mixedcos

Time bar (total: 11.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze677.0ms (6%)

Memory
-156.9MiB live, 141.8MiB 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
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
18.8%18.7%81.1%0.1%0%0%0%5
28.1%28.1%71.8%0.1%0%0%0%6
42.2%42.1%57.7%0.1%0%0%0%7
49.2%49.1%50.7%0.1%0%0%0%8
57.4%57.3%42.5%0.1%0%0%0%9
67%66.9%33%0.1%0%0%0%10
71.8%71.7%28.2%0.1%0%0%0%11
76.9%76.8%23.1%0.1%0%0%0%12
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.6s (14.2%)

Memory
62.3MiB live, 1 878.0MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 769.0ms
ival-mult: 224.0ms (29.1% of total)
ival-cos: 203.0ms (26.4% of total)
ival-div: 167.0ms (21.7% of total)
ival-pow2: 161.0ms (20.9% of total)
ival-true: 6.0ms (0.8% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain225.0ms (2%)

Memory
4.0MiB live, 322.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-1(-1.479085510550854e+49 -2.7361787958729706e+140 1.8170697101725223e-209)(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
290-1(7.00435726146519e+292 5.7371048131992505e-236 -5.288864750381563e-161)(*.f64 x (pow.f64 s #s(literal 2 binary64)))
180-1(-6.315862092273534e+115 -1.8940080338007533e-233 -3.9088276630472095e-215)(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
00-0-(pow.f64 c #s(literal 2 binary64))
00-0-(*.f64 #s(literal 2 binary64) x)
0120(-9.08554804421355e+182 4.444019267024649 -3.393198701257951e+64)0-(cos.f64 (*.f64 #s(literal 2 binary64) x))
00-0-s
00-0-c
00-0-(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
00-0-#s(literal 2 binary64)
00-0-x
00-0-(pow.f64 s #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (*.f64 #s(literal 2 binary64) x))sensitivity1201
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))u*o190
(pow.f64 c #s(literal 2 binary64))underflow77
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow66
(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow58
(pow.f64 s #s(literal 2 binary64))overflow61
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u190
(pow.f64 c #s(literal 2 binary64))overflow58
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow72
(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow62
(pow.f64 s #s(literal 2 binary64))underflow60
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*u160
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*o150
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*o150
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*u130
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*o90
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*u80
Confusion
Predicted +Predicted -
+890
-8582
Precision
0.5114942528735632
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8900
-85082
Precision?
0.5114942528735632
Recall?
1.0
Freqs
test
numberfreq
082
1116
256
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
80.0ms512×0valid
Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-pow2: 29.0ms (47.6% of total)
ival-cos: 17.0ms (27.9% of total)
ival-mult: 11.0ms (18.1% of total)
ival-div: 3.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess50.0ms (0.4%)

Memory
29.3MiB live, 67.7MiB allocated
Algorithm
egg-herbie
Rules
1 052×distribute-neg-frac
1 004×div-sub
784×distribute-lft-neg-in
688×unsub-neg
676×distribute-frac-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047168
1133161
2473147
32282147
45965147
01216
02016
13116
26416
319816
448716
570416
673716
073716
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 s c)) (*.f64 x x)) (*.f64 s c))
Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify26.0ms (0.2%)

Memory
-19.8MiB live, 21.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff6144
(pow.f64 s #s(literal 2 binary64))
cost-diff6144
(pow.f64 c #s(literal 2 binary64))
Rules
632×associate-/r*
378×lower-/.f32
376×lower-/.f64
330×lower-*.f32
322×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
02056
13156
26456
319856
448756
570456
673756
073756
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(pow.f64 c #s(literal 2 binary64))
c
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(pow.f64 s #s(literal 2 binary64))
s
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 s c)) (*.f64 x x)) (*.f64 s c))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) (*.f64 s c))
(pow.f64 c #s(literal 2 binary64))
(*.f64 c c)
c
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 s s) x)
(pow.f64 s #s(literal 2 binary64))
(*.f64 s s)
s

localize62.0ms (0.6%)

Memory
-5.2MiB live, 71.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
accuracy5.30859753961458
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy6.653304941721784
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy14.59274763216206
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
Samples
26.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (34.8% of total)
ival-cos: 5.0ms (29% of total)
ival-pow2: 5.0ms (29% of total)
ival-div: 2.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
8.5MiB live, 47.2MiB allocated
Counts
8 → 168
Calls
Call 1
Inputs
#s(alt (pow.f64 c #s(literal 2 binary64)) (patch (pow.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 s #s(literal 2 binary64)) (patch (pow.f64 s #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) (patch (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 s #s(literal 2 binary64))) (patch (*.f64 x (pow.f64 s #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) (patch (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 x)) (taylor inf x) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
21.0ms
c
@inf
((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
4.0ms
s
@inf
((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms
x
@inf
((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
3.0ms
x
@0
((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))
2.0ms
s
@0
((pow c 2) (pow s 2) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))))

simplify198.0ms (1.8%)

Memory
5.6MiB live, 239.1MiB allocated
Algorithm
egg-herbie
Rules
19 320×lower-fma.f64
19 320×lower-fma.f32
5 250×lower-*.f64
5 250×lower-*.f32
2 472×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0501512
11171512
23831498
319491488
447631480
569091480
080061468
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow s 2)
(pow s 2)
(pow s 2)
(pow s 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 x s) c) s) c) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c))) (*.f64 x x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(pow s 2)
(*.f64 s s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)

rewrite261.0ms (2.3%)

Memory
-33.7MiB live, 355.1MiB allocated
Rules
4 664×lower-/.f32
4 662×lower-/.f64
4 522×lower-*.f32
4 514×lower-*.f64
1 754×lower--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01252
02052
15552
221748
3194642
0839642
Stop Event
iter limit
node limit
iter limit
Counts
8 → 685
Calls
Call 1
Inputs
(pow.f64 c #s(literal 2 binary64))
(pow.f64 s #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Outputs
(*.f64 (pow.f64 (pow.f64 c #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 c))
(*.f64 (pow.f64 c #s(literal 3/2 binary64)) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (pow.f64 (pow.f64 c #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 c) (pow.f64 c #s(literal 3/2 binary64)))
(*.f64 c c)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 c))
(pow.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 c))
(pow.f64 (sqrt.f64 c) #s(literal 4 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 c)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 s #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 s))
(*.f64 (pow.f64 s #s(literal 3/2 binary64)) (sqrt.f64 s))
(*.f64 (sqrt.f64 s) (pow.f64 (pow.f64 s #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 s) (pow.f64 s #s(literal 3/2 binary64)))
(*.f64 s s)
(pow.f64 (*.f64 (*.f64 s s) (*.f64 s s)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 s))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 s))
(pow.f64 (sqrt.f64 s) #s(literal 4 binary64))
(pow.f64 (*.f64 s s) #s(literal 1 binary64))
(pow.f64 s #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 s)))
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (cos.f64 x) (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (pow.f64 (sin.f64 x) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 12 binary64)) (pow.f64 (sin.f64 x) #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 x)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 8 binary64))
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(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 c c))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 c c))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)))) (/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c)) (neg.f64 (neg.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (neg.f64 (neg.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (neg.f64 (neg.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c)) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 c) c)) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c)) (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))) (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 c) c)) (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) (/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 c s) #s(literal -2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) c) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64)))))

eval99.0ms (0.9%)

Memory
34.4MiB live, 264.6MiB allocated
Compiler

Compiled 23 462 to 2 453 computations (89.5% saved)

prune177.0ms (1.6%)

Memory
-14.6MiB live, 338.3MiB allocated
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New83023853
Fresh000
Picked101
Done000
Total83123854
Accuracy
100.0%
Counts
854 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.6%
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
87.0%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
67.9%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 s s))) (*.f64 x (*.f64 c c)))
87.0%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
96.3%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
23.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (*.f64 c c)) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
84.5%
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) (cos.f64 (*.f64 x #s(literal 2 binary64)))) x)
96.4%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
75.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (*.f64 s s)))
74.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 x s)) s)))
87.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
84.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
78.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) (*.f64 x s)))
67.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
77.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)))
95.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
96.2%
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
87.0%
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) c))
96.4%
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
61.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)))
74.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s))
49.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
47.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
Compiler

Compiled 964 to 590 computations (38.8% saved)

simplify22.0ms (0.2%)

Memory
19.3MiB live, 55.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
cost-diff704
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
cost-diff320
(*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)
cost-diff0
(*.f64 x (*.f64 s s))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)))
cost-diff0
(pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
Rules
998×associate-/r*
756×lower-/.f32
742×lower-/.f64
330×lower-*.f32
302×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041257
068243
1123231
2250231
3538231
4837231
5837231
6899231
0899231
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))
(*.f64 x (*.f64 c s))
(*.f64 c s)
c
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
c
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
(*.f64 x (*.f64 s s))
(*.f64 s s)
s
(*.f64 x (*.f64 c c))
(*.f64 c c)
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)
(*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 x s) #s(literal 2 binary64))
(*.f64 x s)
s
c
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
c
(*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 x s) #s(literal 2 binary64))
(*.f64 x s)
s
Outputs
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))
(*.f64 x (*.f64 c s))
(*.f64 (*.f64 c x) s)
(*.f64 c s)
(*.f64 s c)
c
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
c
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
(pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))
(*.f64 x (*.f64 s s))
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 x (*.f64 c c))
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)
(pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 x s) #s(literal 2 binary64))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(*.f64 x s)
(*.f64 s x)
s
c
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c)
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
c
(*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 x s) #s(literal 2 binary64))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(*.f64 x s)
(*.f64 s x)
s

localize112.0ms (1%)

Memory
-20.4MiB live, 257.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
accuracy0.23113251953688405
(pow.f64 (*.f64 x s) #s(literal 2 binary64))
accuracy2.9608469197913454
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
accuracy5.236834811667021
(*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)
accuracy0.109375
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
accuracy0.23113251953688405
(pow.f64 (*.f64 x s) #s(literal 2 binary64))
accuracy2.8935751101033746
(*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)
accuracy5.236834811667021
(*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)
accuracy0.109375
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
accuracy6.653304941721784
(*.f64 x (*.f64 s s))
accuracy6.961533516563654
(*.f64 x (*.f64 c c))
accuracy12.41181665716338
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
accuracy0.15625
(*.f64 (*.f64 s c) s)
accuracy6.068009004534574
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
accuracy13.059439257933136
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)))
accuracy13.275882720653795
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))
accuracy0
(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy0.109375
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
accuracy0.21941376953688402
(pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))
accuracy5.111493021032696
(*.f64 x (*.f64 c s))
Samples
85.0ms256×0valid
Compiler

Compiled 245 to 40 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 26.0ms (41.6% of total)
ival-div: 14.0ms (22.4% of total)
ival-cos: 14.0ms (22.4% of total)
ival-pow2: 8.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.5%)

Memory
-10.3MiB live, 133.2MiB allocated
Counts
23 → 612
Calls
Call 1
Inputs
#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c) (patch (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) (patch (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 c s)) (patch (*.f64 x (*.f64 c s)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)) (patch (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 s c) s) (patch (*.f64 (*.f64 s c) s) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) (patch (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) (patch (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 x s) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x s) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
7.0ms
s
@0
((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* x (* s s)) (* (* (pow (* x s) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (* (pow (* x s) 2) c) (pow (* x s) 2))
5.0ms
c
@inf
((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* x (* s s)) (* (* (pow (* x s) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (* (pow (* x s) 2) c) (pow (* x s) 2))
4.0ms
c
@-inf
((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* x (* s s)) (* (* (pow (* x s) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (* (pow (* x s) 2) c) (pow (* x s) 2))
4.0ms
x
@-inf
((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* x (* s s)) (* (* (pow (* x s) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (* (pow (* x s) 2) c) (pow (* x s) 2))
4.0ms
x
@inf
((/ (cos (* x 2)) (pow (* x (* c s)) 2)) (cos (* x 2)) (* x 2) (pow (* x (* c s)) 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (/ 1 x) x) c) (/ (/ 1 x) x) (/ 1 x) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* 2 x) (* x (* s s)) (* (* (pow (* x s) 2) c) c) (/ (cos (* 2 x)) (* (* (pow (* x s) 2) c) c)) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/ (cos (* x 2)) c) (* x (* c s)) (/ (/ (/ (/ 1 x) x) c) (* (* s c) s)) (* (* s c) s) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (* (pow (* x s) 2) c) (pow (* x s) 2))

simplify254.0ms (2.3%)

Memory
10.4MiB live, 203.1MiB allocated
Algorithm
egg-herbie
Rules
15 474×lower-fma.f64
15 474×lower-fma.f32
5 714×lower-*.f64
5 714×lower-*.f32
2 504×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0766588
11826588
25356516
321006464
445646424
571846424
086066376
Stop Event
iter limit
node limit
Counts
612 → 612
Calls
Call 1
Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* c (pow x 2)))
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(/ 1 x)
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
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(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 c)
(+ (* -2 (/ (pow x 2) c)) (/ 1 c))
(+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) c)) (* 2 (/ 1 c)))) (/ 1 c))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) c)) (* 2/3 (/ 1 c)))) (* 2 (/ 1 c)))) (/ 1 c))
(* c (* s x))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* c (pow x 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
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(* c (* s x))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* c (pow x 2)))
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(cos (* 2 x))
(cos (* 2 x))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(* c (* s x))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* (pow c 2) x)
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(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
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(* c (* (pow s 2) (pow x 2)))
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(* (pow s 2) (pow x 2))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow s 2) x)
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(* (pow c 2) (* (pow s 2) (pow x 2)))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (* s x))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ 1 (* c (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(/ (cos (* 2 x)) c)
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* c (pow s 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 x s) c) c) s) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 x s) c) c) s) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)))) (*.f64 x x))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 x s) c) c) s) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* (pow s 2) x)
(*.f64 x (*.f64 s s))
(* (pow s 2) x)
(*.f64 x (*.f64 s s))
(* (pow s 2) x)
(*.f64 x (*.f64 s s))
(* (pow s 2) x)
(*.f64 x (*.f64 s s))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 x s) c) c) s) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)))) (*.f64 x x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
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(/ (cos (* 2 x)) c)
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
(/ (cos (* 2 x)) c)
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(* c (pow s 2))
(*.f64 (*.f64 s s) c)
(* c (pow s 2))
(*.f64 (*.f64 s s) c)
(* c (pow s 2))
(*.f64 (*.f64 s s) c)
(* c (pow s 2))
(*.f64 (*.f64 s s) c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
(/ 1 (* c (pow x 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s)
(/ (cos (* 2 x)) c)
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
(/ (cos (* 2 x)) c)
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
(/ (cos (* 2 x)) c)
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
(/ (cos (* 2 x)) c)
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c))
(* c (pow s 2))
(*.f64 (*.f64 s s) c)
(* c (pow s 2))
(*.f64 (*.f64 s s) c)
(* c (pow s 2))
(*.f64 (*.f64 s s) c)
(* c (pow s 2))
(*.f64 (*.f64 s s) c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)

rewrite173.0ms (1.5%)

Memory
1.0MiB live, 275.5MiB allocated
Rules
4 606×lower-*.f32
4 578×lower-*.f64
4 298×lower-/.f32
4 284×lower-/.f64
1 518×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041193
068179
1225159
21062159
08288159
Stop Event
iter limit
node limit
iter limit
Counts
23 → 2 379
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (*.f64 s s))
(*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c)
(*.f64 x (*.f64 c s))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 s c) s)
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
(*.f64 x (*.f64 c c))
(*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 x s) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) #s(literal 1 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) c)) (pow.f64 (*.f64 s c) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (pow.f64 c #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)) (+.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 (*.f64 (*.f64 s s) x) #s(literal -1 binary64)) c)) (pow.f64 (*.f64 c x) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) s)) (/.f64 (pow.f64 c #s(literal -2 binary64)) s))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) s))) (pow.f64 s #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) s) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) c))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) s)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) (pow.f64 c #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (/.f64 (neg.f64 c) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 c #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) c) (*.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x) (pow.f64 (/.f64 x (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 c #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (*.f64 s s) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) c)) (pow.f64 (*.f64 (*.f64 s c) s) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s c)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -1 binary64)) s))
(*.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -1 binary64)) s) (pow.f64 (*.f64 (*.f64 s x) (/.f64 c (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (neg.f64 c)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 c)))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 s s) x) #s(literal -1 binary64)) c) (*.f64 (pow.f64 (*.f64 c x) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)))
(*.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (*.f64 (pow.f64 c #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 s s) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c c) x) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (pow.f64 c #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (*.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) s) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (*.f64 s c) #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -1 binary64)) s) c))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) (*.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -1 binary64)) s) (pow.f64 c #s(literal -1 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (pow.f64 (*.f64 c x) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) s) c) (pow.f64 (*.f64 s c) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x x) s) (/.f64 (pow.f64 c #s(literal -2 binary64)) s))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) (pow.f64 s #s(literal -1 binary64)))
(/.f64 (*.f64 c (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) s)))
(/.f64 (neg.f64 s) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)))
(/.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x x) c) (pow.f64 (*.f64 (*.f64 s c) s) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 c)))
(/.f64 (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) c))
(/.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
(/.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) (pow.f64 c #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 s c) s) (/.f64 (pow.f64 x #s(literal -2 binary64)) c))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
(/.f64 s (*.f64 (pow.f64 c #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) s)))
(/.f64 x (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))
(neg.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 c))) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (*.f64 c x) s)))))
(exp.f64 (+.f64 (log.f64 (*.f64 (*.f64 c x) s)) (log.f64 (*.f64 (*.f64 c x) s))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 c x) s)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c x) s)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 c x) (sqrt.f64 c)) (sqrt.f64 c))
(*.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (*.f64 c x)))
(*.f64 (*.f64 c x) c)
(*.f64 (*.f64 (*.f64 c c) x) #s(literal 1 binary64))
(*.f64 (*.f64 c c) x)
(*.f64 c (*.f64 c x))
(*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 c c)))
(*.f64 x (*.f64 c c))
(/.f64 (*.f64 (*.f64 c c) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 c) c) x) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 c c) x) #s(literal 1 binary64))
(/.f64 (*.f64 c c) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 c))
(*.f64 (/.f64 (*.f64 (*.f64 s c) s) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (sqrt.f64 c)) (sqrt.f64 c))
(*.f64 (*.f64 (*.f64 s x) (sqrt.f64 (*.f64 (*.f64 c x) s))) (sqrt.f64 (*.f64 (*.f64 c x) s)))
(*.f64 (*.f64 (*.f64 (*.f64 c x) s) (sqrt.f64 (*.f64 s x))) (sqrt.f64 (*.f64 s x)))
(*.f64 (/.f64 (*.f64 (*.f64 s c) s) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 s x) (sqrt.f64 c)) (*.f64 (*.f64 s x) (sqrt.f64 c)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 (*.f64 (*.f64 c x) s))) (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 (*.f64 (*.f64 c x) s))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c x) s)) (sqrt.f64 (*.f64 s x))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c x) s)) (sqrt.f64 (*.f64 s x))))
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 s x)) (*.f64 (sqrt.f64 c) (*.f64 s x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) c)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x)
(*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s)
(*.f64 (*.f64 (*.f64 x x) s) (*.f64 s c))
(*.f64 (sqrt.f64 (*.f64 s x)) (*.f64 (sqrt.f64 (*.f64 s x)) (*.f64 (*.f64 c x) s)))
(*.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c x) s)) (*.f64 (sqrt.f64 (*.f64 (*.f64 c x) s)) (*.f64 s x)))
(*.f64 (*.f64 (neg.f64 x) c) (*.f64 (neg.f64 s) (*.f64 s x)))
(*.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (neg.f64 c))
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (*.f64 x x) c) (/.f64 (*.f64 s s) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 s c) s)))
(*.f64 (neg.f64 c) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (/.f64 (*.f64 s s) (pow.f64 c #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 s c) s))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(*.f64 (*.f64 s x) (/.f64 (*.f64 s x) (pow.f64 c #s(literal -1 binary64))))
(*.f64 (*.f64 s x) (*.f64 (*.f64 c x) s))
(*.f64 (*.f64 (*.f64 s s) x) (/.f64 x (pow.f64 c #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c x))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))
(*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x))
(*.f64 (*.f64 s c) (*.f64 (*.f64 x x) s))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x))
(*.f64 s (*.f64 (*.f64 (*.f64 x x) s) c))
(*.f64 c (neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 x (/.f64 (*.f64 (*.f64 s s) x) (pow.f64 c #s(literal -1 binary64))))
(*.f64 x (*.f64 x (*.f64 (*.f64 s c) s)))
(*.f64 x (*.f64 (*.f64 (*.f64 s s) x) c))
(pow.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 s s)) (/.f64 (pow.f64 x #s(literal -2 binary64)) c))
(/.f64 (/.f64 (*.f64 (*.f64 s c) s) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 s c) s)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (*.f64 (*.f64 s c) s)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) c))
(/.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (pow.f64 c #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 s c) s) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c))
(neg.f64 (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64) (log.f64 c)))
(exp.f64 (+.f64 (log.f64 (*.f64 s x)) (log.f64 (*.f64 (*.f64 c x) s))))
(exp.f64 (+.f64 (log.f64 (*.f64 (*.f64 c x) s)) (log.f64 (*.f64 s x))))
(exp.f64 (+.f64 (log.f64 c) (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) s) (sqrt.f64 s)) (sqrt.f64 s))
(*.f64 (*.f64 (*.f64 s x) (sqrt.f64 (*.f64 s x))) (sqrt.f64 (*.f64 s x)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) s) #s(literal 1 binary64)) s)
(*.f64 (*.f64 (*.f64 x x) s) s)
(*.f64 (sqrt.f64 (*.f64 s x)) (*.f64 (sqrt.f64 (*.f64 s x)) (*.f64 s x)))
(*.f64 (sqrt.f64 s) (*.f64 (sqrt.f64 s) (*.f64 (*.f64 x x) s)))
(*.f64 (*.f64 (neg.f64 s) (*.f64 s x)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 s) (*.f64 s x)))
(*.f64 (*.f64 x x) (*.f64 s s))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) (*.f64 x x))
(*.f64 s (pow.f64 (*.f64 (*.f64 x x) s) #s(literal 1 binary64)))
(*.f64 s (*.f64 (*.f64 x x) s))
(*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)))
(*.f64 x (*.f64 (*.f64 s s) x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 s x)))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 s s) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 s s)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 s) (*.f64 s x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 s s) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 s s) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 s x)) (log.f64 (*.f64 s x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)))

eval640.0ms (5.7%)

Memory
2.5MiB live, 793.8MiB allocated
Compiler

Compiled 60 702 to 3 333 computations (94.5% saved)

prune298.0ms (2.6%)

Memory
-2.8MiB live, 841.0MiB allocated
Pruning

42 alts after pruning (42 fresh and 0 done)

PrunedKeptTotal
New3 290423 332
Fresh18018
Picked505
Done000
Total3 313423 355
Accuracy
100.0%
Counts
3 355 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s c)) x) (*.f64 s c)) x)
91.2%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)))
81.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x x) s) c)) (*.f64 s c))
78.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
76.3%
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
67.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
98.5%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
77.0%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x)))
78.2%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
74.9%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
95.5%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
81.9%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c x) (*.f64 x (*.f64 (*.f64 s c) s))))
82.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) (*.f64 s x)) (neg.f64 x)) c) c))
87.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
91.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c))
78.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(approx (* (pow (* x s) 2) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) c))
63.5%
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
77.6%
(/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
62.9%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
49.7%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
76.3%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
60.0%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
61.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c)))
50.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)))
49.2%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
75.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
69.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (*.f64 c c)))
69.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) s) c)))
76.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c))
66.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (*.f64 (*.f64 s c) c)))
61.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 (*.f64 s c) (sqrt.f64 s)) (sqrt.f64 s))))
61.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x)))
62.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 (*.f64 s c) s)))
68.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s)))
75.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 (neg.f64 x) c) s)))
65.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) (*.f64 (neg.f64 s) (*.f64 s x))))
65.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) c) (*.f64 (*.f64 s c) s))))
70.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x)))
62.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 s c) s)))
70.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (neg.f64 x)))
69.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
66.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))))
Compiler

Compiled 1 506 to 926 computations (38.5% saved)

simplify235.0ms (2.1%)

Memory
5.7MiB live, 322.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
cost-diff320
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)
cost-diff0
(*.f64 c c)
cost-diff0
(/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)))
cost-diff320
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)))
cost-diff0
(*.f64 s s)
cost-diff0
(*.f64 x (*.f64 s s))
cost-diff0
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
cost-diff0
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
Rules
21 538×lower-fma.f32
21 536×lower-fma.f64
6 668×lower-*.f32
6 638×lower-*.f64
5 220×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053319
084299
1166293
2387275
31090275
42311275
53081275
63166275
73167275
83167275
95276275
105975275
09643275
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
(*.f64 (*.f64 s x) c)
(*.f64 s x)
s
c
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
(*.f64 x (*.f64 s s))
x
(*.f64 s s)
s
(*.f64 x (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))
(/.f64 (/.f64 #s(literal 1 binary64) s) c)
(/.f64 #s(literal 1 binary64) s)
s
c
(*.f64 s c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
#s(literal 1 binary64)
(/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
(*.f64 c c)
c
(pow.f64 (*.f64 s x) #s(literal -2 binary64))
(*.f64 s x)
s
x
#s(literal -2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c)
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 s x)
s
c
Outputs
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
(pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))
(*.f64 (*.f64 s x) c)
(*.f64 c (*.f64 s x))
(*.f64 s x)
s
c
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
(pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))
(*.f64 x (*.f64 s s))
(*.f64 (*.f64 s s) x)
x
(*.f64 s s)
s
(*.f64 x (*.f64 c c))
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) s) (*.f64 c c))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) (*.f64 c c))
(/.f64 (/.f64 #s(literal 1 binary64) s) c)
(/.f64 #s(literal 1 binary64) s)
s
c
(*.f64 s c)
(*.f64 c s)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
(/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c)
#s(literal 1 binary64)
(/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
(*.f64 (/.f64 c (pow.f64 (*.f64 s x) #s(literal -2 binary64))) c)
(*.f64 c c)
c
(pow.f64 (*.f64 s x) #s(literal -2 binary64))
(*.f64 s x)
s
x
#s(literal -2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)
(pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(*.f64 (*.f64 s x) (*.f64 s x))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(*.f64 s x)
s
c

localize164.0ms (1.5%)

Memory
17.0MiB live, 218.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
accuracy0.23113251953688405
(*.f64 (*.f64 s x) (*.f64 s x))
accuracy2.8935751101033746
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)
accuracy5.236834811667021
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c)
accuracy0.0859375
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
accuracy0.252948779305326
(pow.f64 (*.f64 s x) #s(literal -2 binary64))
accuracy13.059439257933136
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
accuracy14.579695587753598
(/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
accuracy0.140625
(/.f64 (/.f64 #s(literal 1 binary64) s) c)
accuracy5.776562682931689
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)))
accuracy19.717003459690208
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)))
accuracy19.933418729192606
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))
accuracy6.653304941721784
(*.f64 x (*.f64 s s))
accuracy6.961533516563654
(*.f64 x (*.f64 c c))
accuracy12.41181665716338
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
accuracy27.114149227200553
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
accuracy0
(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy0.109375
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
accuracy0.21941376953688402
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
accuracy2.9916358449422313
(*.f64 (*.f64 s x) c)
Samples
136.0ms256×0valid
Compiler

Compiled 287 to 49 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-div: 47.0ms (44.6% of total)
ival-mult: 36.0ms (34.1% of total)
ival-cos: 10.0ms (9.5% of total)
ival-pow2: 8.0ms (7.6% of total)
ival-pow: 3.0ms (2.8% of total)
ival-add: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory
-21.0MiB live, 99.2MiB allocated
Counts
28 → 732
Calls
Call 1
Inputs
#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())
#s(alt (*.f64 s s) (patch (*.f64 s s) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (patch (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) (patch #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (patch (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) x)) (patch (cos.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 s x) c) (patch (*.f64 (*.f64 s x) c) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) (patch (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) (patch (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) s) c) (patch (/.f64 (/.f64 #s(literal 1 binary64) s) c) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (patch (pow.f64 (*.f64 s x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 s x) (*.f64 s x)) (patch (*.f64 (*.f64 s x) (*.f64 s x)) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (patch #s(approx (cos (* 2 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (* (pow s 2) x) (taylor 0 x) (#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (pow s 2))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (patch (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (patch (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (patch (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (patch (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) (patch #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) (patch #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) (patch #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) (patch #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) #<representation binary64>) () ())) ())
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#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (patch (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 s x) c) (patch (*.f64 (*.f64 s x) c) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 s x) c) (patch (*.f64 (*.f64 s x) c) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 s x) c) (patch (*.f64 (*.f64 s x) c) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor -inf c) (#s(alt (*.f64 (*.f64 s x) c) (patch (*.f64 (*.f64 s x) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) (patch (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) (patch (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) (patch (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) (patch (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) (patch (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) (patch (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) (patch (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) (patch (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c s)) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) s) c) (patch (/.f64 (/.f64 #s(literal 1 binary64) s) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c s)) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) s) c) (patch (/.f64 (/.f64 #s(literal 1 binary64) s) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c s)) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) s) c) (patch (/.f64 (/.f64 #s(literal 1 binary64) s) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* c s)) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) s) c) (patch (/.f64 (/.f64 #s(literal 1 binary64) s) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
c
@inf
((/ (cos (* x 2)) (pow (* (* s x) c) 2)) (cos (* x 2)) (* x 2) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* x (* s s)) (* s s) (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (+ (* -2 (* x x)) 1) (* x x) (/ 1 (/ (* c c) (pow (* s x) -2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* c c) (pow (* s x) -2)) (* c c) (* (* (* (* s x) (* s x)) c) c) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/ (/ 1 s) c) (pow (* s x) -2) (* (* (* s x) (* s x)) c) (* (* s x) (* s x)))
4.0ms
s
@-inf
((/ (cos (* x 2)) (pow (* (* s x) c) 2)) (cos (* x 2)) (* x 2) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* x (* s s)) (* s s) (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (+ (* -2 (* x x)) 1) (* x x) (/ 1 (/ (* c c) (pow (* s x) -2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* c c) (pow (* s x) -2)) (* c c) (* (* (* (* s x) (* s x)) c) c) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/ (/ 1 s) c) (pow (* s x) -2) (* (* (* s x) (* s x)) c) (* (* s x) (* s x)))
4.0ms
x
@inf
((/ (cos (* x 2)) (pow (* (* s x) c) 2)) (cos (* x 2)) (* x 2) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* x (* s s)) (* s s) (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (+ (* -2 (* x x)) 1) (* x x) (/ 1 (/ (* c c) (pow (* s x) -2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* c c) (pow (* s x) -2)) (* c c) (* (* (* (* s x) (* s x)) c) c) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/ (/ 1 s) c) (pow (* s x) -2) (* (* (* s x) (* s x)) c) (* (* s x) (* s x)))
4.0ms
c
@-inf
((/ (cos (* x 2)) (pow (* (* s x) c) 2)) (cos (* x 2)) (* x 2) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* x (* s s)) (* s s) (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (+ (* -2 (* x x)) 1) (* x x) (/ 1 (/ (* c c) (pow (* s x) -2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* c c) (pow (* s x) -2)) (* c c) (* (* (* (* s x) (* s x)) c) c) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/ (/ 1 s) c) (pow (* s x) -2) (* (* (* s x) (* s x)) c) (* (* s x) (* s x)))
4.0ms
s
@inf
((/ (cos (* x 2)) (pow (* (* s x) c) 2)) (cos (* x 2)) (* x 2) (pow (* (* s x) c) 2) (/ (cos (* 2 x)) (* (* x (* s s)) (* x (* c c)))) (cos (* 2 x)) (* x (* s s)) (* s s) (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (+ (* -2 (* x x)) 1) (* x x) (/ 1 (/ (* c c) (pow (* s x) -2))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* c c) (pow (* s x) -2)) (* c c) (* (* (* (* s x) (* s x)) c) c) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (* 2 x) (* (* s x) c) (* (* x (* s s)) (* x (* c c))) (* x (* c c)) (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/ (/ 1 s) c) (pow (* s x) -2) (* (* (* s x) (* s x)) c) (* (* s x) (* s x)))

simplify170.0ms (1.5%)

Memory
35.1MiB live, 225.4MiB allocated
Algorithm
egg-herbie
Rules
11 760×lower-fma.f64
11 760×lower-fma.f32
6 430×lower-*.f64
6 430×lower-*.f32
2 160×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0658726
11548726
24678656
319668210
437357866
558977866
081267781
Stop Event
iter limit
node limit
Counts
732 → 732
Calls
Call 1
Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(/ 1 (* (pow c 2) (pow s 2)))
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow s 2) (pow x 2)))
(/ 1 (* (pow s 2) (pow x 2)))
(/ 1 (* (pow s 2) (pow x 2)))
(/ 1 (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* -2 (/ (pow x 2) (* (pow c 2) (pow s 2))))
(* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))
(* (pow x 2) (- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2))))))
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(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c s))
(/ 1 (* c s))
(/ 1 (* c s))
(/ 1 (* c s))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c s))
(/ 1 (* c s))
(/ 1 (* c s))
(/ 1 (* c s))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* c s))
(/ 1 (* c s))
(/ 1 (* c s))
(/ 1 (* c s))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 x (*.f64 c c)) s) s) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 x (*.f64 c c)) s) s) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow s 2) x)
(*.f64 x (*.f64 s s))
(* (pow s 2) x)
(*.f64 x (*.f64 s s))
(* (pow s 2) x)
(*.f64 x (*.f64 s s))
(* (pow s 2) x)
(*.f64 x (*.f64 s s))
(/ 1 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 x (*.f64 c c)) s) s) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 x (*.f64 c c)) s) s) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))) (*.f64 x x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 x (*.f64 c c)) s) s) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
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(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 c c)) x)) s) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x s) x)) (*.f64 (*.f64 s c) c))
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 c c)) x) s) s)
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(* (pow c 2) x)
(*.f64 x (*.f64 c c))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ 1 (* c s))
(/.f64 #s(literal 1 binary64) (*.f64 s c))
(/ 1 (* c s))
(/.f64 #s(literal 1 binary64) (*.f64 s c))
(/ 1 (* c s))
(/.f64 #s(literal 1 binary64) (*.f64 s c))
(/ 1 (* c s))
(/.f64 #s(literal 1 binary64) (*.f64 s c))
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x c) x) s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x c) x) s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x c) x) s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x c) x) s) s)

rewrite279.0ms (2.5%)

Memory
-21.2MiB live, 303.2MiB allocated
Rules
4 664×lower-/.f32
4 648×lower-/.f64
4 388×lower-*.f32
4 358×lower-*.f64
2 934×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053270
084242
1311228
21627218
08569218
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 874
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
(*.f64 x (*.f64 s s))
(*.f64 s s)
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
(/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
(*.f64 c c)
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 s x) c)
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
(*.f64 x (*.f64 c c))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) s) c)
(pow.f64 (*.f64 s x) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c)
(*.f64 (*.f64 s x) (*.f64 s x))
Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (pow.f64 (/.f64 (*.f64 s x) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 c (*.f64 s x)) c) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 c #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (pow.f64 s #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 c #s(literal -2 binary64))) (*.f64 s x)) (pow.f64 (*.f64 s x) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) s)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c c) x)) (pow.f64 (*.f64 (*.f64 s s) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c (*.f64 s x))) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 s x)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 s s) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c c) x) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 c c) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 s s) x) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)) (pow.f64 (*.f64 (*.f64 c c) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (pow.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (pow.f64 c #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) (/.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 c (*.f64 s x))))
(*.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 c)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 c) c)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c)) (pow.f64 c #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 c #s(literal -2 binary64))) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 s x) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 c (*.f64 s x)) (/.f64 c (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c)))
(*.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 c)) (neg.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c)))
(*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 c #s(literal -2 binary64))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))) (fma.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))) (*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) (neg.f64 (*.f64 s s)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 c #s(literal -2 binary64))) (*.f64 s x))) (*.f64 (neg.f64 x) s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) c))) (neg.f64 (*.f64 (*.f64 x x) s)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c c) x))) (*.f64 (*.f64 (neg.f64 x) s) s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x))) (*.f64 (*.f64 (neg.f64 c) c) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x)) (*.f64 (neg.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x))
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(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 s #s(literal -1 binary64)) c))
(pow.f64 (*.f64 c s) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 s))
(/.f64 (pow.f64 c #s(literal -1 binary64)) s)
(/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 c))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c) s))
(/.f64 (pow.f64 s #s(literal -1 binary64)) c)
(/.f64 #s(literal 1 binary64) (*.f64 c s))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 c s)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 c s)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 #s(literal -1 binary64) (*.f64 c s)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 c s)))
(exp.f64 (-.f64 (*.f64 (log.f64 s) #s(literal -1 binary64)) (log.f64 c)))
(exp.f64 (*.f64 (log.f64 (*.f64 c s)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 s x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 s x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) s) #s(literal -1 binary64)) (pow.f64 s #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 s x)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 s x)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (/.f64 #s(literal -1 binary64) (*.f64 s x)))
(*.f64 (neg.f64 (pow.f64 s #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 s s) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 s s) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 s x) #s(literal -1 binary64)) (pow.f64 (*.f64 s x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 s #s(literal -2 binary64)))
(*.f64 (pow.f64 s #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 s #s(literal -1 binary64)) (pow.f64 (*.f64 s (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 s #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 x x) s) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (*.f64 s x)))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 s x) #s(literal -2 binary64))
(/.f64 (pow.f64 (*.f64 s x) #s(literal -1 binary64)) (*.f64 s x))
(/.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 s #s(literal -2 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 s x)) #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 s x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 s x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal -2 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) s)) (*.f64 c (*.f64 s x)))
(*.f64 (*.f64 (*.f64 s x) (sqrt.f64 c)) (*.f64 (*.f64 s x) (sqrt.f64 c)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 s x))) (sqrt.f64 (*.f64 s x))) (*.f64 (sqrt.f64 (*.f64 c (*.f64 s x))) (sqrt.f64 (*.f64 s x))))
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 s x)) (*.f64 (sqrt.f64 c) (*.f64 s x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 (*.f64 c (*.f64 s x)))) (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 (*.f64 c (*.f64 s x)))))
(*.f64 (*.f64 (*.f64 c s) s) (*.f64 x x))
(*.f64 (*.f64 c (*.f64 (*.f64 s s) x)) x)
(*.f64 (*.f64 (neg.f64 x) s) (*.f64 (*.f64 (neg.f64 x) s) c))
(*.f64 (*.f64 c (*.f64 x x)) (*.f64 s s))
(*.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (neg.f64 c))
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))
(*.f64 (neg.f64 c) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) #s(literal 1 binary64))
(*.f64 (*.f64 c s) (*.f64 (*.f64 x x) s))
(*.f64 (*.f64 x x) (*.f64 (*.f64 s s) c))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c x))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 s x))
(*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 (*.f64 s x) (neg.f64 (*.f64 (*.f64 (neg.f64 x) s) c)))
(*.f64 (*.f64 s x) (*.f64 c (*.f64 s x)))
(*.f64 s (*.f64 (*.f64 (*.f64 x x) s) c))
(*.f64 s (*.f64 x (*.f64 c (*.f64 s x))))
(*.f64 x (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 x (*.f64 s (*.f64 c (*.f64 s x))))
(pow.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 c s) (neg.f64 s)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 c s) s) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (/.f64 #s(literal -1 binary64) (*.f64 s x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) c))
(/.f64 (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 c) (neg.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 c #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c)))
(/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (pow.f64 c #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) #s(literal 1 binary64))
(/.f64 (*.f64 s s) (*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 c s) s)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c))
(/.f64 (*.f64 c (*.f64 s x)) (pow.f64 (*.f64 s x) #s(literal -1 binary64)))
(/.f64 c (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
(/.f64 (*.f64 s x) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)))) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (log.f64 c) (*.f64 (log.f64 (*.f64 s x)) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64) (log.f64 c)))
(exp.f64 (+.f64 (log.f64 (*.f64 c (*.f64 s x))) (log.f64 (*.f64 s x))))
(exp.f64 (+.f64 (log.f64 c) (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 s x)) (log.f64 (*.f64 c (*.f64 s x)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 s s))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) s) #s(literal 1 binary64)) s)
(*.f64 (*.f64 (*.f64 x x) s) s)
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 s s))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 s s) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 s (pow.f64 (*.f64 s (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 s (pow.f64 (*.f64 (*.f64 x x) s) #s(literal 1 binary64)))
(*.f64 s (*.f64 s (*.f64 x x)))
(*.f64 s (*.f64 (*.f64 x x) s))
(*.f64 x (*.f64 (*.f64 s s) x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 s x)))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 s s)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 x) s) (/.f64 #s(literal -1 binary64) (*.f64 s x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x x) s) (pow.f64 s #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
(/.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 s s) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 s s)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
(/.f64 (*.f64 s x) (pow.f64 (*.f64 s x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 s x)) (log.f64 (*.f64 s x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)))

eval394.0ms (3.5%)

Memory
43.2MiB live, 658.3MiB allocated
Compiler

Compiled 52 200 to 3 702 computations (92.9% saved)

prune519.0ms (4.6%)

Memory
0.5MiB live, 882.1MiB allocated
Pruning

59 alts after pruning (57 fresh and 2 done)

PrunedKeptTotal
New2 632352 667
Fresh152237
Picked325
Done000
Total2 650592 709
Accuracy
100.0%
Counts
2 709 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s c)) x) (*.f64 s c)) x)
91.2%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)))
70.1%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) c)) (*.f64 c (*.f64 x x)))
78.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
76.3%
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
68.4%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
79.3%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))
70.7%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
87.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
67.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
77.0%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x)))
78.2%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
74.9%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
95.5%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
98.5%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
81.9%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c x) (*.f64 x (*.f64 (*.f64 s c) s))))
82.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) (*.f64 s x)) (neg.f64 x)) c) c))
91.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c))
82.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(approx (* (* (* s x) (* s x)) c) (*.f64 (*.f64 (*.f64 (*.f64 x c) x) s) s)) c))
65.3%
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
63.5%
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
77.6%
(/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
58.2%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
58.8%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
62.9%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
70.7%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
76.3%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
65.3%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s)) (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s))) (*.f64 x (*.f64 c c))))
76.9%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))
62.1%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) s) (*.f64 c (*.f64 x x))))
70.7%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x)))
60.0%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
68.5%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x))))
79.2%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
63.8%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 c (*.f64 (*.f64 s s) x))))
73.1%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 s x)))))
54.6%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
51.2%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) c)))
50.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)) (*.f64 c s)) (*.f64 (neg.f64 c) s)) (*.f64 x x)))
47.3%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 s)) (*.f64 s (*.f64 (neg.f64 c) c))) (*.f64 x x)))
49.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c c)) (*.f64 (*.f64 x x) s)))
61.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c)))
55.6%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
50.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) (*.f64 s c))) (*.f64 x x)))
49.2%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
53.5%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) c))))
65.3%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))))
22.6%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
75.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
69.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (*.f64 c c)))
66.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (*.f64 (*.f64 s c) c)))
61.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x)))
75.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 (neg.f64 x) c) s)))
65.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) c) (*.f64 (*.f64 s c) s))))
65.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
69.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (neg.f64 s))))
69.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
69.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
69.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 c s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) c)))))
Compiler

Compiled 2 200 to 1 280 computations (41.8% saved)

simplify158.0ms (1.4%)

Memory
-7.9MiB live, 149.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 s s)
cost-diff0
(*.f64 x (*.f64 s s))
cost-diff0
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
cost-diff0
(cos.f64 (+.f64 x x))
cost-diff0
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))
cost-diff0
(neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))
cost-diff0
(/.f64 #s(literal -1 binary64) s)
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 c s))
cost-diff0
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
cost-diff0
(*.f64 c (*.f64 s x))
cost-diff0
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(cos.f64 (*.f64 x #s(literal 2 binary64)))
Rules
5 536×lower-fma.f32
5 530×lower-fma.f64
4 092×lower-*.f32
4 056×lower-*.f64
3 690×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051379
085377
1181377
2465377
31514377
42375377
53696377
65531377
76815377
08080377
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))
(*.f64 c (*.f64 s x))
c
(*.f64 s x)
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))
(*.f64 (*.f64 x x) (*.f64 c s))
(*.f64 x x)
x
(*.f64 c s)
c
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
(/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))
(/.f64 #s(literal -1 binary64) s)
#s(literal -1 binary64)
s
(neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))
(*.f64 x x)
x
(*.f64 (*.f64 c s) c)
(*.f64 c s)
c
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -4/45 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c)
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 s x)
s
c
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
(*.f64 x (*.f64 s s))
(*.f64 s s)
s
(*.f64 x (*.f64 c c))
(*.f64 c c)
c
Outputs
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s c) c)) (*.f64 x x)) s)
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)
(*.f64 c (*.f64 s x))
(*.f64 (*.f64 s x) c)
c
(*.f64 s x)
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) x) (*.f64 (*.f64 c c) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) x) (*.f64 (*.f64 c c) x))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)
(*.f64 (*.f64 x x) (*.f64 c s))
(*.f64 (*.f64 (*.f64 s x) c) x)
(*.f64 x x)
x
(*.f64 c s)
(*.f64 s c)
c
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) s) x) (*.f64 (*.f64 c c) x))
(/.f64 #s(literal -1 binary64) s)
#s(literal -1 binary64)
s
(neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 c) c) x) x) s)
(*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))
(*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c)
(*.f64 x x)
x
(*.f64 (*.f64 c s) c)
(*.f64 (*.f64 s c) c)
(*.f64 c s)
(*.f64 s c)
c
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
(fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -4/45 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c)
(*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s)
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 (*.f64 (*.f64 x x) s) s)
(*.f64 s x)
s
c
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s c) c)) (*.f64 x x)) s)
(cos.f64 (+.f64 x x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)
(*.f64 x (*.f64 s s))
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 x (*.f64 c c))
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c

localize175.0ms (1.6%)

Memory
0.1MiB live, 209.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
accuracy6.653304941721784
(*.f64 x (*.f64 s s))
accuracy6.961533516563654
(*.f64 x (*.f64 c c))
accuracy12.41181665716338
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
accuracy0.23113251953688405
(*.f64 (*.f64 s x) (*.f64 s x))
accuracy2.8935751101033746
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)
accuracy5.236834811667021
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c)
accuracy29.811003426743536
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.0859375
(*.f64 (*.f64 c s) c)
accuracy4.223316760032093
(/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))
accuracy13.059439257933136
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
accuracy15.223066767597034
(*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))
accuracy0.0859375
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))
accuracy4.451537875553921
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))
accuracy11.327340480383016
(*.f64 (*.f64 x x) (*.f64 c s))
accuracy13.059439257933136
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
accuracy0
(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy0.109375
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
accuracy0.21941376953688402
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))
accuracy2.9916358449422313
(*.f64 c (*.f64 s x))
Samples
119.0ms256×0valid
Compiler

Compiled 324 to 53 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 41.0ms (46% of total)
ival-cos: 22.0ms (24.7% of total)
ival-div: 10.0ms (11.2% of total)
const: 6.0ms (6.7% of total)
ival-add: 4.0ms (4.5% of total)
ival-pow2: 4.0ms (4.5% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series174.0ms (1.5%)

Memory
-25.5MiB live, 92.7MiB allocated
Counts
29 → 780
Calls
Call 1
Inputs
#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())
#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 c s)) (patch (*.f64 (*.f64 x x) (*.f64 c s)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) s) (patch (/.f64 #s(literal -1 binary64) s) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) (patch (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (patch (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) #<representation binary64>) () ())
#s(alt #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (+.f64 x x)) (patch (cos.f64 (+.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) (patch (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 s s)) (patch (*.f64 x (*.f64 s s)) #<representation binary64>) () ())
#s(alt (*.f64 s s) (patch (*.f64 s s) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) (patch (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 c s) c) (patch (*.f64 (*.f64 c s) c) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 s x) (*.f64 s x)) (patch (*.f64 (*.f64 s x) (*.f64 s x)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) (taylor 0 x) (#s(alt (cos.f64 (*.f64 x #s(literal 2 binary64))) (patch (cos.f64 (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) (patch (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (* c (* s x)) (taylor 0 x) (#s(alt (*.f64 c (*.f64 s x)) (patch (*.f64 c (*.f64 s x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 c s)) (patch (*.f64 (*.f64 x x) (*.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 c s)) (patch (*.f64 (*.f64 x x) (*.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 c s)) (patch (*.f64 (*.f64 x x) (*.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (* c (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 c s)) (patch (*.f64 (*.f64 x x) (*.f64 c s)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) (patch #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow c 2) (* s (pow x 2)))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) (patch (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow c 2) (* s (pow x 2)))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) (patch (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow c 2) (* s (pow x 2)))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) (patch (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow c 2) (* s (pow x 2)))) (taylor 0 x) (#s(alt (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) (patch (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* s (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (patch (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) s) (taylor -inf c) (#s(alt (*.f64 (*.f64 c s) c) (patch (*.f64 (*.f64 c s) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) s) (taylor -inf c) (#s(alt (*.f64 (*.f64 c s) c) (patch (*.f64 (*.f64 c s) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) s) (taylor -inf c) (#s(alt (*.f64 (*.f64 c s) c) (patch (*.f64 (*.f64 c s) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) s) (taylor -inf c) (#s(alt (*.f64 (*.f64 c s) c) (patch (*.f64 (*.f64 c s) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())) ())
#s(alt (* c (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) (patch (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (* (pow s 2) (pow x 2))) (taylor -inf c) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) (patch (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) x) (taylor -inf c) (#s(alt (*.f64 x (*.f64 c c)) (patch (*.f64 x (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2)))) (taylor -inf c) (#s(alt (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) (patch (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
46.0ms
c
@0
((cos (* x 2)) (* x 2) (* (* c (* s x)) (* c (* s x))) (* c (* s x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* x x) (* c s)) (* c s)) (* (* x x) (* c s)) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 s) (neg (* (* x x) (* (* c s) c))) (* (* x x) (* (* c s) c)) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (cos (+ x x)) (* (* x (* s s)) (* x (* c c))) (* x (* s s)) (* s s) (/ (cos (* x 2)) (* (* c (* s x)) (* c (* s x)))) (/ 1 (* (* (* x x) (* c s)) (* c s))) (/ (/ -1 s) (neg (* (* x x) (* (* c s) c)))) (* (* c s) c) (* (* (* s x) (* s x)) c) (* (* (* (* s x) (* s x)) c) c) (* (* s x) (* s x)) (* x (* c c)) (/ (cos (+ x x)) (* (* x (* s s)) (* x (* c c)))))
24.0ms
x
@0
((cos (* x 2)) (* x 2) (* (* c (* s x)) (* c (* s x))) (* c (* s x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* x x) (* c s)) (* c s)) (* (* x x) (* c s)) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 s) (neg (* (* x x) (* (* c s) c))) (* (* x x) (* (* c s) c)) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (cos (+ x x)) (* (* x (* s s)) (* x (* c c))) (* x (* s s)) (* s s) (/ (cos (* x 2)) (* (* c (* s x)) (* c (* s x)))) (/ 1 (* (* (* x x) (* c s)) (* c s))) (/ (/ -1 s) (neg (* (* x x) (* (* c s) c)))) (* (* c s) c) (* (* (* s x) (* s x)) c) (* (* (* (* s x) (* s x)) c) c) (* (* s x) (* s x)) (* x (* c c)) (/ (cos (+ x x)) (* (* x (* s s)) (* x (* c c)))))
10.0ms
s
@-inf
((cos (* x 2)) (* x 2) (* (* c (* s x)) (* c (* s x))) (* c (* s x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* x x) (* c s)) (* c s)) (* (* x x) (* c s)) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 s) (neg (* (* x x) (* (* c s) c))) (* (* x x) (* (* c s) c)) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (cos (+ x x)) (* (* x (* s s)) (* x (* c c))) (* x (* s s)) (* s s) (/ (cos (* x 2)) (* (* c (* s x)) (* c (* s x)))) (/ 1 (* (* (* x x) (* c s)) (* c s))) (/ (/ -1 s) (neg (* (* x x) (* (* c s) c)))) (* (* c s) c) (* (* (* s x) (* s x)) c) (* (* (* (* s x) (* s x)) c) c) (* (* s x) (* s x)) (* x (* c c)) (/ (cos (+ x x)) (* (* x (* s s)) (* x (* c c)))))
5.0ms
x
@-inf
((cos (* x 2)) (* x 2) (* (* c (* s x)) (* c (* s x))) (* c (* s x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* x x) (* c s)) (* c s)) (* (* x x) (* c s)) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 s) (neg (* (* x x) (* (* c s) c))) (* (* x x) (* (* c s) c)) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (cos (+ x x)) (* (* x (* s s)) (* x (* c c))) (* x (* s s)) (* s s) (/ (cos (* x 2)) (* (* c (* s x)) (* c (* s x)))) (/ 1 (* (* (* x x) (* c s)) (* c s))) (/ (/ -1 s) (neg (* (* x x) (* (* c s) c)))) (* (* c s) c) (* (* (* s x) (* s x)) c) (* (* (* (* s x) (* s x)) c) c) (* (* s x) (* s x)) (* x (* c c)) (/ (cos (+ x x)) (* (* x (* s s)) (* x (* c c)))))
5.0ms
x
@inf
((cos (* x 2)) (* x 2) (* (* c (* s x)) (* c (* s x))) (* c (* s x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* x x) (* c s)) (* c s)) (* (* x x) (* c s)) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 s) (neg (* (* x x) (* (* c s) c))) (* (* x x) (* (* c s) c)) (/ (cos (* 2 x)) (* (* (* (* s x) (* s x)) c) c)) (cos (* 2 x)) (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (cos (+ x x)) (* (* x (* s s)) (* x (* c c))) (* x (* s s)) (* s s) (/ (cos (* x 2)) (* (* c (* s x)) (* c (* s x)))) (/ 1 (* (* (* x x) (* c s)) (* c s))) (/ (/ -1 s) (neg (* (* x x) (* (* c s) c)))) (* (* c s) c) (* (* (* s x) (* s x)) c) (* (* (* (* s x) (* s x)) c) c) (* (* s x) (* s x)) (* x (* c c)) (/ (cos (+ x x)) (* (* x (* s s)) (* x (* c c)))))

simplify341.0ms (3%)

Memory
17.9MiB live, 213.2MiB allocated
Algorithm
egg-herbie
Rules
21 734×lower-fma.f64
21 734×lower-fma.f32
6 300×lower-*.f64
6 300×lower-*.f32
3 080×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0868374
12018374
25768304
321898246
452618206
081438139
Stop Event
iter limit
node limit
Counts
780 → 780
Calls
Call 1
Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
-2
(- (* 2/3 (pow x 2)) 2)
(- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)
(- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow s 2) (pow x 2))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* -4/45 (pow x 6))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) 4/45))
(* (pow x 6) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 4/45 (/ 2 (pow x 4)))))
(* -4/45 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 4/45))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))
(* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) (+ 4/45 (/ 2 (pow x 4)))))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(* (pow s 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* c (* s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(* c (* s x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(* c (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* -1 (* (pow c 2) (* s (pow x 2))))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(* (pow c 2) (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* (pow c 2) s)
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* c (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(* (pow c 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* c (* s x))
(*.f64 (*.f64 s x) c)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 x s) c) (*.f64 s c)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c))) (*.f64 x x))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 x s) c) (*.f64 s c)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c))) (*.f64 x x))
(* -1 (* (pow c 2) (* s (pow x 2))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s c))
(* -1 (* (pow c 2) (* s (pow x 2))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s c))
(* -1 (* (pow c 2) (* s (pow x 2))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s c))
(* -1 (* (pow c 2) (* s (pow x 2))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s c))
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 x s) c) (*.f64 s c)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
-2
#s(literal -2 binary64)
(- (* 2/3 (pow x 2)) 2)
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow s 2) x)
(*.f64 (*.f64 s x) s)
(* (pow s 2) x)
(*.f64 (*.f64 s x) s)
(* (pow s 2) x)
(*.f64 (*.f64 s x) s)
(* (pow s 2) x)
(*.f64 (*.f64 s x) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 x s) c) (*.f64 s c)) (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c))) (*.f64 x x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
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(* c (* s x))
(*.f64 (*.f64 s x) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(* -1 (* (pow c 2) (* s (pow x 2))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s c))
(* -1 (* (pow c 2) (* s (pow x 2))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s c))
(* -1 (* (pow c 2) (* s (pow x 2))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s c))
(* -1 (* (pow c 2) (* s (pow x 2))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s c))
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 (*.f64 (*.f64 s x) s) c))
(* (pow c 2) s)
(*.f64 s (*.f64 c c))
(* (pow c 2) s)
(*.f64 s (*.f64 c c))
(* (pow c 2) s)
(*.f64 s (*.f64 c c))
(* (pow c 2) s)
(*.f64 s (*.f64 c c))
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(* (pow c 2) x)
(*.f64 (*.f64 c c) x)
(* (pow c 2) x)
(*.f64 (*.f64 c c) x)
(* (pow c 2) x)
(*.f64 (*.f64 c c) x)
(* (pow c 2) x)
(*.f64 (*.f64 c c) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 s c)) (*.f64 s c))

rewrite96.0ms (0.8%)

Memory
22.6MiB live, 97.4MiB allocated
Rules
1 014×lower-*.f32
978×lower-*.f64
762×lower-/.f32
752×lower-/.f64
442×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051327
085285
1299261
01537261
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
29 → 640
Calls
Call 1
Inputs
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))
(*.f64 c (*.f64 s x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))
(*.f64 (*.f64 x x) (*.f64 c s))
(*.f64 x x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
(/.f64 #s(literal -1 binary64) s)
(neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64))
(cos.f64 (+.f64 x x))
(*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c)))
(*.f64 x (*.f64 s s))
(*.f64 s s)
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s)))
(/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c))))
(*.f64 (*.f64 c s) c)
(*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c)
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 x (*.f64 c c))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
Outputs
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 x x)
(*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 s c) c) x)) #s(literal -1 binary64)) s)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) s) x)
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s))
(*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)
(*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x))
(*.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 s c) c) x)) #s(literal 1 binary64)) (*.f64 s #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 s c) c) x)) #s(literal 1 binary64)) (neg.f64 s))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 s c) c) (pow.f64 s #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 c) (*.f64 s c)) (pow.f64 s #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 c x) (*.f64 c (*.f64 (*.f64 s s) x)))
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 s (*.f64 s c)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 s c) c) (/.f64 #s(literal -1 binary64) s)))
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(*.f64 (*.f64 s s) (*.f64 x (*.f64 (*.f64 c c) x)))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c)))
(*.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(*.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 s c) c) x)) (*.f64 s #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c) (/.f64 s #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c) s)
(*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c) (/.f64 #s(literal -1 binary64) s)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) (/.f64 (*.f64 s c) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) (*.f64 s c))
(*.f64 (*.f64 s c) (/.f64 (*.f64 (*.f64 (*.f64 s x) c) x) #s(literal 1 binary64)))
(*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 s x) c) x))
(*.f64 (*.f64 x x) (/.f64 (*.f64 (neg.f64 c) (*.f64 s c)) (/.f64 #s(literal -1 binary64) s)))
(*.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))
(*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x)))
(*.f64 (*.f64 s x) (*.f64 (*.f64 (*.f64 s c) c) x))
(*.f64 s (*.f64 (*.f64 (*.f64 x x) s) (*.f64 c c)))
(*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c))
(*.f64 c (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(*.f64 x (*.f64 x (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 x (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) s))
(*.f64 x (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)))
(*.f64 x (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 s c) c) x)) #s(literal -1 binary64)) (pow.f64 s #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 s c) c) x)) (/.f64 #s(literal -1 binary64) s))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c) (pow.f64 s #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))

eval213.0ms (1.9%)

Memory
-18.9MiB live, 374.7MiB allocated
Compiler

Compiled 29 809 to 1 284 computations (95.7% saved)

prune161.0ms (1.4%)

Memory
-8.5MiB live, 352.2MiB allocated
Pruning

52 alts after pruning (50 fresh and 2 done)

PrunedKeptTotal
New1 507191 526
Fresh213152
Picked325
Done202
Total1 533521 585
Accuracy
100.0%
Counts
1 585 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.2%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)))
70.1%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) c)) (*.f64 c (*.f64 x x)))
78.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
76.3%
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
59.8%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
68.4%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
70.7%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
91.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c) s))
83.5%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) s) x))
87.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
91.7%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x))
93.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) (*.f64 s c)))
98.5%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
74.3%
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* x (* s s)) (* x (* c c))) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))))
95.5%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
81.9%
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c x) (*.f64 x (*.f64 (*.f64 s c) s))))
82.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) (*.f64 s x)) (neg.f64 x)) c) c))
60.8%
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
61.3%
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
65.3%
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
63.5%
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
77.6%
(/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
76.3%
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
70.7%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
65.3%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s)) (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s))) (*.f64 x (*.f64 c c))))
76.9%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))
68.5%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x))))
73.1%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 s x)))))
54.6%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
51.2%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) c)))
50.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)) (*.f64 c s)) (*.f64 (neg.f64 c) s)) (*.f64 x x)))
47.3%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 s)) (*.f64 s (*.f64 (neg.f64 c) c))) (*.f64 x x)))
49.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c c)) (*.f64 (*.f64 x x) s)))
61.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c)))
55.6%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
50.8%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) (*.f64 s c))) (*.f64 x x)))
53.5%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) c))))
22.6%
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
75.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
67.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 s c) c)))
61.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x)))
72.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c)) s))
75.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 (neg.f64 x) c) s)))
65.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
72.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 #s(approx (* (* x x) (* (* c s) c)) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)))))
69.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (neg.f64 s))))
77.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
75.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)))
72.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))))
69.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
75.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
60.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
Compiler

Compiled 2 976 to 952 computations (68% saved)

regimes194.0ms (1.7%)

Memory
8.3MiB live, 356.8MiB allocated
Counts
120 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 s x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 c (*.f64 (*.f64 s s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) s) (*.f64 c (*.f64 x x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c)) s))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (neg.f64 s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 #s(approx (* (* x x) (* (* c s) c)) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) (*.f64 (neg.f64 s) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 (neg.f64 x) c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 c s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 s c) c)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c c)) (*.f64 (*.f64 x x) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)) (*.f64 c s)) (*.f64 (neg.f64 c) s)) (*.f64 x x)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 s)) (*.f64 s (*.f64 (neg.f64 c) c))) (*.f64 x x)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) (*.f64 s c))) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) c))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 (*.f64 s c) (sqrt.f64 s)) (sqrt.f64 s))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s)) (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s))) (*.f64 x (*.f64 c c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (*.f64 c c)))
(/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (*.f64 (*.f64 s c) c)))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (neg.f64 x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* x (* s s)) (* x (* c c))) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) (*.f64 s c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) s) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(approx (* (* (* s x) (* s x)) c) (*.f64 (*.f64 (*.f64 (*.f64 x c) x) s) s)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(approx (* (pow (* x s) 2) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 x (*.f64 s s)) c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 c c)) s) (*.f64 x s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c x) (*.f64 x (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) (*.f64 s x)) (neg.f64 x)) c) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) c)) (*.f64 c (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x x) s) c)) (*.f64 s c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 s s))) (*.f64 x (*.f64 c c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 s c) c)) s))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s c)) x) (*.f64 s c)) x)
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (*.f64 s s)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 x s)) s)))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) (cos.f64 (*.f64 x #s(literal 2 binary64)))) x)
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) c))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) c) #s(literal 2 binary64)) (*.f64 c c)) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x s) #s(literal 2 binary64))))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
Calls

6 calls:

37.0ms
(pow.f64 c #s(literal 2 binary64))
32.0ms
c
32.0ms
s
31.0ms
x
30.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1c
98.5%1s
98.5%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
98.5%1(pow.f64 c #s(literal 2 binary64))
98.5%1(pow.f64 s #s(literal 2 binary64))
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes236.0ms (2.1%)

Memory
-23.9MiB live, 218.3MiB allocated
Counts
76 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 s x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 c (*.f64 (*.f64 s s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) s) (*.f64 c (*.f64 x x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c)) s))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (neg.f64 s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 #s(approx (* (* x x) (* (* c s) c)) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) (*.f64 (neg.f64 s) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 (neg.f64 x) c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 c s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 s c) c)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c c)) (*.f64 (*.f64 x x) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)) (*.f64 c s)) (*.f64 (neg.f64 c) s)) (*.f64 x x)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 s)) (*.f64 s (*.f64 (neg.f64 c) c))) (*.f64 x x)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) (*.f64 s c))) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) c))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 (*.f64 s c) (sqrt.f64 s)) (sqrt.f64 s))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s)) (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s))) (*.f64 x (*.f64 c c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (*.f64 c c)))
(/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (*.f64 (*.f64 s c) c)))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (neg.f64 x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* x (* s s)) (* x (* c c))) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
Outputs
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* x (* s s)) (* x (* c c))) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))))
Calls

6 calls:

75.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
38.0ms
s
37.0ms
(pow.f64 c #s(literal 2 binary64))
34.0ms
(pow.f64 s #s(literal 2 binary64))
27.0ms
c
Results
AccuracySegmentsBranch
83.3%2c
91.4%2s
83.3%2(pow.f64 c #s(literal 2 binary64))
91.4%2(pow.f64 s #s(literal 2 binary64))
93.3%2x
85.9%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes202.0ms (1.8%)

Memory
-2.9MiB live, 197.3MiB allocated
Counts
74 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 s x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 c (*.f64 (*.f64 s s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) s) (*.f64 c (*.f64 x x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c)) s))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (neg.f64 s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 #s(approx (* (* x x) (* (* c s) c)) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) (*.f64 (neg.f64 s) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 (neg.f64 x) c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 c s)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) s) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 s c) c)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 s c) s)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c c)) (*.f64 (*.f64 x x) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)) (*.f64 c s)) (*.f64 (neg.f64 c) s)) (*.f64 x x)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 s)) (*.f64 s (*.f64 (neg.f64 c) c))) (*.f64 x x)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) (*.f64 s c))) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) c))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c))) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) c) (*.f64 (*.f64 (*.f64 s c) (sqrt.f64 s)) (sqrt.f64 s))))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) (*.f64 s c)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) s) c) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s)) (*.f64 (sqrt.f64 (*.f64 s x)) (sqrt.f64 s))) (*.f64 x (*.f64 c c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (*.f64 c c)))
(/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal -2 binary64))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) c) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) s) (*.f64 (*.f64 s c) c)))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 x (*.f64 c s)) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* x 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) c) (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (neg.f64 x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c) c))
Outputs
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))
Calls

6 calls:

46.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
46.0ms
c
35.0ms
(pow.f64 c #s(literal 2 binary64))
28.0ms
(pow.f64 s #s(literal 2 binary64))
24.0ms
x
Results
AccuracySegmentsBranch
79.3%1(pow.f64 c #s(literal 2 binary64))
79.3%1c
83.1%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
79.3%1s
79.3%1(pow.f64 s #s(literal 2 binary64))
79.3%1x
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes9.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 s x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 c (*.f64 (*.f64 s s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) s) (*.f64 c (*.f64 x x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c)) s))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (neg.f64 s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 #s(approx (* (* x x) (* (* c s) c)) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) s) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 c s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (neg.f64 x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) (*.f64 (neg.f64 s) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 (neg.f64 x) c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
Outputs
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x)))
Calls

1 calls:

8.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
83.1%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes46.0ms (0.4%)

Memory
-28.0MiB live, 11.2MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 s x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 c (*.f64 (*.f64 s s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) s) (*.f64 c (*.f64 x x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) (*.f64 (*.f64 (*.f64 c c) x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) c)) s))
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) c) x)) (*.f64 x c)))
Outputs
#s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
Calls

1 calls:

5.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
83.1%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes40.0ms (0.4%)

Memory
21.0MiB live, 59.7MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 s x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 c (*.f64 (*.f64 s s) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 s (*.f64 (*.f64 c c) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s s)) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) s) (*.f64 c (*.f64 x x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 s x)) c) (*.f64 s x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (+ (* (+ (* -4/45 (* x x)) 2/3) (* x x)) -2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c))
Outputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
Calls

6 calls:

16.0ms
s
5.0ms
c
5.0ms
x
5.0ms
(pow.f64 s #s(literal 2 binary64))
4.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
79.2%1c
79.2%1(pow.f64 c #s(literal 2 binary64))
79.2%1s
79.2%1(pow.f64 s #s(literal 2 binary64))
79.2%1x
79.2%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes41.0ms (0.4%)

Memory
-1.4MiB live, 43.3MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 c (*.f64 s x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 c (*.f64 (*.f64 s s) x))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
Calls

6 calls:

25.0ms
(pow.f64 c #s(literal 2 binary64))
3.0ms
s
3.0ms
c
3.0ms
x
3.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
77.5%1c
77.5%1s
77.5%1(pow.f64 c #s(literal 2 binary64))
77.5%1(pow.f64 s #s(literal 2 binary64))
77.5%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
77.5%1x
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes30.0ms (0.3%)

Memory
-12.5MiB live, 26.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 c s)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
Calls

6 calls:

19.0ms
c
2.0ms
s
2.0ms
x
2.0ms
(pow.f64 s #s(literal 2 binary64))
2.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
75.5%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
75.5%1c
75.5%1s
75.5%1(pow.f64 c #s(literal 2 binary64))
75.5%1(pow.f64 s #s(literal 2 binary64))
75.5%1x
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes8.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
Calls

6 calls:

1.0ms
c
1.0ms
x
1.0ms
s
1.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
1.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
60.3%1c
60.3%1s
60.3%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
60.3%1(pow.f64 c #s(literal 2 binary64))
60.3%1(pow.f64 s #s(literal 2 binary64))
60.3%1x
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch17.0ms (0.2%)

Memory
-15.4MiB live, 22.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.7724919052967064
1.0970701446957758
Samples
13.0ms64×0valid
Compiler

Compiled 238 to 130 computations (45.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 2.0ms (42.1% of total)
ival-mult: 2.0ms (42.1% of total)
ival-pow2: 1.0ms (21.1% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.066344176869617e-69
0.0
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.066344176869617e-69
0.0
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.066344176869617e-69
0.0
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify38.0ms (0.3%)

Memory
12.8MiB live, 52.4MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109435
1133435
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
(if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* x (* s s)) (* x (* c c))) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1942668892225729/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1942668892225729/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c)))) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1942668892225729/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
(if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* x (* s s)) (* x (* c c))) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
(if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))) (/.f64 (cos.f64 (+.f64 x x)) #s(approx (* (* x (* s s)) (* x (* c c))) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1942668892225729/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -1942668892225729/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (/.f64 #s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) c) c)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1942668892225729/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c)))) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -1942668892225729/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 c s)))) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 s x))) (*.f64 c (*.f64 s x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1942668892225729/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 s c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 s #s(literal 2 binary64)) x) x) (pow.f64 c #s(literal 2 binary64)))) #s(literal -1942668892225729/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (/ (cos (* x 2)) c) (* (pow (* x s) 2) c)) #s(approx (/ (* (+ (* -2 (* x x)) 1) (/ (/ (/ 1 s) c) (* s c))) (* x x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) c) (*.f64 c s)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 s x)) (*.f64 c (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) c) x) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c (*.f64 s x)) x) s) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)) (*.f64 c s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) #s(approx (* (* x x) (* c s)) (*.f64 (*.f64 (*.f64 s x) x) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* x x) (* c s)) (* c s)) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))))

soundness2.0s (17.8%)

Memory
6.5MiB live, 1 325.0MiB allocated
Rules
21 734×lower-fma.f64
21 734×lower-fma.f32
19 320×lower-fma.f64
19 320×lower-fma.f32
15 474×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053270
084242
1311228
21627218
08569218
051327
085285
1299261
01537261
0658726
11548726
24678656
319668210
437357866
558977866
081267781
01252
02052
15552
221748
3194642
0839642
0501512
11171512
23831498
319491488
447631480
569091480
080061468
0868374
12018374
25768304
321898246
452618206
081438139
041193
068179
1225159
21062159
08288159
0766588
11826588
25356516
321006464
445646424
571846424
086066376
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 534 to 639 computations (58.3% saved)

preprocess275.0ms (2.4%)

Memory
-18.2MiB live, 257.1MiB allocated
Remove

(abs x)

Compiler

Compiled 1 902 to 780 computations (59% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...