Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB 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)

sample990.0ms (13.6%)

Memory
-9.4MiB live, 1 036.4MiB allocated
Samples
710.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 392.0ms
ival-sin: 230.0ms (58.6% of total)
ival-div: 99.0ms (25.2% of total)
ival-mult: 54.0ms (13.8% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

explain195.0ms (2.7%)

Memory
-15.2MiB live, 100.3MiB 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
165.0ms512×0valid
Compiler

Compiled 38 to 19 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-sin: 83.0ms (54.4% of total)
ival-mult: 65.0ms (42.6% of total)
ival-div: 4.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess46.0ms (0.6%)

Memory
9.1MiB live, 52.3MiB allocated
Algorithm
egg-herbie
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 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(*.f64 x (/.f64 (sin.f64 y) y))
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

localize22.0ms (0.3%)

Memory
-0.5MiB live, 37.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0.11328125
(*.f64 x (/.f64 (sin.f64 y) y))
accuracy0.14453125
(/.f64 (sin.f64 y) y)
Samples
17.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 8.0ms (69.9% of total)
ival-div: 2.0ms (17.5% of total)
ival-mult: 2.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-23.6MiB live, 15.3MiB 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))

simplify201.0ms (2.8%)

Memory
-5.9MiB live, 280.2MiB allocated
Algorithm
egg-herbie
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))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 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)) 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
10.7MiB live, 89.2MiB allocated
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
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eval42.0ms (0.6%)

Memory
0.3MiB live, 40.7MiB allocated
Compiler

Compiled 2 112 to 446 computations (78.9% saved)

prune11.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New18811199
Fresh000
Picked011
Done000
Total18812200
Accuracy
100.0%
Counts
200 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
85.3%
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
85.4%
(/.f64 (*.f64 (sin.f64 y) x) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
48.8%
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
88.3%
(*.f64 (/.f64 x y) (sin.f64 y))
85.3%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
57.8%
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
51.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
53.0%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Compiler

Compiled 188 to 159 computations (15.4% saved)

simplify128.0ms (1.8%)

Memory
-5.4MiB live, 34.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (sin.f64 y))
cost-diff640
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (sin.f64 y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff64
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
cost-diff-384
(*.f64 (/.f64 x y) (sin.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 x 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-diff0
(/.f64 x (/.f64 y (sin.f64 y)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021107
03598
16298
217596
375396
4303696
5458296
6563096
7610296
8623496
9629896
10632396
11717396
12783596
0803796
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 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
(*.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)))
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 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(*.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)

localize216.0ms (3%)

Memory
16.6MiB live, 52.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0.16015625
(*.f64 (neg.f64 x) (sin.f64 y))
accuracy14.628495895034266
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
accuracy17.721159644594824
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y)))
accuracy0
(sin.f64 y)
accuracy0
(neg.f64 x)
accuracy0.16015625
(*.f64 (neg.f64 x) (sin.f64 y))
accuracy9.399845794613853
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
accuracy0
(/.f64 x y)
accuracy0
(sin.f64 y)
accuracy7.461596714572131
(*.f64 (/.f64 x y) (sin.f64 y))
accuracy0.11328125
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy30.329974197332344
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0
(sin.f64 y)
accuracy0.109375
(/.f64 x (/.f64 y (sin.f64 y)))
accuracy0.1328125
(/.f64 y (sin.f64 y))
Samples
195.0ms256×0valid
Compiler

Compiled 105 to 21 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-sin: 161.0ms (88.7% of total)
ival-div: 9.0ms (5% of total)
ival-mult: 8.0ms (4.4% of total)
ival-neg: 2.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series208.0ms (2.9%)

Memory
-21.5MiB live, 15.9MiB allocated
Counts
13 → 252
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 y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) 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 (*.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>) () ())
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 y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.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 (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>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#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 (/ (* x (sin y)) y) (taylor -inf x) (#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 (/ (* x (sin y)) y) (taylor -inf x) (#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 (/ (* x (sin y)) y) (taylor -inf x) (#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 (/ (* 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 (/ (* 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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
192.0ms
y
@inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))))
3.0ms
x
@inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))))
2.0ms
x
@-inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))))
2.0ms
y
@-inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))))
2.0ms
x
@0
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))))

simplify336.0ms (4.6%)

Memory
-7.2MiB live, 232.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0881582
12521579
27091545
321031529
435591529
554211529
081071471
Stop Event
iter limit
node limit
Counts
252 → 246
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 y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
x
(+ 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 y)
(/ -1 y)
(/ -1 y)
(/ -1 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)))))))))
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)
(/ (* 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 y)
(/ x y)
(/ x y)
(/ x 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)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* 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))
(/ (* 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 y)
(/ x y)
(/ x y)
(/ x 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)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* x (sin y)))
(* -1 (* 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))
(/ (* x (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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -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)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (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 y)
(/ x y)
(/ x y)
(/ x 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)
(* -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)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (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 y)
(/ x y)
(/ x y)
(/ x 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)
(* -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)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
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 (*.f64 y y) 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)) 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))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 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)) 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 (*.f64 y y) 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)) 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 y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x 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 (*.f64 y y) 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)) x)
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 (*.f64 y y) 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)) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) 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)) x) (neg.f64 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 (*.f64 y y) 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)) x)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y)
(*.f64 x (/.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))
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y)
(/.f64 (fma.f64 (*.f64 (*.f64 y y) 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)) 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 (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))
(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)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
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(/.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 (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)
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(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* 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))
(/ (* 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)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 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)
(/ 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))
(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)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 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 (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 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* 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))
(/ (* 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)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 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 (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)
(/.f64 x y)
(/ 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 (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 (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)
(/ (* 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)
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(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 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 (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)
(/.f64 x y)
(/ x y)
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(/ x y)
(/.f64 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 (sin y)) 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)
(* -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)
(/ (* 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)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* 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)
(/.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)
(/.f64 x y)
(/ 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 (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 (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)
(/ (* 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)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)

rewrite92.0ms (1.3%)

Memory
29.8MiB live, 67.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02176
03567
19465
248865
0376765
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
13 → 898
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 y)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 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)))
Outputs
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eval317.0ms (4.4%)

Memory
-5.0MiB live, 235.0MiB allocated
Compiler

Compiled 14 676 to 1 321 computations (91% saved)

prune95.0ms (1.3%)

Memory
2.9MiB live, 77.7MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New1 28791 296
Fresh426
Picked145
Done011
Total1 292161 308
Accuracy
100.0%
Counts
1 308 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))
49.6%
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
85.4%
(/.f64 (*.f64 (sin.f64 y) x) y)
89.2%
(/.f64 (sin.f64 y) (/.f64 y x))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
99.6%
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
62.6%
(/.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))))
62.8%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
50.4%
(*.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x)) (sin.f64 y))
88.3%
(*.f64 (/.f64 x y) (sin.f64 y))
85.3%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
49.6%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
51.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
53.0%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
51.9%
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
Compiler

Compiled 231 to 188 computations (18.6% saved)

simplify263.0ms (3.6%)

Memory
11.8MiB live, 50.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) (/.f64 y x))
cost-diff0
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#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)))
cost-diff0
(/.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))))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y))
cost-diff0
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) 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 (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 y))
cost-diff0
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033168
052171
195168
2213158
3602158
42037158
53649158
65034158
75300158
85377158
95410158
105641158
116056158
126736158
137398158
147532158
157620158
167632158
177636158
187636158
197776158
207827158
217937158
227955158
08009158
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
x
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
#s(literal -1 binary64)
(sin.f64 y)
y
(neg.f64 y)
#s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
#s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y))
(/.f64 x y)
x
y
(/.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))))
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)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) (/.f64 y x))
(sin.f64 y)
y
(/.f64 y x)
x
Outputs
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
x
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
#s(literal -1 binary64)
(sin.f64 y)
y
(neg.f64 y)
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
#s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y))
(/.f64 x y)
x
y
(/.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))))
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)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(sin.f64 y)
y
(/.f64 y x)
x

localize121.0ms (1.7%)

Memory
-0.3MiB live, 83.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(sin.f64 y)
accuracy6.9400767979398506
(/.f64 (sin.f64 y) (/.f64 y x))
accuracy0.03515625
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.06640625
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy0.109375
(/.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))))
accuracy30.54157514944206
#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)))
accuracy0
(/.f64 x y)
accuracy14.628495895034266
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
accuracy23.870776562502066
#s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y))
accuracy0
(*.f64 y y)
accuracy0.140625
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
accuracy5.157246192093712
(*.f64 (*.f64 y y) x)
accuracy30.77000293901127
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
accuracy0
(neg.f64 y)
accuracy0.09375
(/.f64 #s(literal -1 binary64) (sin.f64 y))
accuracy0.109375
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
accuracy0.1953125
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
Samples
103.0ms256×0valid
Compiler

Compiled 133 to 32 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-div: 48.0ms (54.7% of total)
ival-sin: 12.0ms (13.7% of total)
ival-mult: 11.0ms (12.5% of total)
const: 9.0ms (10.3% of total)
ival-add: 3.0ms (3.4% of total)
ival-neg: 3.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.6%)

Memory
-9.0MiB live, 29.3MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.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 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.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 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.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 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/6 (pow y 2)) 1) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (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 #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin 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 (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1/6 (* x (pow y 2)))) y) (taylor 0 y) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y) (taylor 0 y) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y) (taylor 0 y) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.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)))) (patch (/.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)))) #<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 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.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)))) #<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 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.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)))) #<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 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#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 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #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))) #<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 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 7/360 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 (* 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y))
3.0ms
y
@inf
((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y))
3.0ms
y
@-inf
((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y))
3.0ms
x
@-inf
((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y))
2.0ms
x
@0
((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y))

simplify200.0ms (2.8%)

Memory
3.6MiB live, 124.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022086
12742086
26902056
321232036
443702036
081061931
Stop Event
iter limit
node limit
Counts
336 → 329
Calls
Call 1
Inputs
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)))))))
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 y)
(/ (- (* -1/6 (pow y 2)) 1) y)
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
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))))))
(/ 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)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 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 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* 7/360 (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))))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (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)
(* -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)
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* 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))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (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)
(* -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)
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* 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))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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 (+ 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)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ 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 (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 (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)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ 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 (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 (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)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ (* x (sin y)) (pow y 2))
(/ 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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 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))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #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 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1/6 (pow y 2)) 1) y)
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y))
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) 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)) y (/.f64 #s(literal -1 binary64) y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 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)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #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)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(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))))
(fma.f64 (*.f64 x (*.f64 y y)) #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)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (/.f64 x y))
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y)
(/.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y)
(/.f64 (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)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #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) (+ 1/6 (* 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))
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) (+ 1/6 (* 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 (* 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))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.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))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(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 (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ 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))
(* 7/360 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 7/360 (pow y 2))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.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))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(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 (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ 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))
(* 7/360 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 7/360 (pow y 2))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
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(/ (* x (sin y)) y)
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(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
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(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* -1/6 (pow y 2))))
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(* x (+ 1 (* -1/6 (pow y 2))))
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(* x (pow y 2))
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(/ (* x (sin y)) y)
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(/ (* x (sin y)) (pow y 2))
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(/ (* x (sin y)) (pow y 2))
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(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
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(/ x y)
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(* x (+ 1 (* -1/6 (pow y 2))))
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(* x (+ 1 (* -1/6 (pow y 2))))
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(* x (+ 1 (* -1/6 (pow y 2))))
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rewrite292.0ms (4%)

Memory
-5.8MiB live, 273.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033148
052151
1184138
21089138
08420138
Stop Event
iter limit
node limit
iter limit
Counts
18 → 713
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(sin.f64 y)
#s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
#s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y))
(/.f64 x y)
(/.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))))
#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)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 y x)
(neg.f64 y)
Outputs
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eval726.0ms (10%)

Memory
-30.6MiB live, 297.5MiB allocated
Compiler

Compiled 18 625 to 2 601 computations (86% saved)

prune45.0ms (0.6%)

Memory
5.3MiB live, 121.7MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New1 138121 150
Fresh246
Picked235
Done055
Total1 142241 166
Accuracy
100.0%
Counts
1 166 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))
49.6%
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
85.4%
(/.f64 (*.f64 (sin.f64 y) x) y)
89.2%
(/.f64 (sin.f64 y) (/.f64 y x))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
99.6%
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
62.6%
(/.f64 x (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
62.8%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
62.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
50.4%
(*.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x)) (sin.f64 y))
88.3%
(*.f64 (/.f64 x y) (sin.f64 y))
85.3%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
49.5%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y)
31.0%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y)
49.6%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
49.5%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y)
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
53.0%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
51.9%
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
51.9%
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
51.9%
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))
51.9%
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
51.4%
#s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 x (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 (*.f64 y y) x) x)))))
2.9%
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
Compiler

Compiled 408 to 314 computations (23% saved)

simplify284.0ms (3.9%)

Memory
31.8MiB live, 259.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(*.f64 (*.f64 (sin.f64 y) x) y)
cost-diff640
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
cost-diff0
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
cost-diff0
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) y)
cost-diff0
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
cost-diff0
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
cost-diff0
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
cost-diff0
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(/.f64 (*.f64 (sin.f64 y) x) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034225
051219
191219
2151219
3217219
4434219
5956219
62429219
72782219
82827219
92865219
102922219
112994219
124327219
134661219
145150219
156093219
166752219
177104219
187287219
197418219
207506219
08642215
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
#s(literal -1/6 binary64)
(*.f64 y y)
y
x
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
#s(literal -1/6 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
(*.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 y y)
Outputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
x
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
#s(literal -1/6 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(*.f64 y y)

localize161.0ms (2.2%)

Memory
10.0MiB live, 213.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0.1171875
(*.f64 (*.f64 (sin.f64 y) x) y)
accuracy0.16015625
(*.f64 (sin.f64 y) x)
accuracy31.688687082426114
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
accuracy0.109375
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.15625
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
accuracy30.54157514944206
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
accuracy31.40861398023248
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
accuracy0
(*.f64 x y)
accuracy0.1171875
(*.f64 (*.f64 x y) y)
accuracy0.140625
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
accuracy30.77000293901127
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
accuracy0.19921875
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
accuracy5.237590125297242
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
accuracy30.77000293901127
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
accuracy31.629255023111853
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
accuracy0
(sin.f64 y)
accuracy0.16015625
(*.f64 (sin.f64 y) x)
accuracy9.333439544613853
(/.f64 (*.f64 (sin.f64 y) x) y)
Samples
120.0ms256×0valid
Compiler

Compiled 144 to 29 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 31.0ms (53% of total)
const: 9.0ms (15.4% of total)
ival-div: 7.0ms (12% of total)
ival-sin: 7.0ms (12% of total)
ival-add: 4.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-34.7MiB live, 61.4MiB allocated
Counts
18 → 360
Calls
Call 1
Inputs
#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 (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (patch #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y 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 #s(literal 7/360 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 7/360 binary64) (*.f64 y y)) #<representation binary64>) () ())
Outputs
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#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (sin y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (sin y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (sin y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (sin y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#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 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#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 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#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 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#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 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #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 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #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 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #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 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #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 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) 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 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (sin y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (sin y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (sin y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (sin y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y)))
8.0ms
y
@0
((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y)))
3.0ms
y
@-inf
((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y)))
3.0ms
y
@inf
((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y)))
2.0ms
x
@inf
((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y)))

simplify180.0ms (2.5%)

Memory
2.9MiB live, 268.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0862402
12772402
27352364
321982350
443302350
575682350
081392230
Stop Event
iter limit
node limit
Counts
360 → 352
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)
(* 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
(* 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))))))
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))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 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 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* 7/360 (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 (pow y 2))
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* 7/360 (pow y 2))
(* 7/360 (pow y 2))
(* 7/360 (pow y 2))
(* 7/360 (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))
(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)
(* -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))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* 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))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (* y (sin y)))
(* x (* y (sin y)))
(* x (* y (sin y)))
(* x (* y (sin y)))
(* 7/360 (pow y 2))
(* 7/360 (pow y 2))
(* 7/360 (pow y 2))
(* 7/360 (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))
(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)
(* -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))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* 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))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x (* y (sin y)))
(* x (* y (sin y)))
(* x (* y (sin y)))
(* x (* y (sin y)))
(* 7/360 (pow y 2))
(* 7/360 (pow y 2))
(* 7/360 (pow y 2))
(* 7/360 (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 (+ 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 (+ 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 y)
(* x y)
(* x y)
(* x 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 (sin y)))
(* x (* y (sin y)))
(* x (* y (sin y)))
(* x (* y (sin 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 (+ 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 (+ 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 y)
(* x y)
(* x y)
(* x 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 (sin y)))
(* x (* y (sin y)))
(* x (* y (sin y)))
(* x (* y (sin 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)
(* -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)
(* -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 y)
(* x y)
(* x y)
(* x 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 (sin y)))
(* x (* y (sin y)))
(* x (* y (sin y)))
(* x (* y (sin y)))
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)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.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 x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 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)) 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)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #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))
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 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)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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))
(*.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 y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
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))
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 (* 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))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 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)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 (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) (*.f64 y y))
(* 7/360 (pow y 2))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
(* 7/360 (pow y 2))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
(* 7/360 (pow y 2))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
(* 7/360 (pow y 2))
(*.f64 #s(literal 7/360 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 (sin 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 (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(/ (* x (sin y)) 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)))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #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)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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 y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.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)
(/ (* 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 (sin y)))
(*.f64 (*.f64 (sin.f64 y) y) x)
(* x (* y (sin y)))
(*.f64 (*.f64 (sin.f64 y) y) x)
(* x (* y (sin y)))
(*.f64 (*.f64 (sin.f64 y) y) x)
(* x (* y (sin y)))
(*.f64 (*.f64 (sin.f64 y) y) x)

rewrite281.0ms (3.9%)

Memory
2.9MiB live, 281.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034196
051190
1178190
2881190
36979190
08071186
Stop Event
iter limit
node limit
iter limit
Counts
18 → 554
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x y) y)
(*.f64 x y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
(*.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
Outputs
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eval191.0ms (2.6%)

Memory
8.6MiB live, 251.7MiB allocated
Compiler

Compiled 15 464 to 1 574 computations (89.8% saved)

prune57.0ms (0.8%)

Memory
-8.9MiB live, 153.2MiB allocated
Pruning

28 alts after pruning (16 fresh and 12 done)

PrunedKeptTotal
New1 00981 017
Fresh3811
Picked145
Done088
Total1 013281 041
Accuracy
100.0%
Counts
1 041 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))
49.6%
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
85.4%
(/.f64 (*.f64 (sin.f64 y) x) y)
89.2%
(/.f64 (sin.f64 y) (/.f64 y x))
38.5%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
99.6%
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
62.6%
(/.f64 x (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
62.8%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
62.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
50.4%
(*.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x)) (sin.f64 y))
88.3%
(*.f64 (/.f64 x y) (sin.f64 y))
85.3%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
48.6%
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x (*.f64 y y)))
49.5%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y)
31.0%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y)
49.6%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
49.5%
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y)
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
53.0%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
31.9%
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))))))
51.9%
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))
51.4%
#s(approx (/ x (/ y (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) (*.f64 (*.f64 x (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 (*.f64 x y) y) x)))))
2.9%
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
2.9%
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x)))
2.9%
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)))
2.9%
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
2.9%
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
Compiler

Compiled 734 to 368 computations (49.9% saved)

regimes74.0ms (1%)

Memory
0.8MiB live, 112.0MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ x (/ y (sin 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)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin 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 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y)
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y)
#s(approx (/ x (/ y (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) (*.f64 (*.f64 x (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 (*.f64 x y) y) x)))))
#s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 x (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 (*.f64 y y) x) x)))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y))
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
(*.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x)) (sin.f64 y))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
Calls

4 calls:

33.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
14.0ms
y
12.0ms
x
11.0ms
(/.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 12 to 13 computations (-8.3% saved)

regimes40.0ms (0.6%)

Memory
16.0MiB live, 96.2MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ x (/ y (sin 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)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin 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 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y)
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y)
#s(approx (/ x (/ y (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) (*.f64 (*.f64 x (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 (*.f64 x y) y) x)))))
#s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 x (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 (*.f64 y y) x) x)))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

13.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
10.0ms
x
8.0ms
y
8.0ms
(/.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 12 to 13 computations (-8.3% saved)

regimes43.0ms (0.6%)

Memory
-27.4MiB live, 102.9MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ x (/ y (sin 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)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin 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 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y)
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y)
#s(approx (/ x (/ y (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) (*.f64 (*.f64 x (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 (*.f64 x y) y) x)))))
#s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 x (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 (*.f64 y y) x) x)))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))))))
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:

14.0ms
x
11.0ms
y
9.0ms
(/.f64 (sin.f64 y) y)
7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
62.8%1x
62.8%1y
62.8%1(*.f64 x (/.f64 (sin.f64 y) y))
62.8%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes20.0ms (0.3%)

Memory
27.8MiB live, 27.8MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ x (/ y (sin 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
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
Calls

4 calls:

5.0ms
x
5.0ms
y
5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
60.9%2x
61.0%2y
61.0%2(/.f64 (sin.f64 y) y)
61.0%2(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes28.0ms (0.4%)

Memory
-11.1MiB live, 67.5MiB allocated
Accuracy

Total -32.3b remaining (-107.1%)

Threshold costs -32.3b (-107.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
#s(approx (/ x (/ y (sin 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:

14.0ms
(/.f64 (sin.f64 y) y)
5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
53.0%1x
53.0%1(*.f64 x (/.f64 (sin.f64 y) y))
53.0%1y
53.0%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0005029465352797711
0.999999999999992
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify85.0ms (1.2%)

Memory
-14.6MiB live, 64.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03471
14171
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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)))
(*.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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)

soundness998.0ms (13.7%)

Memory
38.9MiB live, 636.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043306
1118306
2310296
3920294
41456294
52250294
63376294
73667294
84402294
96851294
08532276
0881582
12521579
27091545
321031529
435591529
554211529
081071471
033148
052151
1184138
21089138
08420138
0512
0812
11912
27212
333612
0179812
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 122 to 79 computations (35.2% saved)

preprocess113.0ms (1.6%)

Memory
-32.5MiB live, 125.6MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 178 to 120 computations (32.6% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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