mixedcos

Time bar (total: 3.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze155.0ms (4.1%)

Memory
-19.7MiB live, 165.0MiB allocated; 28ms collecting garbage
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)

sample1.4s (37%)

Memory
66.8MiB live, 1 416.1MiB allocated; 274ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 798.0ms
ival-pow2: 267.0ms (33.4% of total)
ival-mult: 246.0ms (30.8% of total)
ival-cos: 224.0ms (28.1% of total)
ival-div: 49.0ms (6.1% of total)
exact: 7.0ms (0.9% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain147.0ms (3.9%)

Memory
6.8MiB live, 198.8MiB allocated; 18ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
560-2(-2.8953580455159863e+133 1.327089801221869e-156 -9.860570468511581e-43)(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
380-2(-8.80192622150605e+158 1.6840967110697872e+137 -1.8196462209955876e-159)(*.f64 x (pow.f64 s #s(literal 2 binary64)))
240-2(2.4546537602467397e+178 8.518480341691145e+95 1.3122969046730732e-247)(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
30-0-(/.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-(pow.f64 c #s(literal 2 binary64))
00-0-(*.f64 #s(literal 2 binary64) x)
0132(-3.94765579039233e+169 5.315787606254329e-302 5.558143480399616e-175)0-(cos.f64 (*.f64 #s(literal 2 binary64) x))
00-0-s
00-0-c
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))sensitivity1320
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*o180
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*u180
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u160
(pow.f64 c #s(literal 2 binary64))overflow68
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow60
(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow52
(pow.f64 s #s(literal 2 binary64))underflow63
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))u*o150
(pow.f64 c #s(literal 2 binary64))underflow57
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow65
(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow59
(pow.f64 s #s(literal 2 binary64))overflow64
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*u140
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*o120
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*u110
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*o80
/.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)))n/o30
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow65
(pow.f64 c #s(literal 2 binary64))overflow68
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))overflow89
(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow59
(pow.f64 s #s(literal 2 binary64))overflow64
Confusion
Predicted +Predicted -
+840
-10171
Precision
0.4540540540540541
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8400
-101071
Precision?
0.4540540540540541
Recall?
1.0
Freqs
test
numberfreq
071
1127
254
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms512×0valid
Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-cos: 14.0ms (34.3% of total)
ival-mult: 12.0ms (29.4% of total)
ival-pow2: 10.0ms (24.5% of total)
ival-div: 3.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess207.0ms (5.4%)

Memory
-4.9MiB live, 183.6MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049169
1152163
2512163
32060163
45322163
01216
02016
14016
210716
339716
4237016
5634516
0803816
Stop Event
iter limit
node limit
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 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
Symmetry

(abs x)

(abs c)

(abs s)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.2%
(/.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 16 to 12 computations (25% saved)

series47.0ms (1.2%)

Memory
3.9MiB live, 59.1MiB allocated; 9ms collecting garbage
Counts
12 → 19
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
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (pow s 2) #s(hole binary64 (pow s 2)))
#s(approx s #s(hole binary64 s))
Calls

9 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
4.0ms
c
@inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
4.0ms
x
@inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
3.0ms
x
@0
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
3.0ms
s
@inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)

rewrite111.0ms (2.9%)

Memory
-17.9MiB live, 120.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081447
092415
1374351
03114339
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
31 → 119
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
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (pow s 2) #s(hole binary64 (pow s 2)))
#s(approx s #s(hole binary64 s))
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 x x)) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(*.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 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #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))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 x x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c)))
(*.f64 (*.f64 s s) (*.f64 (*.f64 c c) (*.f64 x x)))
(*.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 c (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (*.f64 (*.f64 s c) 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 (neg.f64 c) (neg.f64 c))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))))
c
(*.f64 (*.f64 (*.f64 x x) s) s)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) (pow.f64 (*.f64 s x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) (*.f64 s x))
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 (*.f64 x x) (*.f64 s s))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) (*.f64 x x))
(*.f64 s (*.f64 s (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 s s) x))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(pow.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)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)))
(*.f64 (*.f64 s x) s)
(*.f64 (*.f64 s s) x)
(*.f64 s (*.f64 s x))
(*.f64 x (*.f64 s s))
(*.f64 (neg.f64 s) (neg.f64 s))
(*.f64 (fabs.f64 s) (fabs.f64 s))
(*.f64 (exp.f64 (log.f64 s)) (exp.f64 (log.f64 s)))
(*.f64 s s)
(pow.f64 (exp.f64 (log.f64 s)) #s(literal 2 binary64))
(pow.f64 (*.f64 s s) #s(literal 1 binary64))
(pow.f64 s #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 s #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))))
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#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)))
#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)))
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (* (* x (pow s 2)) x) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
#s(approx (* x (pow s 2)) (*.f64 (*.f64 s s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (pow c 2) (*.f64 c c))
#s(approx c c)
#s(approx (pow s 2) (*.f64 s s))
#s(approx s s)

eval12.0ms (0.3%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 390 to 428 computations (82.1% saved)

prune35.0ms (0.9%)

Memory
-31.1MiB live, 19.5MiB allocated; 8ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New10817125
Fresh000
Picked101
Done000
Total10917126
Accuracy
99.8%
Counts
126 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.6%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
58.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
69.7%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
78.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
84.1%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
78.1%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
96.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
98.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
70.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
78.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
76.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
86.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
70.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))))
58.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
69.2%
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
70.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
42.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
Compiler

Compiled 580 to 438 computations (24.5% saved)

series69.0ms (1.8%)

Memory
-5.8MiB live, 85.2MiB allocated; 8ms collecting garbage
Counts
31 → 69
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))
(*.f64 (*.f64 s c) x)
(*.f64 s c)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))
(*.f64 (*.f64 c c) (*.f64 x x))
(*.f64 c c)
(*.f64 x x)
(*.f64 s s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(*.f64 s x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
Outputs
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (* (* s c) x) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (* (* (pow (* s x) 2) c) c) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (pow (* s x) 2) c) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (* (pow (* s c) 2) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ (cos (* -2 x)) (pow c 2))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (pow (* s c) 2) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
c
@inf
((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
9.0ms
x
@-inf
((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
9.0ms
s
@-inf
((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
6.0ms
c
@0
((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
6.0ms
x
@inf
((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (* (* (pow (* s x) 2) c) c) (* (pow (* s x) 2) c) (pow (* s x) 2) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))

rewrite184.0ms (4.8%)

Memory
39.4MiB live, 180.7MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01982276
02451924
17731746
056761686
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
100 → 734
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))
(*.f64 (*.f64 s c) x)
(*.f64 s c)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))
(*.f64 (*.f64 c c) (*.f64 x x))
(*.f64 c c)
(*.f64 x x)
(*.f64 s s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(*.f64 s x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (* (* s c) x) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (* (* (pow (* s x) 2) c) c) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (pow (* s x) 2) c) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (* (pow (* s c) 2) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ (cos (* -2 x)) (pow c 2))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (pow (* s c) 2) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (neg.f64 s)) (neg.f64 s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (fabs.f64 s)) (fabs.f64 s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) (*.f64 (neg.f64 s) s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) (neg.f64 c))
(/.f64 (neg.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #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 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (*.f64 s s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) s)) (*.f64 s (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 c c)) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 c c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
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#s(approx (cos (* -2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)))
#s(approx (cos (* -2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
#s(approx (* s c) (*.f64 c s))
#s(approx c c)
#s(approx (* c c) (*.f64 c c))
#s(approx (pow (* s c) 2) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
#s(approx s s)
#s(approx (* s s) (*.f64 s s))

eval112.0ms (2.9%)

Memory
6.7MiB live, 95.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 11 555 to 1 863 computations (83.9% saved)

prune44.0ms (1.2%)

Memory
-29.8MiB live, 70.3MiB allocated; 27ms collecting garbage
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New60529634
Fresh12012
Picked505
Done000
Total62229651
Accuracy
100.0%
Counts
651 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) s)
86.1%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
89.9%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
76.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c)) x)
95.7%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s))) x)
80.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x)) x)
65.6%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) s)) (*.f64 s (*.f64 x x)))
37.5%
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) (*.f64 s s)) (*.f64 x x))
58.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
89.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))
75.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
77.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) c))
76.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
94.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) s) (*.f64 c x)))
83.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x)))
77.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
98.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
82.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x)))
75.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x))))
61.1%
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))
68.7%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
33.5%
(/.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 c c) (*.f64 x x)) (*.f64 s s)))
34.2%
(/.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 c c) (*.f64 x x)) (*.f64 s s)))
60.2%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
38.6%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
76.8%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
74.4%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
51.7%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
76.8%
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
Compiler

Compiled 1 048 to 772 computations (26.3% saved)

series51.0ms (1.3%)

Memory
-8.4MiB live, 83.5MiB allocated; 7ms collecting garbage
Counts
34 → 66
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(*.f64 (*.f64 c s) x)
(*.f64 c s)
c
s
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))
(*.f64 (*.f64 c c) (*.f64 x x))
(*.f64 c c)
(*.f64 x x)
(*.f64 s s)
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64)))
(pow.f64 (*.f64 c s) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x))
(*.f64 (*.f64 s s) c)
(*.f64 (*.f64 c x) x)
(*.f64 c x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x)
(*.f64 c (*.f64 s (*.f64 c s)))
(*.f64 s (*.f64 c s))
Outputs
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* c s) x) (* (* c s) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c s) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (* (* (* s s) c) (* (* c x) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) x) #s(hole binary64 (* c (pow x 2))))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (* (* c (* s (* c s))) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (pow (* c s) -2) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (* (* s s) c) #s(hole binary64 (* c (pow s 2))))
#s(approx (* c (* s (* c s))) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx (* s (* c s)) #s(hole binary64 (* c (pow s 2))))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
c
@inf
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) -2 (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) (* (* (* s s) c) (* (* c x) x)) (* (* s s) c) (* (* c x) x) (* c x) (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (cos (* -2 x)) (* -2 x) (* (* c (* s (* c s))) x) (* c (* s (* c s))) (* s (* c s)))
6.0ms
c
@-inf
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) -2 (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) (* (* (* s s) c) (* (* c x) x)) (* (* s s) c) (* (* c x) x) (* c x) (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (cos (* -2 x)) (* -2 x) (* (* c (* s (* c s))) x) (* c (* s (* c s))) (* s (* c s)))
5.0ms
s
@-inf
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) -2 (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) (* (* (* s s) c) (* (* c x) x)) (* (* s s) c) (* (* c x) x) (* c x) (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (cos (* -2 x)) (* -2 x) (* (* c (* s (* c s))) x) (* c (* s (* c s))) (* s (* c s)))
5.0ms
s
@inf
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) -2 (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) (* (* (* s s) c) (* (* c x) x)) (* (* s s) c) (* (* c x) x) (* c x) (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (cos (* -2 x)) (* -2 x) (* (* c (* s (* c s))) x) (* c (* s (* c s))) (* s (* c s)))
5.0ms
c
@0
((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* c s) -2) -2 (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) (* (* (* s s) c) (* (* c x) x)) (* (* s s) c) (* (* c x) x) (* c x) (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (cos (* -2 x)) (* -2 x) (* (* c (* s (* c s))) x) (* c (* s (* c s))) (* s (* c s)))

rewrite199.0ms (5.2%)

Memory
26.7MiB live, 170.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822256
02261888
16741682
044821628
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
100 → 729
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(*.f64 (*.f64 c s) x)
(*.f64 c s)
c
s
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))
(*.f64 (*.f64 c c) (*.f64 x x))
(*.f64 c c)
(*.f64 x x)
(*.f64 s s)
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64)))
(pow.f64 (*.f64 c s) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x))
(*.f64 (*.f64 s s) c)
(*.f64 (*.f64 c x) x)
(*.f64 c x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x)
(*.f64 c (*.f64 s (*.f64 c s)))
(*.f64 s (*.f64 c s))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* c s) x) (* (* c s) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c s) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (* (* (* s s) c) (* (* c x) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) x) #s(hole binary64 (* c (pow x 2))))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (* (* c (* s (* c s))) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) c) (* (* c x) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (pow (* c s) -2) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (* (* s s) c) #s(hole binary64 (* c (pow s 2))))
#s(approx (* c (* s (* c s))) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx (* s (* c s)) #s(hole binary64 (* c (pow s 2))))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (neg.f64 s)) (neg.f64 s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (fabs.f64 s)) (fabs.f64 s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c x) x)) (*.f64 (*.f64 s s) c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s c) x)) (*.f64 s x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s c) x)) (*.f64 s c)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s c) x)) c) (*.f64 s x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s c) x)) x) (*.f64 s c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 c) (*.f64 s x))) (*.f64 (neg.f64 c) (*.f64 s x)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (fabs.f64 (*.f64 (*.f64 s c) x))) (fabs.f64 (*.f64 (*.f64 s c) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 s c)) (*.f64 (*.f64 (*.f64 s c) x) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s s) c)) (*.f64 c x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s s) c)) (*.f64 x x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s s) c)) x) (*.f64 c x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))) (*.f64 (neg.f64 s) s))
(/.f64 (neg.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s c) x))) (*.f64 (neg.f64 c) (*.f64 s x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s s) c))) (neg.f64 (*.f64 (*.f64 c x) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c c) s)) (*.f64 s (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (*.f64 s s))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) c) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 c c)) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 c c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
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(*.f64 (pow.f64 (*.f64 s c) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 1 binary64)) (*.f64 s c))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) (*.f64 c c)))
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (*.f64 s s)))
(*.f64 (fabs.f64 s) (*.f64 (fabs.f64 s) (*.f64 c c)))
(*.f64 (fabs.f64 c) (*.f64 (fabs.f64 c) (*.f64 s s)))
(*.f64 (*.f64 (*.f64 s s) c) c)
(*.f64 (*.f64 c c) (*.f64 s s))
(*.f64 (*.f64 s s) (*.f64 c c))
(*.f64 (*.f64 s c) (*.f64 s c))
(*.f64 s (*.f64 s (*.f64 c c)))
(*.f64 s (*.f64 (*.f64 s c) c))
(*.f64 s (*.f64 c (*.f64 s c)))
(*.f64 c (*.f64 (*.f64 s s) c))
(pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s c) #s(literal -2 binary64)))
(exp.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (*.f64 (log.f64 c) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 s c)) #s(literal 2 binary64)))
(*.f64 (*.f64 c (neg.f64 s)) (neg.f64 s))
(*.f64 (*.f64 c (fabs.f64 s)) (fabs.f64 s))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) c))
(*.f64 (fabs.f64 s) (*.f64 (fabs.f64 s) c))
(*.f64 (*.f64 s s) c)
(*.f64 (*.f64 s c) s)
(*.f64 s (*.f64 s c))
(*.f64 c (*.f64 s s))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (pow.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#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)))
#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)))
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (* (* s s) c) (* (* c x) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (* (* c s) x) (*.f64 (*.f64 s c) x))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (pow.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#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)))
#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)))
#s(approx (* (* (* s s) c) (* (* c x) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (* (* c c) (* x x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (pow.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (pow.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (* (* (* s s) c) (* (* c x) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (* (* c x) x) (*.f64 (*.f64 c x) x))
#s(approx (* c x) (*.f64 c x))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (pow.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (* (* c (* s (* c s))) x) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
#s(approx (cos (* -2 x)) (cos.f64 (*.f64 x #s(literal 2 binary64))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
#s(approx (cos (* -2 x)) (cos.f64 (*.f64 x #s(literal 2 binary64))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (* x x)) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (* (* c (* s (* c s))) x)) (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
#s(approx (* c s) (*.f64 s c))
#s(approx c c)
#s(approx (* c c) (*.f64 c c))
#s(approx (pow (* c s) -2) (pow.f64 (*.f64 s c) #s(literal -2 binary64)))
#s(approx (* (* s s) c) (*.f64 (*.f64 s s) c))
#s(approx (* c (* s (* c s))) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
#s(approx (* (* s s) c) (*.f64 (*.f64 s s) c))
#s(approx s s)
#s(approx (* s s) (*.f64 s s))

eval78.0ms (2%)

Memory
-13.1MiB live, 82.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 11 596 to 1 707 computations (85.3% saved)

prune61.0ms (1.6%)

Memory
14.1MiB live, 61.1MiB allocated; 2ms collecting garbage
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New57123594
Fresh18624
Picked235
Done000
Total59132623
Accuracy
100.0%
Counts
623 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.9%
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) s)
94.4%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 s c)) (*.f64 (*.f64 (*.f64 s c) x) x))
92.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) s) c)) x)
80.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x)) x)
68.7%
(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
69.1%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
60.2%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
70.1%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
77.0%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
98.2%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
76.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
83.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x)))
97.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c s) x)))
92.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 c (*.f64 (*.f64 (*.f64 s c) x) x))))
88.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c (*.f64 s (*.f64 (*.f64 (*.f64 s c) x) x))))
61.1%
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))
52.9%
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (pow.f64 s #s(literal -2 binary64)) (*.f64 c c))) (*.f64 x x))
38.5%
(/.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 s s) c) (*.f64 (*.f64 c x) x)))
55.4%
(/.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 c s) x) (*.f64 (*.f64 c s) x)))
34.2%
(/.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 c c) (*.f64 x x)) (*.f64 s s)))
44.1%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
60.2%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
38.6%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
61.5%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c x) #s(literal -2 binary64))) (*.f64 s s)))
74.4%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
55.1%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s)))
59.8%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
60.4%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))
58.1%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
61.5%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)))
51.7%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
76.8%
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
Compiler

Compiled 1 180 to 862 computations (26.9% saved)

series56.0ms (1.5%)

Memory
-9.1MiB live, 78.8MiB allocated; 9ms collecting garbage
Counts
34 → 75
Calls
Call 1
Inputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(*.f64 (*.f64 c s) x)
(*.f64 c s)
c
s
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))
(*.f64 (*.f64 c x) (*.f64 c x))
(*.f64 c x)
(*.f64 s s)
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x)
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64)))
(pow.f64 (*.f64 s c) #s(literal -2 binary64))
(*.f64 s c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c (*.f64 s (*.f64 (*.f64 (*.f64 s c) x) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 c (*.f64 s (*.f64 (*.f64 (*.f64 s c) x) x)))
(*.f64 s (*.f64 (*.f64 (*.f64 s c) x) x))
(*.f64 (*.f64 (*.f64 s c) x) x)
(*.f64 (*.f64 s c) x)
Outputs
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* c s) x) (* (* c s) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c s) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (* (* c x) (* c x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) (* c x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* c (* s (* (* (* s c) x) x))) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* s (* (* (* s c) x) x)) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* s c) x) x) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (pow (* s c) -2) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* -2 x)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (cos (* 2 x)) (* 2 x) 2 (* c (* s (* (* (* s c) x) x))) (* s (* (* (* s c) x) x)) (* (* (* s c) x) x) (* (* s c) x))
9.0ms
s
@-inf
((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* -2 x)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (cos (* 2 x)) (* 2 x) 2 (* c (* s (* (* (* s c) x) x))) (* s (* (* (* s c) x) x)) (* (* (* s c) x) x) (* (* s c) x))
6.0ms
c
@-inf
((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* -2 x)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (cos (* 2 x)) (* 2 x) 2 (* c (* s (* (* (* s c) x) x))) (* s (* (* (* s c) x) x)) (* (* (* s c) x) x) (* (* s c) x))
5.0ms
c
@inf
((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* -2 x)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (cos (* 2 x)) (* 2 x) 2 (* c (* s (* (* (* s c) x) x))) (* s (* (* (* s c) x) x)) (* (* (* s c) x) x) (* (* s c) x))
5.0ms
s
@inf
((/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (cos (* -2 x)) 1 (* (* (* c x) (* c x)) (* s s)) (* (* c x) (* c x)) (* c x) (* s s) (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* -2 x)) (+ (* (* x x) -2) 1) (* x x) -2 (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow (* s c) -2) (* s c) (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (cos (* 2 x)) (* 2 x) 2 (* c (* s (* (* (* s c) x) x))) (* s (* (* (* s c) x) x)) (* (* (* s c) x) x) (* (* s c) x))

rewrite74.0ms (1.9%)

Memory
16.6MiB live, 71.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012419
02362053
07302016
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
109 → 210
Calls
Call 1
Inputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(*.f64 (*.f64 c s) x)
(*.f64 c s)
c
s
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)))
#s(approx (cos (* -2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s))
(*.f64 (*.f64 c x) (*.f64 c x))
(*.f64 c x)
(*.f64 s s)
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -2 binary64)
(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x)
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64)))
(pow.f64 (*.f64 s c) #s(literal -2 binary64))
(*.f64 s c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c (*.f64 s (*.f64 (*.f64 (*.f64 s c) x) x))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 c (*.f64 s (*.f64 (*.f64 (*.f64 s c) x) x)))
(*.f64 s (*.f64 (*.f64 (*.f64 s c) x) x))
(*.f64 (*.f64 (*.f64 s c) x) x)
(*.f64 (*.f64 s c) x)
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* c s) x) (* (* c s) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c s) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* (* (* c x) (* c x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c x) (* c x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ (+ (* (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)))) x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ (+ (* (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))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* c (* s (* (* (* s c) x) x))) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* s (* (* (* s c) x) x)) #s(hole binary64 (* c (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* s c) x) x) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (* -2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow s 2)))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (pow (* s c) -2) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s))
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
x
(*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)
(*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) (*.f64 x x))
(*.f64 (neg.f64 (*.f64 (*.f64 s x) c)) (neg.f64 (*.f64 (*.f64 s x) c)))
(*.f64 (fabs.f64 (*.f64 (*.f64 s x) c)) (fabs.f64 (*.f64 (*.f64 s x) c)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s) c)
(*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 x x) s) c))
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))
(*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s))
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
(*.f64 (*.f64 s x) c)
(*.f64 (*.f64 s c) x)
(*.f64 s (*.f64 c x))
(*.f64 c (*.f64 s x))
(*.f64 x (*.f64 s c))
(*.f64 s c)
(*.f64 c s)
c
s
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) (*.f64 s s))
(/.f64 (neg.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s)))
(*.f64 (*.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
(*.f64 (*.f64 (*.f64 c x) c) x)
(*.f64 (neg.f64 (*.f64 c x)) (neg.f64 (*.f64 c x)))
(*.f64 (fabs.f64 (*.f64 c x)) (fabs.f64 (*.f64 c x)))
(*.f64 (*.f64 c x) (*.f64 c x))
(*.f64 (*.f64 x x) (*.f64 c c))
(*.f64 (*.f64 c c) (*.f64 x x))
(*.f64 c (*.f64 x (*.f64 c x)))
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
(*.f64 c x)
(*.f64 x c)
(*.f64 (pow.f64 s #s(literal 1 binary64)) (pow.f64 s #s(literal 1 binary64)))
(*.f64 (neg.f64 s) (neg.f64 s))
(*.f64 (fabs.f64 s) (fabs.f64 s))
(*.f64 s s)
(pow.f64 s #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.f64 (neg.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal -2 binary64)
(/.f64 (neg.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x)) (neg.f64 x))
(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) (*.f64 x x))
(/.f64 (neg.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64)))) (neg.f64 x))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x)
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (pow.f64 (*.f64 s c) #s(literal -1 binary64)))
(*.f64 (pow.f64 s #s(literal -2 binary64)) (pow.f64 c #s(literal -2 binary64)))
(pow.f64 (*.f64 s c) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 s c)) #s(literal -2 binary64)))
(*.f64 s c)
(*.f64 c s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s))
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x)
(*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) (*.f64 x x))
(*.f64 (neg.f64 (*.f64 (*.f64 s x) c)) (neg.f64 (*.f64 (*.f64 s x) c)))
(*.f64 (fabs.f64 (*.f64 (*.f64 s x) c)) (fabs.f64 (*.f64 (*.f64 s x) c)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s) c)
(*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 x x) s) c))
(*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))
(*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s))
(pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64))
(*.f64 (*.f64 s (*.f64 (*.f64 s x) c)) x)
(*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s)
(*.f64 s (*.f64 (*.f64 (*.f64 x x) s) c))
(*.f64 (*.f64 (*.f64 x x) s) c)
(*.f64 (*.f64 s c) (*.f64 x x))
(*.f64 (*.f64 (*.f64 s x) c) x)
(*.f64 c (*.f64 (*.f64 x x) s))
(*.f64 x (*.f64 (*.f64 s x) c))
(*.f64 (*.f64 s x) c)
(*.f64 (*.f64 s c) x)
(*.f64 s (*.f64 c x))
(*.f64 c (*.f64 s x))
(*.f64 x (*.f64 s c))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.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)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (* c (* s (* (* (* s c) x) x))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (* s c) x) (*.f64 (*.f64 s x) c))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.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)))
#s(approx (* (* (* c x) (* c x)) (* s s)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (* c x) (* c x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
#s(approx (* c x) (*.f64 c x))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -2) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (pow.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) x))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) x))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) x))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (*.f64 x x) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.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)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* c (* s (* (* (* s c) x) x))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* s (* (* (* s c) x) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
#s(approx (* (* (* s c) x) x) (*.f64 (*.f64 (*.f64 x x) s) c))
#s(approx (* (* s c) x) (*.f64 (*.f64 s x) c))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (cos (* -2 x)) (* (* (* c x) (* c x)) (* s s))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
#s(approx (+ (* (* x x) -2) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) x) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* s s)) x) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* c (* s (* (* (* s c) x) x)))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (* s c) (*.f64 s c))
#s(approx c c)
#s(approx (pow (* s c) -2) (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (* s c) (*.f64 s c))
#s(approx s s)
#s(approx (* s s) (*.f64 s s))

eval25.0ms (0.6%)

Memory
-3.6MiB live, 42.9MiB allocated; 2ms collecting garbage
Compiler

Compiled 5 734 to 626 computations (89.1% saved)

prune52.0ms (1.4%)

Memory
-6.1MiB live, 88.1MiB allocated; 4ms collecting garbage
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New23516251
Fresh71724
Picked415
Done033
Total24637283
Accuracy
100.0%
Counts
283 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.9%
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) s)
94.4%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 s c)) (*.f64 (*.f64 (*.f64 s c) x) x))
92.8%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) s) c)) x)
80.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x)) x)
58.5%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
69.1%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
60.2%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
70.1%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
72.7%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s) c))
92.4%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s x) c) (*.f64 s c)) x))
96.3%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
77.0%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
98.2%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
97.2%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
76.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
89.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c (*.f64 s (*.f64 (*.f64 (*.f64 s x) c) x))))
61.1%
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))
52.9%
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (pow.f64 s #s(literal -2 binary64)) (*.f64 c c))) (*.f64 x x))
54.7%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.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 c s) x) (*.f64 (*.f64 c s) x)))
38.5%
(/.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 s s) c) (*.f64 (*.f64 c x) x)))
34.2%
(/.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 c c) (*.f64 x x)) (*.f64 s s)))
46.7%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s) c))
60.6%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
60.2%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 c s) x)))
44.1%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
59.2%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
48.1%
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 x x) s) c)))
24.1%
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
76.8%
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
61.5%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c x) #s(literal -2 binary64))) (*.f64 s s)))
55.1%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s)))
59.8%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
58.1%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
76.1%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
51.7%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
63.7%
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))))
76.8%
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
Compiler

Compiled 2 365 to 835 computations (64.7% saved)

regimes206.0ms (5.4%)

Memory
-34.8MiB live, 131.4MiB allocated; 86ms collecting garbage
Counts
86 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 x x) s) c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s) c))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.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 c c) (*.f64 x x)) (*.f64 s 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) (*.f64 s s)) (*.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 c c) (*.f64 x x)) (*.f64 s s)))
(/.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 s s) c) (*.f64 (*.f64 c x) x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.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 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (pow.f64 s #s(literal -2 binary64)) (*.f64 c c))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c x) #s(literal -2 binary64))) (*.f64 s s)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
(/.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) (*.f64 s c)) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s) c))
(/.f64 (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) s)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c (*.f64 s (*.f64 (*.f64 (*.f64 s c) x) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c (*.f64 s (*.f64 (*.f64 (*.f64 s x) c) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 c (*.f64 (*.f64 (*.f64 s c) x) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c s) (*.f64 (*.f64 c s) (*.f64 x x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 s x)) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) (*.f64 c x)) (*.f64 c x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) s) (*.f64 c x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) s)) (*.f64 s (*.f64 x x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c (*.f64 s (*.f64 c s))) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s))) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) s) c)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 s c)) (*.f64 (*.f64 (*.f64 s c) x) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (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 c x) #s(literal 2 binary64)) s) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))) s) s)
(/.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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

84.0ms
c
37.0ms
(pow.f64 c #s(literal 2 binary64))
22.0ms
(pow.f64 s #s(literal 2 binary64))
21.0ms
x
21.0ms
s
Results
AccuracySegmentsBranch
98.2%1(pow.f64 s #s(literal 2 binary64))
98.2%1(pow.f64 c #s(literal 2 binary64))
98.2%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)))
98.2%1x
98.2%1c
98.2%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes63.0ms (1.6%)

Memory
0.0MiB live, 98.1MiB allocated; 8ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 x x) s) c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s) c))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.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 c c) (*.f64 x x)) (*.f64 s 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) (*.f64 s s)) (*.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 c c) (*.f64 x x)) (*.f64 s s)))
(/.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 s s) c) (*.f64 (*.f64 c x) x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.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 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (pow.f64 s #s(literal -2 binary64)) (*.f64 c c))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c x) #s(literal -2 binary64))) (*.f64 s s)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
Calls

6 calls:

12.0ms
x
12.0ms
(pow.f64 s #s(literal 2 binary64))
10.0ms
c
10.0ms
s
8.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
97.2%1(pow.f64 s #s(literal 2 binary64))
97.2%1(pow.f64 c #s(literal 2 binary64))
97.2%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)))
97.2%1x
97.2%1c
97.2%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes68.0ms (1.8%)

Memory
19.5MiB live, 107.1MiB allocated; 14ms collecting garbage
Counts
38 → 3
Calls
Call 1
Inputs
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 x x) s) c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s) c))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.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 c c) (*.f64 x x)) (*.f64 s 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) (*.f64 s s)) (*.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 c c) (*.f64 x x)) (*.f64 s s)))
(/.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 s s) c) (*.f64 (*.f64 c x) x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.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 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (pow.f64 s #s(literal -2 binary64)) (*.f64 c c))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c x) #s(literal -2 binary64))) (*.f64 s s)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
Outputs
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
Calls

6 calls:

18.0ms
(pow.f64 c #s(literal 2 binary64))
12.0ms
c
10.0ms
x
10.0ms
s
9.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
79.9%2(pow.f64 s #s(literal 2 binary64))
76.8%1(pow.f64 c #s(literal 2 binary64))
83.8%3(/.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)))
83.8%3x
76.8%1c
79.9%2s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes19.0ms (0.5%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Counts
37 → 2
Calls
Call 1
Inputs
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 x x) s) c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) s) c))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c))
(/.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 c c) (*.f64 x x)) (*.f64 s 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 c c))) (*.f64 s s)) (*.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 c c) (*.f64 x x)) (*.f64 s s)))
(/.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 s s) c) (*.f64 (*.f64 c x) x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.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 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (* (pow (* s x) 2) c) c)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) (*.f64 x x))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
(/.f64 (/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (pow.f64 (*.f64 s c) #s(literal -2 binary64))) x) x)
(/.f64 #s(approx (cos (* -2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* s s)) (/.f64 (pow.f64 s #s(literal -2 binary64)) (*.f64 c c))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s)) s)
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c x) #s(literal -2 binary64))) (*.f64 s s)))
Outputs
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

2 calls:

9.0ms
x
7.0ms
(/.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
80.9%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)))
76.8%1x
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes14.0ms (0.4%)

Memory
-29.6MiB live, 18.1MiB allocated; 1ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 c)) (neg.f64 c)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
Outputs
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

4 calls:

4.0ms
(/.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)))
3.0ms
c
3.0ms
s
3.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
76.8%1c
76.8%1(pow.f64 s #s(literal 2 binary64))
76.8%1s
76.8%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 21 to 23 computations (-9.5% saved)

regimes14.0ms (0.4%)

Memory
20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) (*.f64 s s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) (*.f64 s s)))
Outputs
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
Calls

6 calls:

2.0ms
c
2.0ms
s
2.0ms
x
2.0ms
(pow.f64 s #s(literal 2 binary64))
2.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
76.1%1(pow.f64 s #s(literal 2 binary64))
76.1%1s
76.1%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)))
76.1%1(pow.f64 c #s(literal 2 binary64))
76.1%1x
76.1%1c
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes21.0ms (0.5%)

Memory
-33.9MiB live, 13.7MiB allocated; 16ms collecting garbage
Accuracy

Total -7.7b remaining (-33%)

Threshold costs -7.7b (-33%)

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

6 calls:

14.0ms
(pow.f64 s #s(literal 2 binary64))
1.0ms
s
1.0ms
c
1.0ms
x
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)))
Results
AccuracySegmentsBranch
63.7%1(pow.f64 s #s(literal 2 binary64))
63.7%1s
63.7%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)))
63.7%1(pow.f64 c #s(literal 2 binary64))
63.7%1x
63.7%1c
Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch41.0ms (1.1%)

Memory
43.4MiB live, 43.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.4894050435228363e+146
1.7838855931018593e+149
18.0ms
8.336909568385248e-8
0.05394337910901973
Samples
26.0ms272×0valid
Compiler

Compiled 642 to 470 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 6.0ms (31.7% of total)
ival-mult: 6.0ms (31.7% of total)
ival-pow2: 5.0ms (26.5% of total)
ival-div: 2.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.9733476078340045e-194
-2.9993027542514645e-247
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify48.0ms (1.3%)

Memory
-12.6MiB live, 34.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066234
190234
2148234
3303234
4968234
56880234
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
(if (<=.f64 x #s(literal 5908722711110091/288230376151711744 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) (if (<=.f64 x #s(literal 22499999999999999682369464551029504936227045298182881337307670835860699443565611738941599811583401438878148030014517241281902228431279390950032408576 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))))
(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 -6575169876935467/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 binary64)) (/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))) (/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s (*.f64 c x))))
(if (<=.f64 x #s(literal 5908722711110091/288230376151711744 binary64)) (/.f64 (/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 s x) c)) (*.f64 (*.f64 s x) c)) (if (<=.f64 x #s(literal 22499999999999999682369464551029504936227045298182881337307670835860699443565611738941599811583401438878148030014517241281902228431279390950032408576 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s))) (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))))
(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 -6575169876935467/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 binary64)) (/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))) (/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(/.f64 #s(approx (cos (* -2 x)) #s(approx (+ (* (* x x) -2) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))
(/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c x) (*.f64 (*.f64 c x) (*.f64 s s))))

derivations144.0ms (3.8%)

Memory
-13.6MiB live, 78.1MiB allocated; 6ms collecting garbage
Stop Event
fuel
Compiler

Compiled 234 to 69 computations (70.5% saved)

preprocess43.0ms (1.1%)

Memory
2.2MiB live, 49.6MiB allocated; 9ms collecting garbage
Remove

(sort c s)

(abs s)

(abs c)

(abs x)

Compiler

Compiled 628 to 234 computations (62.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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