Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.3%)

Memory
-2.2MiB live, 36.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample739.0ms (17.1%)

Memory
13.7MiB live, 1 405.4MiB allocated
Samples
491.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 233.0ms
ival-mult: 99.0ms (42.6% of total)
ival-div: 71.0ms (30.5% of total)
ival-add: 48.0ms (20.6% of total)
ival-true: 7.0ms (3% of total)
exact: 5.0ms (2.1% of total)
ival-assert: 4.0ms (1.7% of total)
Bogosity

explain103.0ms (2.4%)

Memory
5.8MiB live, 121.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))o/n360
(*.f64 x y)overflow36
Confusion
Predicted +Predicted -
+360
-0220
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3600
-00220
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0220
136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 42.0ms (86.5% of total)
ival-div: 3.0ms (6.2% of total)
ival-add: 3.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess56.0ms (1.3%)

Memory
-19.2MiB live, 64.1MiB allocated
Algorithm
egg-herbie
Rules
486×times-frac
304×unsub-neg
238×distribute-lft-in
228×distribute-lft-neg-in
228×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15037
214535
344335
4119035
5166735
6188235
7193835
8196635
9197035
067
097
1157
2187
3197
0197
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
Symmetry

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Rules
12×lower-*.f32
10×lower-*.f64
*-commutative
lower-/.f32
associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11516
21816
31916
01916
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 x y)
(*.f64 y x)
x
y
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize20.0ms (0.5%)

Memory
-4.0MiB live, 34.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy8.499759834122234
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.7% of total)
ival-mult: 2.0ms (38.7% of total)
ival-add: 1.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x 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 y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify153.0ms (3.5%)

Memory
10.6MiB live, 165.8MiB allocated
Algorithm
egg-herbie
Rules
9 976×lower-fma.f64
9 976×lower-fma.f32
2 536×lower-*.f64
2 536×lower-*.f32
1 658×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046299
1135290
2274282
31005276
44069276
55956276
67080276
77762276
08009274
Stop Event
iter limit
node limit
Counts
60 → 56
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* x y)
(* x y)
(* x y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite194.0ms (4.5%)

Memory
-38.7MiB live, 245.2MiB allocated
Rules
5 518×lower-/.f32
5 516×lower-/.f64
3 256×lower-*.f32
3 254×lower-*.f64
2 620×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13513
220313
3189113
0839613
Stop Event
iter limit
node limit
iter limit
Counts
3 → 336
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 y #s(literal 1 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)))
(*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 y) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y x))
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
(*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 y (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))))
(*.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))))
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (*.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (*.f64 (*.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
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(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (-.f64 #s(literal -1 binary64) y))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))))) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval42.0ms (1%)

Memory
36.0MiB live, 110.4MiB allocated
Compiler

Compiled 8 392 to 1 033 computations (87.7% saved)

prune9.0ms (0.2%)

Memory
-18.9MiB live, 26.9MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3884392
Fresh000
Picked011
Done000
Total3885393
Accuracy
100.0%
Counts
393 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
87.2%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
56.3%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
44.2%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
45.0%
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
Compiler

Compiled 42 to 24 computations (42.9% saved)

simplify55.0ms (1.3%)

Memory
6.2MiB live, 44.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 x (/.f64 x y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 x (*.f64 y x))
cost-diff0
(*.f64 (-.f64 x (*.f64 y x)) y)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
Rules
800×lower-fma.f64
800×lower-fma.f32
536×lower-*.f32
530×lower-*.f64
232×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01789
02589
14189
26489
310789
418989
532189
657589
795089
8134389
9157889
10165489
11166489
12166789
13166889
0166889
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(-.f64 x (*.f64 y x))
x
(*.f64 y x)
y
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(-.f64 x (*.f64 y x))
x
(*.f64 y x)
y
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (-.f64 y #s(literal -1 binary64)))
x
(+.f64 #s(literal 1 binary64) y)
(-.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)
y

localize171.0ms (4%)

Memory
-192.0MiB live, 106.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy8.2221464540326
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
accuracy0
(/.f64 x y)
accuracy0
(-.f64 x (/.f64 x y))
accuracy27.984685090359672
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy0
(*.f64 y x)
accuracy0.0078125
(-.f64 x (*.f64 y x))
accuracy0.09375
(*.f64 (-.f64 x (*.f64 y x)) y)
accuracy35.70709210314771
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
accuracy0
(*.f64 y x)
accuracy35.18956056594862
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
Samples
32.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (48.3% of total)
ival-div: 5.0ms (26.8% of total)
ival-sub: 2.0ms (10.7% of total)
ival-add: 2.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.4%)

Memory
-10.6MiB live, 32.9MiB allocated
Counts
11 → 252
Calls
Call 1
Inputs
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.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 (/ 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 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) x)) (taylor inf y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) x)) (taylor inf y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) x)) (taylor inf y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ x (pow y 2))) (/ x y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y))
2.0ms
x
@inf
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y))
1.0ms
x
@0
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y))
1.0ms
y
@-inf
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y))
1.0ms
y
@inf
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y))

simplify145.0ms (3.3%)

Memory
3.3MiB live, 198.7MiB allocated
Algorithm
egg-herbie
Rules
14 170×lower-fma.f64
14 170×lower-fma.f32
2 422×lower-*.f64
2 422×lower-*.f32
1 708×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0861622
12641465
25581425
319541415
463431415
578081415
080641405
Stop Event
iter limit
node limit
Counts
252 → 238
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* y (- (* x y) x)))
(fma.f64 (-.f64 (*.f64 y x) x) y x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 x (*.f64 y x)))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y)))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ x y) x))
(-.f64 x (*.f64 y x))
(* y (- (/ x y) x))
(-.f64 x (*.f64 y x))
(* y (- (/ x y) x))
(-.f64 x (*.f64 y x))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y)))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 y #s(literal 1 binary64)))
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y))) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y)))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(-.f64 x (*.f64 y x))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(-.f64 x (*.f64 y x))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(-.f64 x (*.f64 y x))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y)))
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 y #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 x (/.f64 x y))) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))

rewrite181.0ms (4.2%)

Memory
39.0MiB live, 151.2MiB allocated
Rules
4 940×lower-fma.f64
4 940×lower-fma.f32
4 824×lower-*.f32
4 818×lower-*.f64
4 220×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01777
02577
110877
273877
0866777
Stop Event
iter limit
node limit
iter limit
Counts
11 → 610
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(-.f64 x (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
(/.f64 x y)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) y) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 y y (neg.f64 y)))))
(*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) y) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (-.f64 x (*.f64 y x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y y) (*.f64 x x)) (*.f64 (-.f64 x (*.f64 y x)) y)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y y) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 y y y))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y y) (*.f64 x x)) (*.f64 (-.f64 x (*.f64 y x)) y)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y y)) (*.f64 (*.f64 x x) (fma.f64 y y y))) (*.f64 (*.f64 x x) (fma.f64 y y y))))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y y)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 y y y)) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 y (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 y y (neg.f64 y)))))
(*.f64 (/.f64 (*.f64 y (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (-.f64 x (*.f64 y x)))
(*.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 y y y) (*.f64 x x))) (-.f64 x (*.f64 y x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y y) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 y y y))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 y y y) (*.f64 x x))) (-.f64 x (*.f64 y x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y y)) (*.f64 (*.f64 x x) (fma.f64 y y y))) (*.f64 (*.f64 x x) (fma.f64 y y y))))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y y)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 y y y)) (*.f64 x x)))))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (neg.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (neg.f64 y) y (+.f64 #s(literal -1 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (+.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (+.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (+.f64 (neg.f64 y) #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 y) y (+.f64 #s(literal -1 binary64) y))))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (-.f64 #s(literal -1 binary64) y))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval236.0ms (5.4%)

Memory
2.0MiB live, 159.0MiB allocated
Compiler

Compiled 16 385 to 1 694 computations (89.7% saved)

prune69.0ms (1.6%)

Memory
9.3MiB live, 85.4MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New8783881
Fresh000
Picked134
Done011
Total8797886
Accuracy
100.0%
Counts
886 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
87.2%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
56.3%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
44.2%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
45.0%
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
44.2%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
3.4%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Compiler

Compiled 60 to 35 computations (41.7% saved)

simplify58.0ms (1.3%)

Memory
-33.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) y)
cost-diff0
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Rules
800×lower-fma.f64
800×lower-fma.f32
536×lower-*.f32
528×lower-*.f64
214×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019102
026102
146102
279102
3130102
4265102
5480102
6742102
71056102
81394102
91517102
101653102
111655102
121658102
131659102
01659102
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
x
(*.f64 y (-.f64 #s(literal 1 binary64) y))
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
Outputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
x
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y

localize43.0ms (1%)

Memory
4.3MiB live, 42.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.015625
(*.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy0.09375
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
accuracy35.70709210314771
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 y (-.f64 #s(literal 1 binary64) y))
accuracy5.6404414790123445
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
accuracy35.70709210314771
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
accuracy0
(/.f64 (neg.f64 x) y)
accuracy0
(neg.f64 x)
accuracy27.984685090359672
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
accuracy35.000501524416734
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
Samples
33.0ms256×0valid
Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (45% of total)
ival-div: 5.0ms (28.1% of total)
ival-sub: 2.0ms (11.3% of total)
ival-add: 1.0ms (5.6% of total)
ival-neg: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
11 → 228
Calls
Call 1
Inputs
#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 y) 1)) (taylor inf y) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 y) 1)) (taylor inf y) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 y) 1)) (taylor inf y) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify233.0ms (5.4%)

Memory
-10.2MiB live, 106.0MiB allocated
Algorithm
egg-herbie
Rules
12 094×lower-fma.f64
12 094×lower-fma.f32
3 002×lower-*.f64
3 002×lower-*.f32
1 590×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0691457
12111373
24711295
314641277
447801277
579571277
080191271
Stop Event
iter limit
node limit
Counts
228 → 218
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))

rewrite149.0ms (3.4%)

Memory
23.3MiB live, 99.2MiB allocated
Rules
4 060×lower-fma.f64
4 060×lower-fma.f32
3 890×lower-*.f32
3 882×lower-*.f64
3 586×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01991
02691
19691
260491
0831691
Stop Event
iter limit
node limit
iter limit
Counts
11 → 437
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) (neg.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 x #s(literal -1 binary64)) y)
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(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) (*.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))) (-.f64 x (*.f64 (neg.f64 x) y)))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)) (*.f64 x (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) x) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x)
(fma.f64 (neg.f64 y) x x)
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) y))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) x)
(fma.f64 y (neg.f64 x) x)
(fma.f64 x (neg.f64 y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)))
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 (neg.f64 x) y) x)
(+.f64 x (*.f64 (neg.f64 x) y))

eval241.0ms (5.6%)

Memory
-24.0MiB live, 131.7MiB allocated
Compiler

Compiled 12 942 to 1 340 computations (89.6% saved)

prune38.0ms (0.9%)

Memory
24.2MiB live, 61.8MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New7840784
Fresh000
Picked033
Done044
Total7847791
Accuracy
100.0%
Counts
791 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
87.2%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
56.3%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
44.2%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
45.0%
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
44.2%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
3.4%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Compiler

Compiled 116 to 56 computations (51.7% saved)

regimes14.0ms (0.3%)

Memory
-27.2MiB live, 20.0MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

3 calls:

8.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%2x
100.0%3y
99.9%2(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
Outputs
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%3y
92.4%4x
91.2%3(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Outputs
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
98.9%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.3%)

Memory
-16.2MiB live, 21.9MiB allocated
Accuracy

Total -27.8b remaining (-79.1%)

Threshold costs -27.8b (-79.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
Calls

3 calls:

6.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
45.0%1x
45.0%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
45.0%1y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4579241882564341e+200
6.426516910375576e+210
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch20.0ms (0.5%)

Memory
-4.2MiB live, 33.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
11.0ms
42269.1514624267
462335306.91787773
7.0ms
-76095970713.16043
-8984286548.168228
Samples
11.0ms208×0valid
Compiler

Compiled 259 to 167 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 4.0ms (55% of total)
ival-div: 2.0ms (27.5% of total)
ival-mult: 1.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.6%)

Memory
9.8MiB live, 47.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.005550335634577611
42269.1514624267
11.0ms
-1575.75533695332
-1.821566493120809e-5
Samples
12.0ms288×0valid
Compiler

Compiled 372 to 227 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.5% of total)
ival-mult: 2.0ms (34.5% of total)
ival-add: 1.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
12×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035131
147131
256131
362131
466131
567131
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -9000000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 140000000 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
Outputs
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -9000000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 140000000 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

soundness1.2s (27.7%)

Memory
-15.3MiB live, 439.3MiB allocated
Rules
9 976×lower-fma.f64
9 976×lower-fma.f32
5 518×lower-/.f32
5 516×lower-/.f64
4 940×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01777
02577
110877
273877
0866777
0613
0913
13513
220313
3189113
0839613
046299
1135290
2274282
31005276
44069276
55956276
67080276
77762276
08009274
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 152 to 63 computations (58.6% saved)

preprocess49.0ms (1.1%)

Memory
-20.9MiB live, 97.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 322 to 128 computations (60.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...