) (pow x 2))) (+ y (* -1 (/ (* y (- 2 y)) x)))) x)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) (+.f64 y (/.f64 (*.f64 y y) x)) (-.f64 #s(literal 2 binary64) y)) x)
(/ (- (+ 2 (/ (* (pow y 3) (- 2 y)) (pow x 3))) (+ y (+ (* -1 (/ (* y (- 2 y)) x)) (* -1 (/ (* (pow y 2) (- 2 y)) (pow x 2)))))) x)
(/.f64 (fma.f64 y (/.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 2 binary64) y))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) (+.f64 y (/.f64 (*.f64 y y) x)) (-.f64 #s(literal 2 binary64) y))) x)
(/ (- 2 y) x)
(/.f64 (-.f64 #s(literal 2 binary64) y) x)
(* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (* y (- 2 y)) x))) x))
(/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 #s(literal 2 binary64) y)) x)
(* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* y (- 2 y)) (/ (* (pow y 2) (- 2 y)) x)) x))) x))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y (/.f64 (*.f64 y y) x))) x)) x)
(* -1 (/ (+ (* -1 (- 2 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- 2 y))) (* -1 (/ (* (pow y 3) (- 2 y)) x))) x)) (* y (- 2 y))) x))) x))
(/.f64 (+.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 y (-.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 y (/.f64 (*.f64 y y) x)))) x)) x)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(+ 2 (* -1 y))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 #s(literal 2 binary64) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 #s(literal 2 binary64) y)
(* y (- (* 2 (/ 1 y)) 1))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) y)
(* -1 (* y (- 1 (* 2 (/ 1 y)))))
(-.f64 #s(literal 2 binary64) y)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* y (- (/ 1 x) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ (+ y (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(- (/ y x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(+ 1 (* -2 (/ x y)))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(+ 1 (* -2 (/ x y)))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/ (- y (* 2 x)) y)
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(/ (- y (* 2 x)) y)
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(/ (- y (* 2 x)) y)
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(+ 1 (* -2 (/ x y)))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(+ 1 (* -2 (/ x y)))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(+ 1 (* -2 (/ x y)))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(+ 1 (* -2 (/ x y)))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 (/ x y))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval77.0ms (0.8%)

Memory
-5.2MiB live, 108.3MiB allocated
Compiler

Compiled 5 322 to 778 computations (85.4% saved)

prune54.0ms (0.6%)

Memory
-12.1MiB live, 105.7MiB allocated
Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New4892491
Fresh055
Picked235
Done077
Total49117508
Accuracy
100.0%
Counts
508 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.8%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
✓100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
42.2%
(/.f64 (-.f64 x y) (neg.f64 y))
✓51.6%
(/.f64 y (+.f64 y #s(literal -2 binary64)))
49.3%
(/.f64 x (-.f64 #s(literal 2 binary64) x))
51.6%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
✓42.7%
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
✓37.6%
(+.f64 #s(literal -1 binary64) (/.f64 y x))
✓99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
58.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
22.9%
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
✓11.2%
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
11.7%
(*.f64 y #s(literal -1/2 binary64))
22.8%
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
✓14.6%
(*.f64 x #s(literal 1/2 binary64))
✓41.8%
#s(literal 1 binary64)
✓37.3%
#s(literal -1 binary64)
Compiler

Compiled 322 to 158 computations (50.9% saved)

regimes25.0ms (0.3%)

Memory
11.7MiB live, 48.3MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 x y) y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Calls

3 calls:

10.0ms
y
8.0ms
x
7.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes19.0ms (0.2%)

Memory
-6.8MiB live, 36.9MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
Calls

3 calls:

8.0ms
y
5.0ms
x
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
86.5%3x
79.4%3y
98.2%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 x y) (neg.f64 x))
(/.f64 (-.f64 x y) (neg.f64 y))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) y))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(/.f64 y (+.f64 y #s(literal -2 binary64)))
Calls

1 calls:

4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
97.6%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
97.0%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
-32.2MiB live, 6.5MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
96.8%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
Outputs
#s(literal -1 binary64)
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
96.7%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
88.1%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

3 calls:

2.0ms
y
2.0ms
x
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
67.0%3y
65.0%3x
77.5%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
37.3%1x
37.3%1y
37.3%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.998382313924516
-0.6851265493522326
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.140153424266364e-7
0.0009350205375567234
0.0ms
-0.998382313924516
-0.6851265493522326
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0009350205375567234
0.9912888818540381
0.0ms
-0.998382313924516
-0.6851265493522326
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0009350205375567234
0.9912888818540381
0.0ms
-0.998382313924516
-0.6851265493522326
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0009350205375567234
0.9912888818540381
1.0ms
-0.6851265493522326
-6.439742859754935e-7
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.140153424266364e-7
0.0009350205375567234
0.0ms
-6.439742859754935e-7
-8.687043088825451e-16
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch12.0ms (0.1%)

Memory
-23.6MiB live, 14.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-1.2291985516767947e-278
7.084327298359637e-285
Samples
5.0ms192×0valid
Compiler

Compiled 110 to 108 computations (1.8% saved)

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

simplify8.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Algorithm
1×egg-herbie
Rules
20×+-commutative_binary64
14×sub-neg_binary64
10×*-commutative_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043217
158217
270217
378217
481217
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4722366482869645/9444732965739290427392 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4722366482869645/9444732965739290427392 binary64)) #s(literal -1 binary64) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 944473296573929/4722366482869645213696 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness788.0ms (8.6%)

Memory
16.0MiB live, 646.3MiB allocated
Rules
12 038×lower-fma.f64
12 038×lower-fma.f32
9 990×lower-fma.f64
9 990×lower-fma.f32
7 028×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01753
02853
113351
0101350
0186985
1571921
21809857
37607851
08573806
02441625
17531539
223921450
083291361
05213059
116282831
251402773
083142600
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×iter limit
1×node limit
1×iter limit
Compiler

Compiled 404 to 180 computations (55.4% saved)

preprocess68.0ms (0.7%)

Memory
-6.6MiB live, 150.4MiB allocated
Compiler

Compiled 494 to 116 computations (76.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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