Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.2%)

Memory
-3.4MiB live, 35.2MiB 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)

sample839.0ms (10.9%)

Memory
29.5MiB live, 1 176.4MiB allocated
Samples
617.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 389.0ms
ival-sin: 203.0ms (52.2% of total)
ival-div: 123.0ms (31.6% of total)
ival-mult: 53.0ms (13.6% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain66.0ms (0.9%)

Memory
-11.7MiB live, 110.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (/.f64 (sin.f64 y) y))
00-0-(/.f64 (sin.f64 y) y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
36.0ms512×0valid
Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 15.0ms (67.5% of total)
ival-div: 4.0ms (18% of total)
ival-mult: 3.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess47.0ms (0.6%)

Memory
15.8MiB live, 51.3MiB allocated
Algorithm
egg-herbie
Rules
600×times-frac
296×associate-*r*
278×associate-*l*
182×unsub-neg
180×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 (sin.f64 y) y) x)
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune0.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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)

simplify4.0ms (0%)

Memory
9.6MiB live, 9.6MiB 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
12×lower-*.f32
10×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 (sin.f64 y) y) x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize27.0ms (0.3%)

Memory
-34.8MiB live, 50.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 y)
accuracy0.09375
(*.f64 x (/.f64 (sin.f64 y) y))
accuracy0.15625
(/.f64 (sin.f64 y) y)
Samples
23.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 9.0ms (54.8% of total)
ival-div: 4.0ms (24.4% of total)
ival-mult: 2.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.9MiB live, 12.8MiB 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 (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 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 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 (/ (* 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 (/ (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) (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 -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 (/ (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) (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 (/.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>) () ())) ())
Calls

6 calls:

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

simplify178.0ms (2.3%)

Memory
-2.6MiB live, 160.9MiB allocated
Algorithm
egg-herbie
Rules
16 120×lower-fma.f64
16 120×lower-fma.f32
4 374×lower-*.f64
4 374×lower-*.f32
2 386×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043306
1118306
2310296
3920294
41456294
52250294
63376294
73667294
84402294
96851294
08532276
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
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
(+ 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)))
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))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) 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)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) 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)
Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.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)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
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 #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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))))
(*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

rewrite66.0ms (0.9%)

Memory
19.2MiB live, 57.9MiB allocated
Rules
836×lower-*.f32
834×lower-*.f64
718×lower-/.f32
716×lower-/.f64
220×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
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 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) 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) y) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #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) y) x) #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) y) x))
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (sin.f64 y) y) x))
(-.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) y) x))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.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 (neg.f64 (sin.f64 y)) 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 (neg.f64 (sin.f64 y)) 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 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y))) (/.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) 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 (neg.f64 (sin.f64 y)) 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 (neg.f64 (sin.f64 y)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) 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))

eval22.0ms (0.3%)

Memory
3.7MiB live, 42.3MiB allocated
Compiler

Compiled 2 248 to 433 computations (80.7% saved)

prune18.0ms (0.2%)

Memory
-12.7MiB live, 31.7MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New18613199
Fresh000
Picked011
Done000
Total18614200
Accuracy
100.0%
Counts
200 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.8%
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
91.0%
(/.f64 (*.f64 (sin.f64 y) x) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
58.5%
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
91.3%
(*.f64 (/.f64 x y) (sin.f64 y))
89.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
90.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
44.8%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
66.5%
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
45.1%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
45.3%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
44.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
45.8%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Compiler

Compiled 320 to 201 computations (37.2% saved)

simplify148.0ms (1.9%)

Memory
-6.7MiB live, 107.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (sin.f64 y))
cost-diff256
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y)))
cost-diff640
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
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 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)) y)
cost-diff0
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
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 y (sin.f64 y))
cost-diff384
(/.f64 x (/.f64 y (sin.f64 y)))
Rules
12 026×lower-fma.f32
12 024×lower-fma.f64
2 270×lower-*.f32
2 256×lower-*.f64
1 620×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024144
042138
175138
2176136
3692132
42980132
54134132
65172132
75973132
86594132
96740132
106873132
117655132
08009128
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
x
(/.f64 y (sin.f64 y))
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)
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
x
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) 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)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
y
(neg.f64 (*.f64 y y))
(*.f64 y y)
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)
(*.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)
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
x
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) 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 #s(literal -1/6 binary64) (*.f64 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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
y
(neg.f64 (*.f64 y y))
(*.f64 (neg.f64 y) y)
(*.f64 y y)

localize84.0ms (1.1%)

Memory
7.7MiB live, 126.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 y)
accuracy0.1484375
(*.f64 (neg.f64 x) (sin.f64 y))
accuracy12.483790585934472
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y)))
accuracy13.756382071093075
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
accuracy0.00390625
(sin.f64 y)
accuracy0.1484375
(*.f64 (sin.f64 y) x)
accuracy5.761546541788362
(/.f64 (*.f64 (sin.f64 y) x) y)
accuracy0.08203125
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy0.09375
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
accuracy0.15625
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)
accuracy35.31899248446339
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
accuracy0.09375
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy34.96219936240308
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0.00390625
(sin.f64 y)
accuracy0.078125
(/.f64 x (/.f64 y (sin.f64 y)))
accuracy0.15625
(/.f64 y (sin.f64 y))
Samples
70.0ms256×0valid
Compiler

Compiled 117 to 22 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-sin: 25.0ms (44.2% of total)
ival-mult: 17.0ms (30.1% of total)
ival-div: 8.0ms (14.2% of total)
const: 3.0ms (5.3% of total)
ival-neg: 2.0ms (3.5% of total)
ival-add: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-0.3MiB live, 38.5MiB allocated
Counts
16 → 288
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 (*.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 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) 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)) y) (patch (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) 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 (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 (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 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<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 (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 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 (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 x (taylor 0 y) (#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 (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#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 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#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 (+ 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 #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 1 (taylor 0 y) (#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 (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#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 x (taylor 0 y) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) (patch (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) (patch (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) (patch (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) (patch (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1))
3.0ms
y
@inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1))
2.0ms
y
@-inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1))
2.0ms
x
@-inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1))
1.0ms
x
@0
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1))

simplify601.0ms (7.8%)

Memory
-20.9MiB live, 222.1MiB allocated
Algorithm
egg-herbie
Rules
15 924×lower-fma.f64
15 924×lower-fma.f32
5 428×lower-*.f64
5 428×lower-*.f32
2 162×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001914
12961881
28591849
326251829
464171829
081901735
Stop Event
iter limit
node limit
Counts
288 → 280
Calls
Call 1
Inputs
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
(+ 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
(* 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))))
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
(+ 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)))
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
(+ 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)))
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))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (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 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
(+ 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 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)))))) y)
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ 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)
(/ (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)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -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))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -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))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ 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)
(/ (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)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -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)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -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))
(/ (* 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))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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))))
(*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
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 #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
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 #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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))))
(*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #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 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
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(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y))
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y))
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y))
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (sin.f64 y) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite174.0ms (2.3%)

Memory
26.3MiB live, 104.3MiB allocated
Rules
2 934×lower-*.f32
2 920×lower-*.f64
2 404×lower-fma.f32
2 402×lower-fma.f64
2 086×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024118
042112
1121110
2629106
04991102
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
16 → 937
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) 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)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 y y))
(*.f64 (/.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) y))
(*.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (sin.f64 y))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (sin.f64 y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (*.f64 y (/.f64 (neg.f64 (sin.f64 y)) y)) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 y (/.f64 x y)) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 y (/.f64 (sin.f64 y) y)) (/.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 y (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) (*.f64 y y)))
(*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.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 y (/.f64 #s(literal 1 binary64) x)) (/.f64 (sin.f64 y) (*.f64 y y)))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (neg.f64 x) (*.f64 y y)))
(*.f64 (/.f64 y (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 y (/.f64 y x)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) 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 (neg.f64 x) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 (*.f64 (sin.f64 y) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (sin.f64 y) y) (neg.f64 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) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 (/.f64 (neg.f64 x) y) y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 y (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (*.f64 (neg.f64 y) x) y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (*.f64 (neg.f64 y) x))
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 x y) (/.f64 y (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (sin.f64 y))) (/.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (sin.f64 y))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 y (*.f64 (sin.f64 y) 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) (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 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) (*.f64 y y)) y))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 y (*.f64 (/.f64 (neg.f64 y) x) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 y y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (sin.f64 y))))
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) y)
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 y) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (/.f64 y x)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 x y) y))
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(*.f64 (sin.f64 y) (*.f64 (/.f64 x (*.f64 y y)) y))
(*.f64 (sin.f64 y) (*.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 y (*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)))
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (*.f64 y y)) y))
(*.f64 x (/.f64 y (*.f64 y (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (*.f64 (sin.f64 y) y) (*.f64 y y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 (sin.f64 y)) y)) y)
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (sin.f64 y) y)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) y) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) y) y)
(/.f64 (*.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))))))
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) (*.f64 y (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (/.f64 y (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 y (/.f64 y x)) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y x))
(/.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (*.f64 (sin.f64 y) x))))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(/.f64 (*.f64 (/.f64 x y) y) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 x y) (*.f64 (/.f64 y (sin.f64 y)) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (neg.f64 (sin.f64 y)) y)) x)
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (sin.f64 y)) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 (sin.f64 y)) y)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (sin.f64 y)) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) x)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) y))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (*.f64 x x)))
(/.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 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x)) y))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 y (*.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 y (*.f64 (/.f64 y (*.f64 (sin.f64 y) x)) y))
(/.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 #s(literal 1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))
(neg.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 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 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
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(/.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 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(/.f64 #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 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #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)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #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 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y) (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 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (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 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (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 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 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 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y) (/.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 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (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 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (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 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) (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 y (*.f64 #s(literal -1/6 binary64) 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 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 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 y y) y) y) (/.f64 #s(literal 1/36 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)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))

eval813.0ms (10.5%)

Memory
-162.1MiB live, 179.0MiB allocated
Compiler

Compiled 17 361 to 1 884 computations (89.1% saved)

prune101.0ms (1.3%)

Memory
13.3MiB live, 95.5MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New1 236211 257
Fresh358
Picked325
Done011
Total1 242291 271
Accuracy
100.0%
Counts
1 271 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(/.f64 (*.f64 (sin.f64 y) x) y)
91.4%
(/.f64 (sin.f64 y) (/.f64 y x))
36.9%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
45.1%
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
44.8%
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
59.9%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.8%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.8%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
36.0%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)))
58.5%
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y y)) y)
91.3%
(*.f64 (/.f64 x y) (sin.f64 y))
37.3%
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
90.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
35.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))
60.1%
(*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.f64 y y)))
91.2%
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
37.2%
(*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
49.8%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
44.3%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y))
44.4%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y))
44.3%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))
2.7%
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
44.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
45.1%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
45.3%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
44.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
45.8%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
44.9%
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
Compiler

Compiled 868 to 498 computations (42.6% saved)

simplify184.0ms (2.4%)

Memory
-16.6MiB live, 104.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y))
cost-diff128
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff320
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)
cost-diff1408
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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)))))
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 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
cost-diff384
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
cost-diff0
#s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
cost-diff0
(/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)
cost-diff0
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
cost-diff0
(/.f64 y x)
cost-diff0
(sin.f64 y)
cost-diff384
(/.f64 (sin.f64 y) (/.f64 y x))
Rules
3 736×lower-fma.f32
3 726×lower-fma.f64
3 134×lower-*.f32
3 116×lower-*.f64
1 414×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042425
072419
1126388
2224380
3483370
41627342
54744337
65934337
76981337
87822337
08015324
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (/.f64 y x))
(sin.f64 y)
y
(/.f64 y x)
x
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
x
(/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)
#s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
x
(/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
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)
#s(literal 1 binary64)
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y))
x
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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)))))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
#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 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(sin.f64 y)
y
(/.f64 y x)
x
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
(*.f64 (/.f64 x y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))
x
(/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)
#s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 x (/.f64 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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
x
(/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
(/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
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 #s(literal -1/6 binary64) (*.f64 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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
x
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y))
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 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 y y) y) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) y)
(*.f64 #s(literal -1/6 binary64) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))
#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 #s(literal -1 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)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize201.0ms (2.6%)

Memory
-5.8MiB live, 121.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.33203125
(*.f64 #s(literal -1/6 binary64) y)
accuracy4.693944092302208
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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)))))
accuracy16.91424005454597
(/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
accuracy35.31899248446339
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y))
accuracy0.078125
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
accuracy0.08203125
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy0.15625
(/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
accuracy35.31899248446339
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
accuracy0.15625
(/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)
accuracy0.16015625
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
accuracy27.30467147852874
#s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))
accuracy35.31899248446339
#s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
accuracy0
(*.f64 y y)
accuracy0.12109375
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
accuracy7.377990167541409
(*.f64 (*.f64 y y) x)
accuracy35.25234743436518
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
accuracy0
(/.f64 y x)
accuracy0.00390625
(sin.f64 y)
accuracy5.477615583152154
(/.f64 (sin.f64 y) (/.f64 y x))
Samples
147.0ms256×0valid
Compiler

Compiled 257 to 37 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-div: 61.0ms (48% of total)
ival-mult: 46.0ms (36.2% of total)
ival-sin: 7.0ms (5.5% of total)
ival-add: 6.0ms (4.7% of total)
const: 6.0ms (4.7% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series56.0ms (0.7%)

Memory
0.1MiB live, 36.3MiB allocated
Counts
24 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) #<representation binary64>) () ())
#s(alt #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 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 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 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (/.f64 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 #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 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 (*.f64 y y) y) #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>) () ())
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) y) (patch (*.f64 #s(literal -1/6 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 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 (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<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 (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
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#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 (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) 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 (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) 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 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) 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 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) 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 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<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 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 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 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 (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 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 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 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 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 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 (+ 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 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) (patch (/.f64 x (/.f64 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 1 (taylor 0 y) (#s(alt (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (/.f64 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 (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (/.f64 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 (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt y (taylor 0 y) (#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 (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#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 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#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 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#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 y (taylor 0 y) (#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 (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#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 (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#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>) () ())) ())
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#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) 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 (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 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 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 (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 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 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 (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 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 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 (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 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 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 (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y))
4.0ms
y
@-inf
((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y))
3.0ms
y
@0
((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y))
2.0ms
x
@-inf
((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y))
2.0ms
x
@0
((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y))

simplify237.0ms (3.1%)

Memory
9.9MiB live, 162.7MiB allocated
Algorithm
egg-herbie
Rules
13 752×lower-fma.f64
13 752×lower-fma.f32
4 660×lower-*.f64
4 660×lower-*.f32
3 328×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01502500
14202422
210912402
332712392
085372248
Stop Event
iter limit
node limit
Counts
384 → 371
Calls
Call 1
Inputs
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))))))
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))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
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
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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))))))
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)))
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))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (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))))))
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
(* 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))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (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))))))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
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))))
(* 1/6 y)
(* y (+ 1/6 (* -1/36 (pow y 2))))
(* y (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36))))
(* y (+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36))))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -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))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* -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 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 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))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -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))
(sin y)
(sin y)
(sin y)
(sin y)
(/ 1 y)
(/ (- 1 (* 6 (/ 1 (pow y 2)))) y)
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) y)
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -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)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* -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 (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 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)))))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -1/6 (pow y 3))
(* -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))
(sin y)
(sin y)
(sin y)
(sin y)
(/ 1 y)
(* -1 (/ (- (* 6 (/ 1 (pow y 2))) 1) y))
(* -1 (/ (- (* 6 (/ 1 (pow y 2))) (+ 1 (/ 36 (pow y 4)))) y))
(* -1 (/ (- (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6)))) (+ 1 (/ 36 (pow y 4)))) y))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 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)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(/ (* 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)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(/ (* 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)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(/ (* 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)
Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
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))))
(*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
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 #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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))))
(*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #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 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
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))))
(*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #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 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
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 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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) (- (* 1/36 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
(* -1/6 (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(* -1/6 (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(* -1/6 (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(* -1/6 (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
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 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
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))))
(*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* y (+ 1/6 (* -1/36 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* y (+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1296 binary64) (*.f64 y y) #s(literal 1/216 binary64)) (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
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(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

rewrite373.0ms (4.8%)

Memory
27.9MiB live, 221.0MiB allocated
Rules
6 210×lower-fma.f32
6 200×lower-fma.f64
4 478×lower-/.f32
4 462×lower-/.f64
3 958×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042327
072304
1246300
21502292
08883289
Stop Event
iter limit
node limit
iter limit
Counts
24 → 894
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (/.f64 y x))
(sin.f64 y)
(/.f64 y x)
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
(/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)
#s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))
#s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
(/.f64 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 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 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y))
(/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) y)
Outputs
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (/.f64 x y))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) #s(literal -1 binary64)))
(*.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 (/.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.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 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y))
(neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)))
(sin.f64 y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (*.f64 y #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y (*.f64 x #s(literal 1 binary64)))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
#s(approx (/ (* (sin y) x) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) #s(literal 1/36 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x (neg.f64 x)))))
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(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (*.f64 y y) y)) (neg.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) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) y))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 y (/.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 -1/6 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))
(*.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #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) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 #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 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y 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 y (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 #s(literal -1/6 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 (*.f64 #s(literal -1/6 binary64) 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 y #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1/6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) 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 -1/6 binary64) y))
(*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(*.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y)))))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 y (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(pow.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))))
(/.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(/.f64 (*.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y))))
(/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y)))
(/.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y))
(neg.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(neg.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) (*.f64 #s(literal 1/6 binary64) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) y)
(*.f64 y #s(literal -1/6 binary64))

eval331.0ms (4.3%)

Memory
14.9MiB live, 287.1MiB allocated
Compiler

Compiled 43 888 to 3 953 computations (91% saved)

prune149.0ms (1.9%)

Memory
-23.2MiB live, 138.1MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1 363101 373
Fresh61521
Picked325
Done033
Total1 372301 402
Accuracy
100.0%
Counts
1 402 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(/.f64 (*.f64 (sin.f64 y) x) y)
91.4%
(/.f64 (sin.f64 y) (/.f64 y x))
36.9%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
44.8%
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
45.1%
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
2.7%
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))))
59.9%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.8%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.8%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
2.7%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x)))
58.5%
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y y)) y)
91.3%
(*.f64 (/.f64 x y) (sin.f64 y))
90.8%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
35.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))
60.1%
(*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.f64 y y)))
91.2%
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
49.8%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
44.3%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y))
43.8%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y))
44.4%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y))
2.7%
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
2.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
45.1%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
45.3%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
45.8%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
44.9%
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
44.9%
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
44.9%
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
2.7%
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
Compiler

Compiled 865 to 487 computations (43.7% saved)

simplify129.0ms (1.7%)

Memory
24.0MiB live, 210.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y))
cost-diff128
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff320
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)
cost-diff1408
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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)))))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
cost-diff0
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (sin.f64 y))
Rules
7 584×lower-fma.f32
7 572×lower-fma.f64
2 840×lower-*.f32
2 820×lower-*.f64
1 658×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045420
075414
1136398
2254381
3578381
41627353
54802348
66201348
77965348
08076341
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)
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
x
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
(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)
#s(literal 1 binary64)
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y))
x
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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)))))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y)
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
#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 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x y)
x
y
(sin.f64 y)
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y)))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y)
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
x
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
x
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
(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)
#s(literal 1 binary64)
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y))
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) (/.f64 x y))
x
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y))
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)
(*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y)
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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))
#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 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize188.0ms (2.4%)

Memory
-17.7MiB live, 277.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.25129715402015207
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.2740913401410183
(/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
accuracy26.170527137470483
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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)))))
accuracy35.31899248446339
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y))
accuracy0.04296875
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
accuracy0.0703125
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy0.09375
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy35.15568260369856
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0
(*.f64 y y)
accuracy0.078125
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.08203125
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy34.569428322023036
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.13671875
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
accuracy7.371012308629964
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
accuracy27.65775875756191
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
accuracy35.25234743436518
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
accuracy0
(/.f64 x y)
accuracy0.00390625
(sin.f64 y)
accuracy5.567256274152081
(*.f64 (/.f64 x y) (sin.f64 y))
Samples
126.0ms256×0valid
Compiler

Compiled 276 to 44 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-add: 43.0ms (42.1% of total)
ival-mult: 25.0ms (24.5% of total)
ival-div: 14.0ms (13.7% of total)
const: 11.0ms (10.8% of total)
ival-sin: 7.0ms (6.8% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
14.7MiB live, 90.6MiB allocated
Counts
23 → 372
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 #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (patch #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (patch (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
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#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>) () ())) ())
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#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (patch (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<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 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<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 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<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 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) 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 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 (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (patch #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (patch #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (patch #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (patch #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (patch (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (patch (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (patch (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (patch (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1)))
3.0ms
y
@inf
((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1)))
2.0ms
y
@0
((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1)))
2.0ms
x
@-inf
((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1)))
2.0ms
x
@inf
((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1)))

simplify254.0ms (3.3%)

Memory
-17.9MiB live, 258.1MiB allocated
Algorithm
egg-herbie
Rules
24 562×lower-fma.f64
24 562×lower-fma.f32
5 556×lower-*.f64
5 556×lower-*.f32
3 904×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01652724
14472694
212072674
336612656
085532514
Stop Event
iter limit
node limit
Counts
372 → 363
Calls
Call 1
Inputs
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 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))))
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
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (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))))))
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)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (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))))))
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)))
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)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (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))))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
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))))
1/6
(+ 1/6 (* -1/36 (pow y 2)))
(+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))
(+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36)))
-1
(- (* 1/6 (pow y 2)) 1)
(- (* (pow y 2) (+ 1/6 (* -1/36 (pow y 2)))) 1)
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))) 1)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x 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)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -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 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))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(sin y)
(sin y)
(sin y)
(sin y)
(/ 1 (pow y 2))
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2))
(/ -6 (pow y 2))
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x 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)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -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 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)))))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(sin y)
(sin y)
(sin y)
(sin y)
(/ 1 (pow y 2))
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2))
(/ -6 (pow y 2))
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/ (* 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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(/ (* 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)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(/ (* 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)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(/ (* 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)
Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x 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))))
(*.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
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(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal 6 binary64)) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
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(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
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(/ x y)
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(sin y)
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(sin y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
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(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
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(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
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(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(* 1/6 (pow y 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) 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)
(* -1/5040 (pow y 6))
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(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* -1/5040 (pow y 4))
(*.f64 (*.f64 #s(literal -1/5040 binary64) y) (*.f64 (*.f64 y y) y))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))
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(*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))))
(* -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 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* -1/6 (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
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(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
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(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal 6 binary64))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal 6 binary64))) (/.f64 #s(literal 1296 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1/5040 (pow y 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 y y))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 216 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y))
(/ -6 (pow y 2))
(/.f64 #s(literal -6 binary64) (*.f64 y y))
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal 6 binary64)) (*.f64 y y))
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal 6 binary64)) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 y y))
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal 6 binary64)) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
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(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) 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 (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(/ x y)
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(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
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(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

rewrite343.0ms (4.4%)

Memory
24.3MiB live, 380.2MiB allocated
Rules
6 246×lower-fma.f32
6 234×lower-fma.f64
4 328×lower-/.f32
4 318×lower-/.f64
4 300×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045323
075310
1269306
21749298
08160296
Stop Event
iter limit
node limit
iter limit
Counts
23 → 652
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(sin.f64 y)
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y))
(/.f64 #s(literal -1/6 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)))
Outputs
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.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 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y x))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(sin.f64 y)
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))
(*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)
(*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) y))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x))
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))
(*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) x))
(*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(*.f64 y (*.f64 #s(literal -1/6 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))
(neg.f64 (/.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) (/.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) #s(literal -1 binary64)))
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 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 #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 (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 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 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 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 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)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))
(/.f64 (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 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (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 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) (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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) #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 (*.f64 y y) #s(literal -1/604800 binary64)))) (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 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 #s(literal -1/5040 binary64) y) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))
(+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))
#s(approx (sin y) (*.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) y))
(*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal -1/6 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(pow.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64)))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (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 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (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))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(literal -1 binary64)))

eval210.0ms (2.7%)

Memory
20.2MiB live, 408.1MiB allocated
Compiler

Compiled 41 432 to 3 705 computations (91.1% saved)

prune86.0ms (1.1%)

Memory
-24.7MiB live, 186.9MiB allocated
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New1 176141 190
Fresh61420
Picked325
Done055
Total1 185351 220
Accuracy
100.0%
Counts
1 220 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(/.f64 (*.f64 (sin.f64 y) x) y)
91.4%
(/.f64 (sin.f64 y) (/.f64 y x))
36.9%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
44.8%
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
2.7%
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))))
59.9%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.8%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.8%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
47.9%
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
44.6%
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))
47.9%
(/.f64 x #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))))))
44.6%
(/.f64 x #s(approx (/ y (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))))
18.4%
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
59.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
2.7%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x)))
58.5%
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y y)) y)
91.3%
(*.f64 (/.f64 x y) (sin.f64 y))
36.4%
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
59.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x)
35.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))
91.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y))
60.1%
(*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.f64 y y)))
49.8%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
43.7%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y))
43.8%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y))
44.4%
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y))
2.7%
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
2.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
45.1%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
45.3%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
45.8%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
44.9%
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
2.7%
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
2.7%
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
Compiler

Compiled 1 438 to 507 computations (64.7% saved)

regimes119.0ms (1.5%)

Memory
18.2MiB live, 253.2MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.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) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x)
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #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) #s(approx (* (+ (* (* y y) -1/6) 1) 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 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)))
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
(/.f64 x #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))))))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y))
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))
(/.f64 x #s(approx (/ y (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y y)) y)
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
Calls

4 calls:

55.0ms
x
23.0ms
(/.f64 (sin.f64 y) y)
21.0ms
y
17.0ms
(*.f64 x (/.f64 (sin.f64 y) 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)

regimes154.0ms (2%)

Memory
-25.9MiB live, 133.3MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.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) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x)
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #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) #s(approx (* (+ (* (* y y) -1/6) 1) 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 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)))
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
(/.f64 x #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))))))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y))
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))
(/.f64 x #s(approx (/ y (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

76.0ms
y
31.0ms
(/.f64 (sin.f64 y) y)
29.0ms
x
16.0ms
(*.f64 x (/.f64 (sin.f64 y) 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)

regimes59.0ms (0.8%)

Memory
2.1MiB live, 115.5MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.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) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x)
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #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) #s(approx (* (+ (* (* y y) -1/6) 1) 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 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)))
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
(/.f64 x #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))))))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y))
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))
(/.f64 x #s(approx (/ y (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (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))))) y)) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 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))))) y)) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y))
Outputs
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

4 calls:

15.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
14.0ms
y
13.0ms
x
13.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
59.9%1x
59.9%1y
59.9%1(*.f64 x (/.f64 (sin.f64 y) y))
59.9%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes42.0ms (0.5%)

Memory
9.9MiB live, 70.2MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.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) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x)
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #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) #s(approx (* (+ (* (* y y) -1/6) 1) 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 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)))
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))
Outputs
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

4 calls:

12.0ms
(/.f64 (sin.f64 y) y)
9.0ms
y
9.0ms
x
9.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
59.8%1(*.f64 x (/.f64 (sin.f64 y) y))
59.8%1y
59.8%1(/.f64 (sin.f64 y) y)
59.8%1x
Compiler

Compiled 20 to 13 computations (35% saved)

regimes29.0ms (0.4%)

Memory
-16.3MiB live, 61.9MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.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) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x)
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y))
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y))
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
Outputs
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

4 calls:

7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms
(/.f64 (sin.f64 y) y)
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
59.8%1(*.f64 x (/.f64 (sin.f64 y) y))
59.8%1y
59.8%1x
59.8%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes18.0ms (0.2%)

Memory
-1.1MiB live, 38.0MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
Outputs
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
Calls

4 calls:

5.0ms
y
4.0ms
x
4.0ms
(/.f64 (sin.f64 y) y)
4.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
59.0%2(*.f64 x (/.f64 (sin.f64 y) y))
59.8%2y
58.2%2x
59.8%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes15.0ms (0.2%)

Memory
-11.1MiB live, 29.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
Outputs
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
Calls

3 calls:

6.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
y
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
58.2%2(*.f64 x (/.f64 (sin.f64 y) y))
58.8%2(/.f64 (sin.f64 y) y)
58.9%2y
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes16.0ms (0.2%)

Memory
-1.2MiB live, 37.7MiB allocated
Accuracy

Total -27.8b remaining (-80%)

Threshold costs -27.8b (-80%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

4 calls:

3.0ms
x
3.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
y
3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
45.8%1x
45.8%1(*.f64 x (/.f64 (sin.f64 y) y))
45.8%1(/.f64 (sin.f64 y) y)
45.8%1y
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch7.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
1575.75533695332
2258.6203615843788
Samples
4.0ms64×0valid
Compiler

Compiled 107 to 66 computations (38.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sin: 2.0ms (66.6% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1575.75533695332
2258.6203615843788
Compiler

Compiled 95 to 58 computations (38.9% saved)

simplify9.0ms (0.1%)

Memory
-19.6MiB live, 19.0MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054148
163148
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) x)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y))
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) x)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)

soundness1.1s (14.7%)

Memory
12.0MiB live, 878.5MiB allocated
Rules
24 562×lower-fma.f64
24 562×lower-fma.f32
16 120×lower-fma.f64
16 120×lower-fma.f32
15 924×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043306
1118306
2310296
3920294
41456294
52250294
63376294
73667294
84402294
96851294
08532276
0512
0812
11912
27212
333612
0179812
01001914
12961881
28591849
326251829
464171829
081901735
01652724
14472694
212072674
336612656
085532514
042327
072304
1246300
21502292
08883289
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 318 to 156 computations (50.9% saved)

preprocess111.0ms (1.4%)

Memory
5.4MiB live, 255.8MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 314 to 138 computations (56.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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