Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory
11.2MiB live, 11.2MiB 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 8 to 7 computations (12.5% saved)

sample1.3s (17.1%)

Memory
29.3MiB live, 1 252.5MiB allocated
Samples
917.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 374.0ms
ival-sin: 244.0ms (65.2% of total)
ival-div: 65.0ms (17.4% of total)
ival-mult: 55.0ms (14.7% of total)
ival-true: 7.0ms (1.9% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain86.0ms (1.1%)

Memory
-29.9MiB live, 171.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(-3.313241438101791e+163 1.2504585450523074e+308)(*.f64 x (/.f64 (sin.f64 y) y))
00-0-(sin.f64 y)
00-0-y
00-0-(/.f64 (sin.f64 y) y)
00-0-x
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-00255
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
54.0ms512×0valid
Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-sin: 32.0ms (80.4% of total)
ival-div: 4.0ms (10% of total)
ival-mult: 3.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess44.0ms (0.6%)

Memory
26.5MiB live, 65.9MiB allocated
Algorithm
egg-herbie
Rules
300×times-frac
148×associate-*r*
139×associate-*l*
91×unsub-neg
90×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01536
14632
212232
332332
4110732
5181132
6190432
7193832
8196632
9197832
10197832
056
086
1116
2136
3156
4166
0166
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(*.f64 x (/.f64 (sin.f64 y) y))
Rules
lower-*.f32
lower-*.f64
*-commutative
lower-/.f32
lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11114
21314
31514
41614
01614
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize23.0ms (0.3%)

Memory
-2.3MiB live, 37.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0.1283514882622171
(*.f64 x (/.f64 (sin.f64 y) y))
accuracy0.140625
(/.f64 (sin.f64 y) y)
Samples
17.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 7.0ms (65.6% of total)
ival-div: 2.0ms (18.7% of total)
ival-mult: 2.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-28.7MiB live, 12.2MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify256.0ms (3.3%)

Memory
21.3MiB live, 209.8MiB allocated
Algorithm
egg-herbie
Rules
8 060×lower-fma.f64
8 060×lower-fma.f32
2 187×lower-*.f64
2 187×lower-*.f32
1 193×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043306
1118306
2310296
3910294
41439294
52227294
63349294
73639294
84369294
96831294
08504276
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

rewrite71.0ms (0.9%)

Memory
24.1MiB live, 61.7MiB allocated
Rules
491×unpow-prod-down
418×lower-*.f32
417×lower-*.f64
385×frac-2neg
359×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0818
11918
27218
333618
4179818
0812
11912
27212
333612
0179812
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
3 → 153
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x)))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (neg.f64 x) y)) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64))
(/.f64 x (/.f64 y (sin.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 y) x) y))
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (sin.f64 y) x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 (sin.f64 y) x) y))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y)))) (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y))))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 y (sin.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y))
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(neg.f64 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(sin.f64 y)
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(+.f64 (sin.f64 y) #s(literal 0 binary64))

eval51.0ms (0.7%)

Memory
-40.5MiB live, 89.0MiB allocated
Compiler

Compiled 2 248 to 439 computations (80.5% saved)

prune36.0ms (0.5%)

Memory
0.6MiB live, 78.8MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New18712199
Fresh000
Picked011
Done000
Total18713200
Accuracy
100.0%
Counts
200 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
52.9%
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
86.9%
(/.f64 (*.f64 (sin.f64 y) x) y)
52.1%
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
99.5%
(/.f64 x (/.f64 y (sin.f64 y)))
88.4%
(*.f64 (/.f64 x y) (sin.f64 y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
49.9%
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
49.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
50.4%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
49.8%
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
49.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
Compiler

Compiled 310 to 199 computations (35.8% saved)

simplify148.0ms (1.9%)

Memory
30.0MiB live, 71.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(/.f64 (*.f64 (sin.f64 y) x) y)
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y)
cost-diff0
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)
cost-diff0
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
cost-diff0
(*.f64 #s(literal 1/120 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
cost-diff0
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
Rules
1 440×lower-fma.f32
1 435×lower-fma.f64
1 208×distribute-lft-in
1 061×distribute-rgt-in
738×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030210
053212
193206
2160206
3387206
41001206
51709206
63391206
73468206
83573206
93811206
103844206
113853206
124785206
136808206
146914206
156918206
166918206
177133206
187503206
197688206
207693206
217693206
07693206
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
y
#s(literal -1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
x
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
x
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
Outputs
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (*.f64 y y) x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (*.f64 y y) x)
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
y
#s(literal -1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y x) y)
(*.f64 y y)
x
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x)
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 y y)
y
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
x
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x

localize145.0ms (1.9%)

Memory
-15.4MiB live, 137.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0.16015625
(*.f64 (sin.f64 y) x)
accuracy8.353152002816243
(/.f64 (*.f64 (sin.f64 y) x) y)
accuracy0.09765625
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y)
accuracy0.1328125
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
accuracy1.605709222480438
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
accuracy32.030480744153415
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
accuracy0.0859375
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
accuracy0.12109375
(*.f64 #s(literal 1/120 binary64) y)
accuracy6.5226914166727825
(*.f64 (*.f64 y y) x)
accuracy32.13389770075725
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
accuracy0.1283514882622171
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy31.90422611509703
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0
(sin.f64 y)
accuracy0.1283514882622171
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
accuracy0.27962875976844204
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
Samples
96.0ms256×0valid
Compiler

Compiled 189 to 32 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 53.0ms (66.7% of total)
const: 9.0ms (11.3% of total)
ival-div: 6.0ms (7.6% of total)
ival-sin: 6.0ms (7.6% of total)
ival-add: 5.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
14.6MiB live, 50.4MiB allocated
Counts
18 → 348
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) (patch (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/120 (* -1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/120 (* -1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/120 (* -1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 3)) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ())
Calls

87 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(* (sin y) x)
2.0ms
x
@0
(+ (* (+ (* (* 1/120 y) y) -1/6) (* (* y y) x)) x)
1.0ms
x
@0
(+ (* (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) y) y) x)
1.0ms
x
@0
(* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) y)
1.0ms
y
@inf
(+ (* (+ (* (* 1/120 y) y) -1/6) (* (* y y) x)) x)

simplify222.0ms (2.9%)

Memory
4.6MiB live, 226.2MiB allocated
Algorithm
egg-herbie
Rules
7 904×lower-fma.f64
7 904×lower-fma.f32
2 771×lower-*.f64
2 771×lower-*.f32
1 083×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01293286
14183280
212312990
337372972
477632972
087382755
Stop Event
iter limit
node limit
Counts
348 → 340
Calls
Call 1
Inputs
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1/6 (* x y))
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))
(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))
(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))
(* -1/5040 (* x (pow y 5)))
(* (pow y 5) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* -1/5040 (* x (pow y 5)))
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (* 1/5040 x))))
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4)))))))
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4)))))))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(* -1/5040 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* -1/5040 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x)
(* 1/120 (* x (pow y 4)))
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) y) (*.f64 x y))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) y) (*.f64 x y))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x)
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
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(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x)
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x)
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x)
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* -1/5040 (* x (pow y 4)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 #s(literal -1/5040 binary64) y))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) (*.f64 x y))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* -1/5040 (* x (pow y 4)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 #s(literal -1/5040 binary64) y))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) (*.f64 x y))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64))) y)
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y)
(* -1/5040 (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y))
(* -1/5040 (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y))

rewrite462.0ms (6%)

Memory
15.7MiB live, 346.9MiB allocated
Rules
4 549×lower-fma.f32
4 544×lower-fma.f64
3 211×lower-*.f32
3 201×lower-*.f64
1 860×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030169
053165
1173165
2997165
08694165
Stop Event
iter limit
node limit
iter limit
Counts
18 → 531
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) y)
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
Outputs
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sin.f64 y))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
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(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)) y) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1 binary64)))
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(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) y) (*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) #s(literal -1/604800 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) #s(literal -1/604800 binary64))))))
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y))))))
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))))
(/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 y (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))) (*.f64 y (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) y) (*.f64 y y) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/5040 binary64) y) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)))
(fma.f64 #s(literal 1/120 binary64) y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)))
(fma.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) y))
(+.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)))

eval287.0ms (3.7%)

Memory
-19.7MiB live, 181.2MiB allocated
Compiler

Compiled 22 550 to 1 807 computations (92% saved)

prune238.0ms (3.1%)

Memory
-13.2MiB live, 315.6MiB allocated
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New8826888
Fresh437
Picked055
Done011
Total88615901
Accuracy
100.0%
Counts
901 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(/.f64 (*.f64 (sin.f64 y) x) y)
52.1%
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
36.9%
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y)
88.7%
(/.f64 (sin.f64 y) (/.f64 y x))
37.4%
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
99.5%
(/.f64 x (/.f64 y (sin.f64 y)))
88.4%
(*.f64 (/.f64 x y) (sin.f64 y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
49.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
49.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
50.4%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
49.8%
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
49.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
49.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
Compiler

Compiled 281 to 172 computations (38.8% saved)

simplify71.0ms (0.9%)

Memory
1.4MiB live, 38.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(sin.f64 y)
cost-diff384
(/.f64 (sin.f64 y) (/.f64 y x))
cost-diff0
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (* (sin y) x) (*.f64 x y))
cost-diff0
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
cost-diff0
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64)))
cost-diff0
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y)
cost-diff0
(fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)
cost-diff0
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff384
(/.f64 x (/.f64 y (sin.f64 y)))
Rules
334×lower-*.f32
327×lower-*.f64
268×lower-fma.f32
266×lower-fma.f64
208×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037218
057218
191214
2140214
3223210
4512210
5878210
61072210
71130210
81159210
91160210
101160210
01160198
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
(fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y)
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
y
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
#s(literal -1/6 binary64)
(/.f64 (sin.f64 y) (/.f64 y x))
(sin.f64 y)
y
(/.f64 y x)
x
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))
(fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y)
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) y)
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
x
#s(literal -1/6 binary64)
y
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 x y))
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(*.f64 y y)
#s(literal -1/6 binary64)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x y) (sin.f64 y))
(sin.f64 y)
y
(/.f64 y x)
x

localize596.0ms (7.7%)

Memory
10.4MiB live, 168.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(sin.f64 y)
accuracy7.257099408633081
(/.f64 (sin.f64 y) (/.f64 y x))
accuracy0.109375
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy0.1283514882622171
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
accuracy0.27962875976844204
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
accuracy32.087697366061526
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
accuracy0
(*.f64 x y)
accuracy8.353152002816243
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
accuracy32.045286682802065
#s(approx (* (sin y) x) (*.f64 x y))
accuracy0.09765625
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y)
accuracy0.30859375
(*.f64 x #s(literal -1/6 binary64))
accuracy31.58859510970886
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64)))
accuracy32.030480744153415
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
accuracy0
(sin.f64 y)
accuracy0.125
(/.f64 y (sin.f64 y))
accuracy0.3362190781434541
(/.f64 x (/.f64 y (sin.f64 y)))
Samples
565.0ms256×0valid
Compiler

Compiled 151 to 35 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 546.0ms
ival-mult: 512.0ms (93.8% of total)
ival-div: 11.0ms (2% of total)
const: 9.0ms (1.6% of total)
ival-sin: 8.0ms (1.5% of total)
ival-add: 4.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
2.0MiB live, 38.6MiB allocated
Counts
18 → 348
Calls
Call 1
Inputs
#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x) (patch (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) (patch (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) #<representation binary64>) () ())
#s(alt #s(approx (* (sin y) x) (*.f64 x y)) (patch #s(approx (* (sin y) x) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) (patch (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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 (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

87 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/ y (sin y))
0.0ms
y
@inf
(/ y (sin y))
0.0ms
y
@-inf
(/ y x)
0.0ms
x
@-inf
(/ y x)
0.0ms
x
@-inf
(* x -1/6)

simplify307.0ms (4%)

Memory
-18.6MiB live, 268.6MiB allocated
Algorithm
egg-herbie
Rules
9 961×lower-fma.f64
9 961×lower-fma.f32
2 711×lower-*.f64
2 711×lower-*.f32
1 619×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212906
13732906
211112644
332942626
472212626
081842445
Stop Event
iter limit
node limit
Counts
348 → 340
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1/6 (* x y))
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))
(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))
(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))
(* -1/5040 (* x (pow y 5)))
(* (pow y 5) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* -1/5040 (* x (pow y 5)))
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (* 1/5040 x))))
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4)))))))
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4)))))))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(* -1/5040 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* -1/5040 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
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(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* 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)
(* 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)
(* 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)
(* 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)
(* 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 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y)
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y)
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))

rewrite276.0ms (3.6%)

Memory
12.9MiB live, 242.1MiB allocated
Rules
4 098×lower-fma.f32
4 096×lower-fma.f64
3 051×lower-*.f32
3 044×lower-*.f64
1 911×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037192
057192
1182188
2990185
08365174
Stop Event
iter limit
node limit
iter limit
Counts
18 → 497
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(sin.f64 y)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
(fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y)
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) y)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 y x)
(*.f64 x #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (sin.f64 y))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 1/1296 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) #s(literal -1/216 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) #s(literal -1/216 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))

eval218.0ms (2.8%)

Memory
4.7MiB live, 159.3MiB allocated
Compiler

Compiled 13 274 to 1 198 computations (91% saved)

prune400.0ms (5.2%)

Memory
-5.4MiB live, 284.7MiB allocated
Pruning

26 alts after pruning (15 fresh and 11 done)

PrunedKeptTotal
New84611857
Fresh044
Picked055
Done066
Total84626872
Accuracy
100.0%
Counts
872 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(/.f64 (*.f64 (sin.f64 y) x) y)
52.1%
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
36.9%
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y)
88.7%
(/.f64 (sin.f64 y) (/.f64 y x))
37.4%
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
99.5%
(/.f64 x (/.f64 y (sin.f64 y)))
63.4%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
63.4%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
63.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
86.6%
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
88.4%
(*.f64 (/.f64 x y) (sin.f64 y))
36.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x))
37.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x)))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
49.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))))
49.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
48.9%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) y))))
3.0%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y))))
49.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
50.4%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
49.8%
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
49.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
49.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
22.8%
#s(approx (* x (/ (sin y) y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)))) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)))))
23.6%
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
Compiler

Compiled 716 to 386 computations (46.1% saved)

simplify344.0ms (4.5%)

Memory
12.1MiB live, 164.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)
cost-diff0
(*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)))
cost-diff0
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
cost-diff3648
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))
cost-diff0
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))
cost-diff0
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
cost-diff0
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)
cost-diff0
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y)
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (sin.f64 y))
Rules
9 574×lower-fma.f32
9 569×lower-fma.f64
1 888×lower-*.f32
1 877×lower-*.f64
715×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045525
073577
1135571
2295554
3765551
42666395
55220392
08336374
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y)
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
#s(literal -1/6 binary64)
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))
(*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)))
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)
(*.f64 y y)
y
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))
#s(literal -1 binary64)
(fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)
(neg.f64 (*.f64 y y))
Outputs
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x)
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y)
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) (/.f64 x y))
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) x)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))))
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) (/.f64 x y))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))
(/.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
#s(literal -1/6 binary64)
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))
(fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
(*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)))
(*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)
(*.f64 y y)
y
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))
(fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x))
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (neg.f64 y) y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))
#s(literal -1 binary64)
(fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (*.f64 (neg.f64 y) y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)
(neg.f64 (*.f64 y y))
(*.f64 (neg.f64 y) y)

localize366.0ms (4.7%)

Memory
-12.8MiB live, 229.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.3088347501273904
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))
accuracy31.58859510970886
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
accuracy32.030480744153415
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
accuracy45.84864478879963
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))
accuracy0.1283514882622171
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))))
accuracy0.27962875976844204
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))
accuracy0.28866661614739986
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)
accuracy32.087697366061526
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))
accuracy0.109375
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy0.16015625
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)
accuracy8.353152002816243
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y)
accuracy32.087697366061526
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
accuracy0
(*.f64 y y)
accuracy0.109375
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy0.1283514882622171
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy32.15034061759117
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy0
(/.f64 x y)
accuracy0
(sin.f64 y)
accuracy7.393905790420829
(*.f64 (/.f64 x y) (sin.f64 y))
Samples
275.0ms256×0valid
Compiler

Compiled 353 to 43 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 255.0ms
ival-mult: 173.0ms (67.9% of total)
ival-add: 55.0ms (21.6% of total)
ival-div: 9.0ms (3.5% of total)
const: 9.0ms (3.5% of total)
ival-sin: 6.0ms (2.4% of total)
ival-neg: 2.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory
13.9MiB live, 52.5MiB allocated
Counts
22 → 408
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) (patch (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) (patch (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) (patch (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 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 (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) (patch #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) (patch #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (patch (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) (patch (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (patch #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 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) (taylor 0 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) (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) (taylor -inf x) (#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 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 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 y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (+ (* 1/25401600 (pow x 2)) (+ (* 1/15120 (/ (pow x 2) (pow y 4))) (* 1/14400 (/ (pow x 2) (pow y 4))))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (* 1/25401600 (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)))
2.0ms
x
@-inf
(* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)))
1.0ms
y
@inf
(* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)))
1.0ms
y
@0
(* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)))
1.0ms
x
@inf
(* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)))

simplify296.0ms (3.8%)

Memory
2.2MiB live, 297.3MiB allocated
Algorithm
egg-herbie
Rules
7 771×lower-fma.f64
7 771×lower-fma.f32
3 201×lower-+.f64
3 201×lower-+.f32
2 225×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02555120
17694964
225604720
081284351
Stop Event
iter limit
node limit
Counts
408 → 396
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (* -1/5040 x)))
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (+ (* -1 (/ (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x))) (pow y 4))) (* -1/5040 x))))
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (+ (* -1 (/ (- (* 5040 (/ (+ (* -1/360 (pow x 2)) (+ (* -1/5040 (pow x 2)) (* 1/5040 (pow x 2)))) x)) (+ x (+ (* -42 (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x)))) (* 840 (- (* -1/60 x) (* -1/120 x)))))) (pow y 6))) (+ (* -1 (/ (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x))) (pow y 4))) (* -1/5040 x)))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (* -1/5040 x)))
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (+ (* -1 (/ (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x))) (pow y 4))) (* -1/5040 x))))
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (+ (* -1 (/ (- (* 5040 (/ (+ (* -1/360 (pow x 2)) (+ (* -1/5040 (pow x 2)) (* 1/5040 (pow x 2)))) x)) (+ x (+ (* -42 (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x)))) (* 840 (- (* -1/60 x) (* -1/120 x)))))) (pow y 6))) (+ (* -1 (/ (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x))) (pow y 4))) (* -1/5040 x)))))
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/ (* x (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))
(/ (* x (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))
(/ (* x (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))
(/ (* x (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/6 (pow x 2)) (* 1/6 (pow x 2)))))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/6 (pow x 2)) (+ (* 1/6 (pow x 2)) (* (pow y 2) (+ (* -1/120 (pow x 2)) (+ (* 1/120 (pow x 2)) (* 1/36 (pow x 2)))))))))
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/6 (pow x 2)) (+ (* 1/6 (pow x 2)) (* (pow y 2) (+ (* -1/120 (pow x 2)) (+ (* 1/120 (pow x 2)) (+ (* 1/36 (pow x 2)) (* (pow y 2) (+ (* -1/360 (pow x 2)) (+ (* -1/5040 (pow x 2)) (* 1/5040 (pow x 2)))))))))))))
(* 1/25401600 (* (pow x 2) (pow y 12)))
(* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (* 1/25401600 (pow x 2))))
(* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (+ (* 1/25401600 (pow x 2)) (+ (* 1/15120 (/ (pow x 2) (pow y 4))) (* 1/14400 (/ (pow x 2) (pow y 4)))))))
(* (pow y 12) (+ (* -1/360 (/ (pow x 2) (pow y 6))) (+ (* -1/5040 (/ (pow x 2) (pow y 6))) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (+ (* 1/25401600 (pow x 2)) (+ (* 1/15120 (/ (pow x 2) (pow y 4))) (+ (* 1/14400 (/ (pow x 2) (pow y 4))) (* 1/5040 (/ (pow x 2) (pow y 6))))))))))
(* 1/25401600 (* (pow x 2) (pow y 12)))
(* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (* 1/25401600 (pow x 2))))
(* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (+ (* 1/25401600 (pow x 2)) (+ (* 1/15120 (/ (pow x 2) (pow y 4))) (* 1/14400 (/ (pow x 2) (pow y 4)))))))
(* (pow y 12) (+ (* -1/360 (/ (pow x 2) (pow y 6))) (+ (* -1/5040 (/ (pow x 2) (pow y 6))) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (+ (* 1/25401600 (pow x 2)) (+ (* 1/15120 (/ (pow x 2) (pow y 4))) (+ (* 1/14400 (/ (pow x 2) (pow y 4))) (* 1/5040 (/ (pow x 2) (pow y 6))))))))))
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(* (pow x 2) (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* (pow x 2) (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* (pow x 2) (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* (pow x 2) (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(* -1/5040 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* -1/5040 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(/ -1 x)
(- (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(- (* (pow y 2) (+ (* -13/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(- (* (pow y 2) (+ (* (pow y 2) (- (* 23/3024 (/ (pow y 2) x)) (* 13/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))
(/ -5040 (* x (pow y 6)))
(* -1 (/ (+ (* 5040 (/ 1 x)) (* 211680 (/ 1 (* x (pow y 2))))) (pow y 6)))
(/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6))
(/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6))
(/ -5040 (* x (pow y 6)))
(* -1 (/ (+ (* 5040 (/ 1 x)) (* 211680 (/ 1 (* x (pow y 2))))) (pow y 6)))
(/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6))
(/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
Outputs
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
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(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
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(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
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y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
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(sin.f64 y)
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(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
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(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
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(/ (sin y) y)
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(/ (sin y) y)
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(/ (sin y) y)
(/.f64 (sin.f64 y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
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(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
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(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
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(pow y 2)
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(*.f64 y y)
x
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(/.f64 (-.f64 (/.f64 #s(literal -211680 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 5040 binary64) x)) (pow.f64 y #s(literal 6 binary64)))
(/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6))
(/.f64 (-.f64 (/.f64 #s(literal -5040 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 211680 binary64) x)) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6))
(/.f64 (-.f64 (/.f64 #s(literal 7620480 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 211680 binary64) (*.f64 y y)) #s(literal 5040 binary64)) (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))) (pow.f64 y #s(literal 6 binary64)))
(/ -5040 (* x (pow y 6)))
(/.f64 #s(literal -5040 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x))
(* -1 (/ (+ (* 5040 (/ 1 x)) (* 211680 (/ 1 (* x (pow y 2))))) (pow y 6)))
(/.f64 (-.f64 (/.f64 #s(literal -211680 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 5040 binary64) x)) (pow.f64 y #s(literal 6 binary64)))
(/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6))
(/.f64 (-.f64 (/.f64 #s(literal -5040 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 211680 binary64) x)) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6))
(/.f64 (-.f64 (/.f64 #s(literal 7620480 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 211680 binary64) (*.f64 y y)) #s(literal 5040 binary64)) (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))) (pow.f64 y #s(literal 6 binary64)))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x))
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x))
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x))
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x))

rewrite117.0ms (1.5%)

Memory
0.5MiB live, 224.5MiB allocated
Rules
769×times-frac
595×lower-fma.f32
590×lower-fma.f64
541×lower-*.f32
530×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045428
073529
1246529
21696529
073478
1246279
01696267
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
22 → 445
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y)
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))))
(/.f64 #s(literal 1 binary64) y)
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
(*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)))
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))
Outputs
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(sin.f64 y)
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (neg.f64 x) #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y) x)
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x))
(*.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)))
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y))
(pow.f64 (/.f64 y (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)))) (neg.f64 (neg.f64 y)))
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(+.f64 x (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64))) (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) (*.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) y (*.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) y y)
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) (*.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) y) y)
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) y) (*.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) y) y)
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) (*.f64 #s(literal 1 binary64) y))
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y)))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y)
(+.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))) (fma.f64 (*.f64 (neg.f64 y) y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 y y)) (*.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y) (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x)))
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x))))

eval216.0ms (2.8%)

Memory
-8.7MiB live, 305.5MiB allocated
Compiler

Compiled 27 958 to 1 405 computations (95% saved)

prune286.0ms (3.7%)

Memory
23.3MiB live, 416.6MiB allocated
Pruning

35 alts after pruning (22 fresh and 13 done)

PrunedKeptTotal
New989151 004
Fresh3710
Picked325
Done01111
Total995351 030
Accuracy
100.0%
Counts
1 030 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(/.f64 (*.f64 (sin.f64 y) x) y)
52.1%
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
22.1%
(/.f64 (*.f64 #s(approx (sin y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))) x) y)
3.0%
(/.f64 (*.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)) x) y)
88.7%
(/.f64 (sin.f64 y) (/.f64 y x))
37.4%
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
99.5%
(/.f64 x (/.f64 y (sin.f64 y)))
63.4%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
63.4%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
63.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
86.6%
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
88.4%
(*.f64 (/.f64 x y) (sin.f64 y))
36.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x))
37.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x)))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
49.8%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y))))
49.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
3.0%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y))))
3.0%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (+ (* (* (* y y) y) -1/6) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
49.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
49.1%
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))))
3.0%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
50.4%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
49.8%
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
49.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
49.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
22.8%
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
23.7%
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x)) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))))
26.6%
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) x))))
13.0%
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) x))))
26.2%
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y)) x))))
26.6%
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #s(approx (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x)))))
25.5%
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) y) y) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
37.2%
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
Compiler

Compiled 1 577 to 562 computations (64.4% saved)

regimes58.0ms (0.8%)

Memory
13.1MiB live, 125.8MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x)))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
(/.f64 (*.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)) x) y)
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y))
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (+ (* (* (* y y) y) -1/6) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y))))
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) y) y) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x)) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))))
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
(/.f64 (*.f64 #s(approx (sin y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))) x) y)
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #s(approx (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x)))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y)) x))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) x))))
#s(approx (* x (/ (sin y) y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)))) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) y))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

15.0ms
x
14.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
14.0ms
(/.f64 (sin.f64 y) y)
12.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 x (/.f64 (sin.f64 y) y))
99.8%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes55.0ms (0.7%)

Memory
-33.9MiB live, 72.0MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x)))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
(/.f64 (*.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)) x) y)
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y))
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (+ (* (* (* y y) y) -1/6) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x))
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y))))
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) y) y) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x)) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x))))
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))))
(/.f64 (*.f64 #s(approx (sin y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))) x) y)
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #s(approx (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x)))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y)) x))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) x))))
#s(approx (* x (/ (sin y) y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)))) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)))))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) y))))
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) x))))
Outputs
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
Calls

4 calls:

16.0ms
x
16.0ms
(/.f64 (sin.f64 y) y)
10.0ms
y
10.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
63.5%1x
63.5%1y
63.5%1(*.f64 x (/.f64 (sin.f64 y) y))
63.5%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes13.0ms (0.2%)

Memory
-8.9MiB live, 29.4MiB allocated
Accuracy

Total -30.7b remaining (-96.9%)

Threshold costs -30.7b (-96.9%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x)))
Outputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

4 calls:

4.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
50.4%1(/.f64 (sin.f64 y) y)
50.4%1(*.f64 x (/.f64 (sin.f64 y) y))
50.4%1y
50.4%1x
Compiler

Compiled 20 to 13 computations (35% saved)

simplify6.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01627
12227
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)

soundness490.0ms (6.4%)

Memory
-15.8MiB live, 295.1MiB allocated
Rules
9 961×lower-fma.f64
9 961×lower-fma.f32
8 060×lower-fma.f64
8 060×lower-fma.f32
2 711×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043306
1118306
2310296
3910294
41439294
52227294
63349294
73639294
84369294
96831294
08504276
01212906
13732906
211112644
332942626
472212626
081842445
0512
0818
11918
27218
333618
4179818
0812
11912
27212
333612
0179812
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 50 to 29 computations (42% saved)

preprocess74.0ms (1%)

Memory
22.6MiB live, 104.3MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 154 to 92 computations (40.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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