mixedcos

Time bar (total: 19.2s)

start0.0ms (0%)

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

analyze154.0ms (0.8%)

Memory
3.9MiB live, 184.9MiB allocated; 35ms collecting garbage
Algorithm
1×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)

sample1.7s (8.8%)

Memory
51.3MiB live, 1 544.0MiB allocated; 960ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 837.0ms
ival-mult: 290.0ms (34.6% of total)
ival-pow2: 278.0ms (33.2% of total)
ival-cos: 188.0ms (22.5% of total)
ival-div: 70.0ms (8.4% of total)
exact: 7.0ms (0.8% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain160.0ms (0.8%)

Memory
7.2MiB live, 243.9MiB allocated; 34ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-1(-1.3162846511530348e+123 3.970766085041468e-158 -3.143712263154991e-16)(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
320-2(-8.521173507087301e+61 2.0762875074942402e+82 -9.717313154207091e-160)(*.f64 x (pow.f64 s #s(literal 2 binary64)))
150-1(4.550493422691652e+274 2.4218488756951697e-220 -2.474824847348389e-294)(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
10-0-(/.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)
0128(9.080219632742528e+172 -7.701103163998352e+211 2.2955658701932996e+117)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))sensitivity1281
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))u*o290
↳(pow.f64 c #s(literal 2 binary64))underflow70
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow71
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow58
↳(pow.f64 s #s(literal 2 binary64))overflow57
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u240
↳(pow.f64 c #s(literal 2 binary64))overflow64
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow70
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow60
↳(pow.f64 s #s(literal 2 binary64))underflow62
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*o160
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*u140
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*o100
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*u70
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*o70
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*u60
/.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/o10
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow71
↳(pow.f64 c #s(literal 2 binary64))overflow64
↳(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))overflow66
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow58
↳(pow.f64 s #s(literal 2 binary64))overflow57
Confusion
Predicted +Predicted -
+990
-8176
Precision
0.55
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+9900
-81175
Precision?
0.5469613259668509
Recall?
1.0
Freqs
test
numberfreq
076
1122
254
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms512×0valid
Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 21.0ms (40.3% of total)
ival-pow2: 16.0ms (30.7% of total)
ival-cos: 11.0ms (21.1% of total)
ival-div: 3.0ms (5.8% 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)

preprocess136.0ms (0.7%)

Memory
20.9MiB live, 115.0MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049169
1152163
2512163
32060163
45322163
01216
02016
14016
210716
339716
4237016
5634516
0803816
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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)

prune2.0ms (0%)

Memory
-45.8MiB live, 0.9MiB allocated; 3ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.6%
(/.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)

series24.0ms (0.1%)

Memory
39.2MiB live, 39.2MiB allocated; 0ms 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
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)
3.0ms
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
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
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)

rewrite140.0ms (0.7%)

Memory
-42.1MiB live, 104.7MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081447
092415
1374351
03114345
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
31 → 113
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 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)))) (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 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) (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 (neg.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 (*.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)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (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))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.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))))))
(sin.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(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))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.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 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.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))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (-.f64 (*.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 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.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 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) s) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x))))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) 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)

eval116.0ms (0.6%)

Memory
44.2MiB live, 90.5MiB allocated; 6ms collecting garbage
Samples
66.0ms707×0valid
4.0ms61×0invalid
Compiler

Compiled 2 262 to 424 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 36.0ms (79.5% of total)
ival-div: 7.0ms (15.5% of total)
ival-true: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

prune44.0ms (0.2%)

Memory
-27.2MiB live, 61.2MiB allocated; 11ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New10316119
Fresh000
Picked101
Done000
Total10416120
Accuracy
99.9%
Counts
120 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.1%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
▶75.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
75.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
84.6%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
95.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal 2 binary64)))
▶97.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
▶75.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
70.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
60.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) x)))
82.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))
84.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
63.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))))
56.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))
63.7%
(-.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))))
▶55.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
48.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
Samples
15.0ms390×0valid
5.0ms122×0invalid
Compiler

Compiled 546 to 410 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (70.9% of total)
ival-div: 3.0ms (30.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.3%)

Memory
-4.7MiB live, 92.1MiB allocated; 16ms collecting garbage
Counts
31 → 68
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
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x))
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
(*.f64 s 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 c c)) x)
(/.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 c c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 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 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(pow.f64 (*.f64 s x) #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)) (* (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 (/ (* (/ 1 c) (/ 1 c)) (* (* s x) (* s x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s 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 c)) x) (* (* 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)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* 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)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ 1 (* (pow c 2) x))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #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))) x)))
#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 (* (* s s) x) #s(hole binary64 (* (pow s 2) 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 (* (pow (* s c) 2) (* x x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (cos (* -2 x)) (pow (* s x) 2)) #s(hole binary64 (/ 1 (* (pow s 2) (pow x 2)))))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))))
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2))))
#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)) (* (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)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) x))))
#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 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 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 x) 2)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow s 2) (pow x 2)))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (/ 1 c) #s(hole binary64 (/ 1 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
11.0ms
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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 c) (/ 1 c)) (* (* s x) (* s x))) (/ 1 c) 1 (* s x) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (* (pow (* s c) 2) (* x x)) (pow (* s c) 2) (* x x) (/ (/ (cos (* -2 x)) (pow (* s x) 2)) (* c c)) (/ (cos (* -2 x)) (pow (* s x) 2)) (pow (* s x) 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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 c) (/ 1 c)) (* (* s x) (* s x))) (/ 1 c) 1 (* s x) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (* (pow (* s c) 2) (* x x)) (pow (* s c) 2) (* x x) (/ (/ (cos (* -2 x)) (pow (* s x) 2)) (* c c)) (/ (cos (* -2 x)) (pow (* s x) 2)) (pow (* s x) 2))
7.0ms
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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 c) (/ 1 c)) (* (* s x) (* s x))) (/ 1 c) 1 (* s x) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (* (pow (* s c) 2) (* x x)) (pow (* s c) 2) (* x x) (/ (/ (cos (* -2 x)) (pow (* s x) 2)) (* c c)) (/ (cos (* -2 x)) (pow (* s x) 2)) (pow (* s x) 2))
5.0ms
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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 c) (/ 1 c)) (* (* s x) (* s x))) (/ 1 c) 1 (* s x) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (* (pow (* s c) 2) (* x x)) (pow (* s c) 2) (* x x) (/ (/ (cos (* -2 x)) (pow (* s x) 2)) (* c c)) (/ (cos (* -2 x)) (pow (* s x) 2)) (pow (* s x) 2))
5.0ms
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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 c) (/ 1 c)) (* (* s x) (* s x))) (/ 1 c) 1 (* s x) (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) (/ (/ (cos (* -2 x)) (* c c)) x) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (* c c) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (* (pow (* s c) 2) (* x x)) (pow (* s c) 2) (* x x) (/ (/ (cos (* -2 x)) (pow (* s x) 2)) (* c c)) (/ (cos (* -2 x)) (pow (* s x) 2)) (pow (* s x) 2))

rewrite228.0ms (1.2%)

Memory
12.5MiB live, 239.6MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02182143
02561859
19011693
077601663
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
99 → 1 013
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
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x))
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
(*.f64 s 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 c c)) x)
(/.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 c c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 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 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(pow.f64 (*.f64 s x) #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)) (* (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 (/ (* (/ 1 c) (/ 1 c)) (* (* s x) (* s x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* s 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 c)) x) (* (* 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)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) x) (* (* 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)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ 1 (* (pow c 2) x))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #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))) x)))
#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 (* (* s s) x) #s(hole binary64 (* (pow s 2) 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 (* (pow (* s c) 2) (* x x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ (cos (* -2 x)) (pow (* s x) 2)) #s(hole binary64 (/ 1 (* (pow s 2) (pow x 2)))))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))))
#s(approx (pow (* s x) 2) #s(hole binary64 (* (pow s 2) (pow x 2))))
#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)) (* (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)) (* c c)) x) (* (* s s) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) x))))
#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 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 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 x) 2)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow s 2) (pow x 2)))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (/ 1 c) #s(hole binary64 (/ 1 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))) (neg.f64 x)) (neg.f64 x))
(/.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)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) x) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (neg.f64 c)) (neg.f64 c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (fabs.f64 c)) (fabs.f64 c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (neg.f64 s) x)) (*.f64 (neg.f64 s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (fabs.f64 (*.f64 s x))) (fabs.f64 (*.f64 s x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))
(/.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)) s) (*.f64 (*.f64 s x) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 c s) #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 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c)) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)))) (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)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 x x) (*.f64 c c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 c) c)) (*.f64 (neg.f64 x) (*.f64 (*.f64 s x) s)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 c) c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 s) s) x))
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) x) (*.f64 (*.f64 s x) s)))
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 (neg.f64 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 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (neg.f64 (*.f64 (*.f64 (neg.f64 s) s) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s x) s))
(/.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 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
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(*.f64 (*.f64 (fabs.f64 s) (neg.f64 x)) (*.f64 (fabs.f64 s) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 s) x) (*.f64 (fabs.f64 s) x))
(*.f64 (*.f64 s (fabs.f64 x)) (*.f64 s (fabs.f64 x)))
(*.f64 (neg.f64 (*.f64 (neg.f64 s) x)) (neg.f64 (*.f64 (neg.f64 s) x)))
(*.f64 (neg.f64 (fabs.f64 (*.f64 s x))) (neg.f64 (fabs.f64 (*.f64 s x))))
(*.f64 (fabs.f64 (fabs.f64 (*.f64 s x))) (fabs.f64 (fabs.f64 (*.f64 s x))))
(*.f64 (exp.f64 (log.f64 (*.f64 s x))) (exp.f64 (log.f64 (*.f64 s x))))
(*.f64 (*.f64 (*.f64 s x) x) s)
(*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 s) s) x))
(*.f64 (*.f64 (neg.f64 s) x) (*.f64 (neg.f64 s) x))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) (*.f64 x x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 s s)))
(*.f64 (fabs.f64 (*.f64 s x)) (fabs.f64 (*.f64 s x)))
(*.f64 (fabs.f64 s) (*.f64 (fabs.f64 s) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 s x) s) x)
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 (*.f64 x x) (*.f64 s s))
(*.f64 (*.f64 s s) (*.f64 x x))
(*.f64 s (*.f64 s (*.f64 x x)))
(*.f64 s (*.f64 (*.f64 s x) x))
(*.f64 x (*.f64 (*.f64 s x) s))
(pow.f64 (exp.f64 (log.f64 (*.f64 s x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 s) x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 s x)) #s(literal 2 binary64))
(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)))
(neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.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 (cosh.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (ratio-of-squares.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) 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 (* s c) 2) (* x x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
#s(approx (* (* s c) x) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (ratio-of-squares.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))))
#s(approx (/ (* (/ 1 c) (/ 1 c)) (* (* s x) (* s x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (* s x) (*.f64 s x))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (ratio-of-squares.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) (/.f64 (pow.f64 c #s(literal -2 binary64)) x))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) (/.f64 (-.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (ratio-of-squares.f64 x c))) x))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 c c)) (*.f64 x x)) (pow.f64 c #s(literal -2 binary64))) x))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (*.f64 c c)) (*.f64 x x)) (*.f64 (pow.f64 c #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 x x)) (pow.f64 c #s(literal -2 binary64))) x))
#s(approx (/ (cos (* -2 x)) (* c c)) (pow.f64 c #s(literal -2 binary64)))
#s(approx (/ (cos (* -2 x)) (* c c)) (-.f64 (pow.f64 c #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (ratio-of-squares.f64 x c))))
#s(approx (/ (cos (* -2 x)) (* c c)) (+.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 c c)) (*.f64 x x)) (pow.f64 c #s(literal -2 binary64))))
#s(approx (/ (cos (* -2 x)) (* c c)) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (*.f64 c c)) (*.f64 x x)) (*.f64 (pow.f64 c #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 x x)) (pow.f64 c #s(literal -2 binary64))))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) 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 (* (* s s) x) (*.f64 (*.f64 s x) s))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (ratio-of-squares.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))))
#s(approx (* (pow (* s c) 2) (* x x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (ratio-of-squares.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64))))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) (/.f64 (-.f64 (pow.f64 s #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (ratio-of-squares.f64 x s))) (*.f64 x x)))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) (+.f64 (pow.f64 (*.f64 s x) #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 s s)) (ratio-of-squares.f64 x x))))
#s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (*.f64 s s)) (*.f64 x x)) (*.f64 (pow.f64 s #s(literal -2 binary64)) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))))
#s(approx (pow (* s x) 2) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (/.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)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (/.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 x))) (/.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)) x) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)))
#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 c) 2) (* x x))) (/.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 x))) (/.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)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (* s c) (*.f64 c s))
#s(approx c c)
#s(approx (/ 1 c) (pow.f64 c #s(literal -1 binary64)))
#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))

eval5.4s (28.1%)

Memory
120.4MiB live, 6 708.6MiB allocated; 1.9s collecting garbage
Samples
3.2s64 870×0valid
812.0ms15 770×0invalid
Compiler

Compiled 19 478 to 2 346 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult: 1.6s (71.3% of total)
ival-div: 524.0ms (24.1% of total)
ival-true: 50.0ms (2.3% of total)
ival-assert: 30.0ms (1.4% of total)
adjust: 22.0ms (1% of total)

prune287.0ms (1.5%)

Memory
-4.6MiB live, 422.7MiB allocated; 31ms collecting garbage
Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New85731888
Fresh10111
Picked415
Done000
Total87133904
Accuracy
100.0%
Counts
904 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
90.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
95.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x))
90.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
72.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) (*.f64 x x)))
95.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (neg.f64 s) x) c) (*.f64 (*.f64 (neg.f64 s) x) c)))
▶63.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))))
97.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
76.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x))))
73.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 (*.f64 s x) x) (*.f64 c c))))
92.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 c s) x))))
66.2%
(/.f64 #s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (*.f64 c c))
59.1%
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
49.2%
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
74.7%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
63.2%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
57.3%
(-.f64 (ratio-of-squares.f64 (cos.f64 x) (*.f64 (*.f64 c s) x)) (ratio-of-squares.f64 (sin.f64 x) (*.f64 (*.f64 c s) x)))
74.7%
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
32.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (pow.f64 (*.f64 c c) #s(literal -1/2 binary64)) (*.f64 s x)))
66.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
71.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
▶66.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
✓55.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
56.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
▶68.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
74.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
55.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 s x))) c))
66.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) s)) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
▶53.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s))))
75.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
72.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) x))))
68.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
74.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x))))
Samples
132.0ms3 329×0valid
54.0ms1 023×0invalid
Compiler

Compiled 1 438 to 993 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 56.0ms (65.3% of total)
ival-div: 24.0ms (28% of total)
ival-true: 3.0ms (3.5% of total)
ival-assert: 2.0ms (2.3% of total)
adjust: 1.0ms (1.2% of total)

series92.0ms (0.5%)

Memory
-37.8MiB live, 110.6MiB allocated; 50ms collecting garbage
Counts
34 → 52
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) 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 c s) x)
(*.f64 c s)
c
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)
(/.f64 #s(literal 1 binary64) (*.f64 c s))
#s(literal 1 binary64)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s)))
(/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x))
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)
(*.f64 x x)
(/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s))
(*.f64 s s)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
(/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x)
(/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal -2 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))
(*.f64 (*.f64 s s) x)
(*.f64 x (*.f64 c c))
(*.f64 c c)
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)) (* (* c s) x)) #s(hole binary64 (/ 1 (* c (* s x)))))
#s(approx (/ (cos (* -2 x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)))
#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) #s(hole binary64 (* c (* s x))))
#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 (/ (* (/ 1 (* c s)) (/ 1 (* c s))) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* (/ (/ -1 c) (* x x)) (/ (/ -1 c) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ -1 c) (* x x)) #s(hole binary64 (/ -1 (* c (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (pow (* c s) -2) x) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (pow (* c s) -2) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* 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)) (* (* (* s s) x) (* x (* 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)) (* (* (* s s) x) (* x (* 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 (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 (* (* (* s s) x) (* x (* c c))) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s s) x) #s(hole binary64 (* (pow s 2) x)))
#s(approx (* x (* c c)) #s(hole binary64 (* (pow c 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)) (* (* c s) x)) #s(hole binary64 (/ (cos (* -2 x)) (* c (* s x)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -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 s) x) (* x (* c c)))) #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 (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (/ 1 (* c s)) #s(hole binary64 (/ 1 (* c s))))
#s(approx (/ -1 c) #s(hole binary64 (/ -1 c)))
#s(approx (/ (/ -1 c) (* s s)) #s(hole binary64 (/ -1 (* c (pow s 2)))))
#s(approx (pow (* c s) -2) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))
Calls

9 calls:

TimeVariablePointExpression
33.0ms
s
@0
((/ (/ (cos (* -2 x)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* -2 x)) (* (* c s) x)) (cos (* -2 x)) (* -2 x) -2 x (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* c s)) (/ 1 (* c s))) (* x x)) (/ 1 (* c s)) 1 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* x x)) (/ (/ -1 c) (* s s))) (/ (/ -1 c) (* x x)) (/ -1 c) -1 (* x x) (/ (/ -1 c) (* s s)) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow (* c s) -2) x) x) (/ (pow (* c s) -2) x) (pow (* c s) -2) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) 2 (* (* (* s s) x) (* x (* c c))) (* (* s s) x) (* x (* c c)) (* c c))
14.0ms
c
@-inf
((/ (/ (cos (* -2 x)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* -2 x)) (* (* c s) x)) (cos (* -2 x)) (* -2 x) -2 x (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* c s)) (/ 1 (* c s))) (* x x)) (/ 1 (* c s)) 1 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* x x)) (/ (/ -1 c) (* s s))) (/ (/ -1 c) (* x x)) (/ -1 c) -1 (* x x) (/ (/ -1 c) (* s s)) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow (* c s) -2) x) x) (/ (pow (* c s) -2) x) (pow (* c s) -2) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) 2 (* (* (* s s) x) (* x (* c c))) (* (* s s) x) (* x (* c c)) (* c c))
10.0ms
c
@0
((/ (/ (cos (* -2 x)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* -2 x)) (* (* c s) x)) (cos (* -2 x)) (* -2 x) -2 x (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* c s)) (/ 1 (* c s))) (* x x)) (/ 1 (* c s)) 1 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* x x)) (/ (/ -1 c) (* s s))) (/ (/ -1 c) (* x x)) (/ -1 c) -1 (* x x) (/ (/ -1 c) (* s s)) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow (* c s) -2) x) x) (/ (pow (* c s) -2) x) (pow (* c s) -2) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) 2 (* (* (* s s) x) (* x (* c c))) (* (* s s) x) (* x (* c c)) (* c c))
7.0ms
c
@inf
((/ (/ (cos (* -2 x)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* -2 x)) (* (* c s) x)) (cos (* -2 x)) (* -2 x) -2 x (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* c s)) (/ 1 (* c s))) (* x x)) (/ 1 (* c s)) 1 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* x x)) (/ (/ -1 c) (* s s))) (/ (/ -1 c) (* x x)) (/ -1 c) -1 (* x x) (/ (/ -1 c) (* s s)) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow (* c s) -2) x) x) (/ (pow (* c s) -2) x) (pow (* c s) -2) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) 2 (* (* (* s s) x) (* x (* c c))) (* (* s s) x) (* x (* c c)) (* c c))
6.0ms
s
@-inf
((/ (/ (cos (* -2 x)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* -2 x)) (* (* c s) x)) (cos (* -2 x)) (* -2 x) -2 x (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* c s)) (/ 1 (* c s))) (* x x)) (/ 1 (* c s)) 1 (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* x x)) (/ (/ -1 c) (* s s))) (/ (/ -1 c) (* x x)) (/ -1 c) -1 (* x x) (/ (/ -1 c) (* s s)) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (pow (* c s) -2) x) x) (/ (pow (* c s) -2) x) (pow (* c s) -2) (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (cos (* 2 x)) (* 2 x) 2 (* (* (* s s) x) (* x (* c c))) (* (* s s) x) (* x (* c c)) (* c c))

rewrite187.0ms (1%)

Memory
-3.2MiB live, 187.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871536
02291376
17721202
061501190
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
86 → 1 281
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) 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 c s) x)
(*.f64 c s)
c
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)
(/.f64 #s(literal 1 binary64) (*.f64 c s))
#s(literal 1 binary64)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s)))
(/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x))
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)
(*.f64 x x)
(/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s))
(*.f64 s s)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
(/.f64 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x)
(/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal -2 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c)))
(*.f64 (*.f64 s s) x)
(*.f64 x (*.f64 c c))
(*.f64 c c)
#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)) (* (* c s) x)) #s(hole binary64 (/ 1 (* c (* s x)))))
#s(approx (/ (cos (* -2 x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)))
#s(approx (/ (cos (* -2 x)) (* (* c s) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)))
#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) #s(hole binary64 (* c (* s x))))
#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 (/ (* (/ 1 (* c s)) (/ 1 (* c s))) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* (/ (/ -1 c) (* x x)) (/ (/ -1 c) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ -1 c) (* x x)) #s(hole binary64 (/ -1 (* c (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (pow (* c s) -2) x) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (pow (* c s) -2) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* 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)) (* (* (* s s) x) (* x (* 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)) (* (* (* s s) x) (* x (* 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 (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 (* (* (* s s) x) (* x (* c c))) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s s) x) #s(hole binary64 (* (pow s 2) x)))
#s(approx (* x (* c c)) #s(hole binary64 (* (pow c 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)) (* (* c s) x)) #s(hole binary64 (/ (cos (* -2 x)) (* c (* s x)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -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 s) x) (* x (* c c)))) #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 (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (/ 1 (* c s)) #s(hole binary64 (/ 1 (* c s))))
#s(approx (/ -1 c) #s(hole binary64 (/ -1 c)))
#s(approx (/ (/ -1 c) (* s s)) #s(hole binary64 (/ -1 (* c (pow s 2)))))
#s(approx (pow (* c s) -2) #s(hole binary64 (/ 1 (* (pow c 2) (pow s 2)))))
#s(approx (* c c) #s(hole binary64 (pow c 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))) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 s s) x)) (*.f64 c x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 s s) x)) x) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) 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))) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s x)) c) (*.f64 s x)) c)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s x)) c) c) (*.f64 s x))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s x)) c) x) (*.f64 s c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c c)) (*.f64 x x)) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c c)) (*.f64 s s)) (*.f64 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))) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 s s) x))) (neg.f64 (*.f64 (*.f64 c c) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s c)) (*.f64 (*.f64 c x) s))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) c) (*.f64 (*.f64 s x) (*.f64 (*.f64 c x) s)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s c)) (*.f64 (*.f64 c x) s)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 s s) x)) (*.f64 (*.f64 c c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s c)) (*.f64 x (*.f64 (*.f64 c x) s)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 s) c) x)) (*.f64 (*.f64 (neg.f64 s) c) x))
(/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 (neg.f64 s) c) x) (*.f64 (*.f64 c x) s)))
(/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal -2 binary64)))) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s x)) c) (neg.f64 (*.f64 (*.f64 (neg.f64 s) c) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s x)) c) (*.f64 (*.f64 c x) s))
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 s) c) x)) (*.f64 (*.f64 c x) s)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal -2 binary64)))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s x)) c) (*.f64 (*.f64 (neg.f64 s) c) x)))
(neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))))
(-.f64 (ratio-of-squares.f64 (cos.f64 x) (*.f64 (*.f64 c x) s)) (ratio-of-squares.f64 (sin.f64 x) (*.f64 (*.f64 c x) s)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) x) (*.f64 s c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) c) x) s)
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s x)) c)
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) c)) (neg.f64 (*.f64 s x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s c))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 (neg.f64 s) c) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) c) (*.f64 s x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s c)) x)
(/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 (neg.f64 s) c) x))
(/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 c x) s))
(neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 s) c) x)))
(*.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)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (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))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.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))))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #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 x #s(literal -2 binary64))) (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 (neg.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(neg.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (neg.f64 x) (neg.f64 x))
#s(literal -2 binary64)
x
(*.f64 (*.f64 c x) s)
(*.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
#s(approx (/ (cos (* 2 x)) (* (* (* s s) x) (* x (* c c)))) (ratio-of-squares.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (fabs.f64 x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
(*.f64 (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) (neg.f64 x)) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) (fabs.f64 x)) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
(*.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) (neg.f64 x)) (/.f64 (pow.f64 s #s(literal -2 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) (fabs.f64 x)) (/.f64 (pow.f64 s #s(literal -2 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x) (/.f64 (pow.f64 s #s(literal -2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (fabs.f64 x)) (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (pow.f64 c #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (fabs.f64 x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) (neg.f64 s)) (pow.f64 (*.f64 s c) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) (fabs.f64 s)) (/.f64 (/.f64 #s(literal -1 binary64) c) (fabs.f64 s)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) s) (/.f64 (/.f64 #s(literal -1 binary64) c) s))
(*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) x)))
(*.f64 (fabs.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) x)) (fabs.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal -2 binary64)))
(*.f64 (ratio-of-squares.f64 (pow.f64 (*.f64 s c) #s(literal -1/2 binary64)) x) (pow.f64 (*.f64 s c) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) x))
(*.f64 (pow.f64 c #s(literal -2 binary64)) (ratio-of-squares.f64 (pow.f64 s #s(literal -1 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 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
(*.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c))
(*.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) (ratio-of-squares.f64 (pow.f64 (*.f64 s c) #s(literal -1/2 binary64)) x))
(*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (/.f64 #s(literal -1 binary64) c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) x))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 x)))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (fabs.f64 x)))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fabs.f64 (fabs.f64 x)))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (exp.f64 (log.f64 x)))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fabs.f64 x))
(ratio-of-squares.f64 (pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 c)) (*.f64 (neg.f64 x) (neg.f64 s)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 c)) (*.f64 (neg.f64 x) (fabs.f64 s)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 c)) (*.f64 (neg.f64 x) s))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 c)) (*.f64 (fabs.f64 x) (neg.f64 s)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 c)) (*.f64 (fabs.f64 x) (fabs.f64 s)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 c)) (*.f64 (fabs.f64 x) s))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 c)) (*.f64 x (neg.f64 s)))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 c)) (*.f64 x (fabs.f64 s)))
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#s(approx (/ -1 c) (/.f64 #s(literal -1 binary64) c))
#s(approx (/ (/ -1 c) (* s s)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c))
#s(approx (pow (* c s) -2) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s))
#s(approx (* c c) (*.f64 c c))
#s(approx s s)
#s(approx (* s s) (*.f64 s s))

eval2.7s (14.3%)

Memory
73.6MiB live, 3 606.5MiB allocated; 346ms collecting garbage
Samples
1.6s40 256×0valid
341.0ms8 128×0invalid
Compiler

Compiled 20 905 to 2 496 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 999.0ms
ival-mult: 662.0ms (66.3% of total)
ival-div: 277.0ms (27.7% of total)
ival-true: 29.0ms (2.9% of total)
ival-assert: 18.0ms (1.8% of total)
adjust: 13.0ms (1.3% of total)

prune477.0ms (2.5%)

Memory
4.4MiB live, 774.7MiB allocated; 65ms collecting garbage
Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New76527792
Fresh141327
Picked325
Done011
Total78243825
Accuracy
100.0%
Counts
825 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.6%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s c)) (*.f64 x (*.f64 (*.f64 c x) s)))
91.1%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) c) (*.f64 (*.f64 s x) (*.f64 (*.f64 c x) s)))
✓97.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
57.9%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
74.7%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
63.4%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))))
91.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c))
91.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) (*.f64 s x)))
95.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x))
72.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) (*.f64 x x)))
▶97.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
76.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x))))
66.2%
(/.f64 #s(approx (/ (cos (* -2 x)) (pow (* s x) 2)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (*.f64 c c))
32.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (pow.f64 (*.f64 c c) #s(literal -1/2 binary64)) (*.f64 s x)))
66.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
66.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
▶71.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
✓66.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
✓55.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
51.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
56.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
63.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
68.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (pow.f64 s #s(literal -1 binary64)) c) x) x))
64.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
68.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
52.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x))
53.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (*.f64 (*.f64 (neg.f64 x) x) c)))
53.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s s))))
58.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) #s(literal -1 binary64)) (*.f64 (*.f64 s c) s)))
56.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 s s) x)))
64.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 s c) s))))
65.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 (*.f64 s c) #s(literal -1/2 binary64)) x)) (*.f64 s c)))
55.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 s x))) c))
74.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
58.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
▶53.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
62.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
74.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x)))
59.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) s)))
53.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 s) s) c))))
▶75.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
▶68.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
74.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x))))
Samples
270.0ms6 818×0valid
38.0ms862×0invalid
Compiler

Compiled 2 086 to 1 416 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-mult: 97.0ms (64% of total)
ival-div: 45.0ms (29.7% of total)
ival-true: 5.0ms (3.3% of total)
ival-assert: 3.0ms (2% of total)
adjust: 2.0ms (1.3% of total)

series54.0ms (0.3%)

Memory
-40.1MiB live, 108.6MiB allocated; 17ms collecting garbage
Counts
34 → 40
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
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c)
(/.f64 #s(literal 1 binary64) (*.f64 s x))
#s(literal 1 binary64)
(*.f64 s x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c)))
#s(literal -1 binary64)
(*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))
(*.f64 (*.f64 (neg.f64 s) s) c)
(*.f64 (neg.f64 s) s)
(neg.f64 s)
(*.f64 (*.f64 x x) c)
(*.f64 x x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)))
(/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))
(/.f64 #s(literal -1 binary64) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
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)) (* (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 (/ (* (/ 1 (* s x)) (/ 1 (* s x))) (* c c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ 1 (* s x)) #s(hole binary64 (/ 1 (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ -1 (* (* (* (neg s) s) c) (* (* x x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* (* (* (neg s) s) c) (* (* x x) c)) #s(hole binary64 (* -1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* (* x x) c) #s(hole binary64 (* c (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ -1 c) (* s x)) #s(hole binary64 (/ -1 (* c (* s x)))))
#s(approx (* (/ 1 (* (pow (* c s) 2) x)) (/ 1 x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ 1 (* (pow (* c s) 2) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (* (pow (* c s) 2) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 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)) (* (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 (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* (* (neg s) s) c) #s(hole binary64 (* -1 (* c (pow s 2)))))
#s(approx (/ -1 c) #s(hole binary64 (/ -1 c)))
#s(approx (pow (* c s) 2) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx s #s(hole binary64 s))
#s(approx (* (neg s) s) #s(hole binary64 (* -1 (pow s 2))))
#s(approx (neg s) #s(hole binary64 (* -1 s)))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* s x)) (/ 1 (* s x))) (* c c)) (/ 1 (* s x)) 1 (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* (* (neg s) s) c) (* (* x x) c))) -1 (* (* (* (neg s) s) c) (* (* x x) c)) (* (* (neg s) s) c) (* (neg s) s) (neg s) (* (* x x) c) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) (/ (/ -1 c) (* s x)) (/ -1 c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c s) 2) x)) (/ 1 x)) (/ 1 (* (pow (* c s) 2) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (/ 1 x))
8.0ms
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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* s x)) (/ 1 (* s x))) (* c c)) (/ 1 (* s x)) 1 (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* (* (neg s) s) c) (* (* x x) c))) -1 (* (* (* (neg s) s) c) (* (* x x) c)) (* (* (neg s) s) c) (* (neg s) s) (neg s) (* (* x x) c) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) (/ (/ -1 c) (* s x)) (/ -1 c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c s) 2) x)) (/ 1 x)) (/ 1 (* (pow (* c s) 2) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (/ 1 x))
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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* s x)) (/ 1 (* s x))) (* c c)) (/ 1 (* s x)) 1 (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* (* (neg s) s) c) (* (* x x) c))) -1 (* (* (* (neg s) s) c) (* (* x x) c)) (* (* (neg s) s) c) (* (neg s) s) (neg s) (* (* x x) c) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) (/ (/ -1 c) (* s x)) (/ -1 c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c s) 2) x)) (/ 1 x)) (/ 1 (* (pow (* c s) 2) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (/ 1 x))
6.0ms
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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* s x)) (/ 1 (* s x))) (* c c)) (/ 1 (* s x)) 1 (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* (* (neg s) s) c) (* (* x x) c))) -1 (* (* (* (neg s) s) c) (* (* x x) c)) (* (* (neg s) s) c) (* (neg s) s) (neg s) (* (* x x) c) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) (/ (/ -1 c) (* s x)) (/ -1 c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c s) 2) x)) (/ 1 x)) (/ 1 (* (pow (* c s) 2) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (/ 1 x))
5.0ms
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)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (* (/ 1 (* s x)) (/ 1 (* s x))) (* c c)) (/ 1 (* s x)) 1 (* s x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ -1 (* (* (* (neg s) s) c) (* (* x x) c))) -1 (* (* (* (neg s) s) c) (* (* x x) c)) (* (* (neg s) s) c) (* (neg s) s) (neg s) (* (* x x) c) (* x x) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) (/ (/ -1 c) (* s x)) (/ -1 c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (/ 1 (* (pow (* c s) 2) x)) (/ 1 x)) (/ 1 (* (pow (* c s) 2) x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (/ 1 x))

rewrite186.0ms (1%)

Memory
28.2MiB live, 209.6MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571177
0196956
1622878
04534870
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
74 → 1 365
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
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
(ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c)
(/.f64 #s(literal 1 binary64) (*.f64 s x))
#s(literal 1 binary64)
(*.f64 s x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c)))
#s(literal -1 binary64)
(*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))
(*.f64 (*.f64 (neg.f64 s) s) c)
(*.f64 (neg.f64 s) s)
(neg.f64 s)
(*.f64 (*.f64 x x) c)
(*.f64 x x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)))
(/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))
(/.f64 #s(literal -1 binary64) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) 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 (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)) (* (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 (/ (* (/ 1 (* s x)) (/ 1 (* s x))) (* c c)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ 1 (* s x)) #s(hole binary64 (/ 1 (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ -1 (* (* (* (neg s) s) c) (* (* x x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* (* (* (neg s) s) c) (* (* x x) c)) #s(hole binary64 (* -1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (* (* x x) c) #s(hole binary64 (* c (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ -1 c) (* s x)) #s(hole binary64 (/ -1 (* c (* s x)))))
#s(approx (* (/ 1 (* (pow (* c s) 2) x)) (/ 1 x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ 1 (* (pow (* c s) 2) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (* (pow (* c s) 2) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 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)) (* (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 (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* (* (neg s) s) c) #s(hole binary64 (* -1 (* c (pow s 2)))))
#s(approx (/ -1 c) #s(hole binary64 (/ -1 c)))
#s(approx (pow (* c s) 2) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx s #s(hole binary64 s))
#s(approx (* (neg s) s) #s(hole binary64 (* -1 (pow s 2))))
#s(approx (neg s) #s(hole binary64 (* -1 s)))
Outputs
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) c) (*.f64 s x)) c)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) c) (*.f64 s c)) x)
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) c) c) (*.f64 s x))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) c) x) (*.f64 s c))
(/.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 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (neg.f64 x) s) c)) (*.f64 (*.f64 (neg.f64 x) s) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (fabs.f64 (*.f64 (*.f64 c x) s))) (fabs.f64 (*.f64 (*.f64 c x) s)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 (*.f64 x (*.f64 s x)) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) s)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s x) 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)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) c)) (*.f64 (*.f64 (neg.f64 x) s) 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 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s x)) c) (*.f64 (*.f64 c x) s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))))
(-.f64 (ratio-of-squares.f64 (cos.f64 x) (*.f64 (*.f64 c x) s)) (ratio-of-squares.f64 (sin.f64 x) (*.f64 (*.f64 c x) s)))
(*.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)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (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))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (*.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))))))
(sin.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(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))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.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 c) #s(literal 2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (neg.f64 c)) (neg.f64 c))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (fabs.f64 c)) (fabs.f64 c))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s x) s))
(*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x) x)) c)
(*.f64 (neg.f64 (*.f64 (neg.f64 s) s)) (*.f64 (*.f64 (*.f64 x x) c) c))
(*.f64 (*.f64 (*.f64 s c) (fabs.f64 x)) (*.f64 (*.f64 s c) (fabs.f64 x)))
(*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 s) s) c)) (*.f64 (*.f64 x x) c))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) c)) (*.f64 (*.f64 (neg.f64 s) s) c))
(*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c)
(*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) (*.f64 s x))
(*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) s) c)) (neg.f64 (*.f64 (*.f64 (neg.f64 x) s) c)))
(*.f64 (neg.f64 (fabs.f64 (*.f64 (*.f64 c x) s))) (neg.f64 (fabs.f64 (*.f64 (*.f64 c x) s))))
(*.f64 (fabs.f64 (fabs.f64 (*.f64 (*.f64 c x) s))) (fabs.f64 (fabs.f64 (*.f64 (*.f64 c x) s))))
(*.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) (*.f64 s s))
(*.f64 (*.f64 (*.f64 x (*.f64 s x)) c) (*.f64 s c))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) x) x) (neg.f64 c))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (*.f64 (*.f64 (neg.f64 x) s) c))
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (*.f64 (*.f64 c x) s)) (fabs.f64 (*.f64 (*.f64 c x) s)))
(*.f64 (fabs.f64 c) (*.f64 (fabs.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 s x) s) (*.f64 (*.f64 c c) x))
(*.f64 (*.f64 (*.f64 s x) s) (*.f64 x (*.f64 c c)))
(*.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 (*.f64 (*.f64 x x) c) (neg.f64 (*.f64 (*.f64 (neg.f64 s) s) c)))
(*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (neg.f64 (*.f64 (*.f64 x x) c)))
(*.f64 (*.f64 (neg.f64 s) s) (neg.f64 (*.f64 (*.f64 (*.f64 x x) c) c)))
(*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c x) s)))
(*.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 s c) (*.f64 (*.f64 s c) (*.f64 x x)))
(*.f64 (*.f64 s c) (*.f64 (*.f64 x (*.f64 s x)) c))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c)))
(*.f64 (*.f64 s s) (*.f64 (*.f64 (*.f64 x x) c) c))
(*.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))
(*.f64 s (*.f64 c (*.f64 (*.f64 x (*.f64 s x)) c)))
(*.f64 c (*.f64 s (*.f64 (*.f64 x (*.f64 s x)) c)))
(*.f64 c (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 c (*.f64 (*.f64 s x) (*.f64 (*.f64 c x) s)))
(*.f64 x (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (*.f64 (*.f64 (neg.f64 x) s) c) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 (*.f64 c x) s)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))
(neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 s c)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c x) s)) #s(literal 2 binary64)))
(*.f64 (*.f64 c x) s)
(*.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 (pow.f64 (*.f64 s c) #s(literal 1/2 binary64)) (pow.f64 (*.f64 s c) #s(literal 1/2 binary64)))
(*.f64 s c)
(*.f64 c s)
(pow.f64 (*.f64 s c) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s c) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 s c)) #s(literal 1 binary64)))
c
s
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(*.f64 (*.f64 (*.f64 c c) s) s)
(*.f64 (*.f64 s (neg.f64 c)) (*.f64 s (neg.f64 c)))
(*.f64 (*.f64 s (fabs.f64 c)) (*.f64 s (fabs.f64 c)))
(*.f64 (*.f64 (neg.f64 c) s) (*.f64 (neg.f64 c) s))
(*.f64 (*.f64 (fabs.f64 c) s) (*.f64 (fabs.f64 c) s))
(*.f64 (neg.f64 (*.f64 s c)) (neg.f64 (*.f64 s c)))
(*.f64 (fabs.f64 (*.f64 s c)) (fabs.f64 (*.f64 s c)))
(*.f64 (exp.f64 (log.f64 (*.f64 s c))) (exp.f64 (log.f64 (*.f64 s c))))
(*.f64 (neg.f64 c) (*.f64 (*.f64 (neg.f64 s) s) c))
(*.f64 (fabs.f64 c) (*.f64 (fabs.f64 c) (*.f64 s s)))
(*.f64 (*.f64 (*.f64 s c) s) c)
(*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (neg.f64 c))
(*.f64 (*.f64 s c) (*.f64 s c))
(*.f64 (*.f64 s s) (*.f64 c c))
(*.f64 (*.f64 c c) (*.f64 s s))
(*.f64 s (*.f64 c (*.f64 s c)))
(*.f64 s (*.f64 s (*.f64 c c)))
(*.f64 c (*.f64 (*.f64 s c) s))
(pow.f64 (exp.f64 (log.f64 (*.f64 s c))) #s(literal 2 binary64))
(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 (+.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)) (*.f64 (log.f64 c) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 s c)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 s c)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 s c)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (-.f64 (*.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 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.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))) (ratio-of-squares.f64 x x))))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -1 binary64)))
#s(approx (cos (* 2 x)) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) 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 (* (* (* c s) x) (* (* c s) x)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
#s(approx (* (* c s) x) (*.f64 (*.f64 c x) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (-.f64 (*.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 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (ratio-of-squares.f64 x x)) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.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))) (ratio-of-squares.f64 x x))))
#s(approx (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))
#s(approx (/ 1 (* s x)) (pow.f64 (*.f64 s x) #s(literal -1 binary64)))
#s(approx (* s x) (*.f64 s x))
#s(approx (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))
#s(approx (* (* (* (neg s) s) c) (* (* x x) c)) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
#s(approx (* (* x x) c) (*.f64 (*.f64 x x) c))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))
#s(approx (/ (/ -1 c) (* s x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)))
#s(approx (* (/ (/ -1 c) (* s x)) (/ (/ -1 c) (* s x))) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))
#s(approx (/ 1 (* (pow (* c s) 2) x)) (/.f64 (pow.f64 (*.f64 s c) #s(literal -2 binary64)) x))
#s(approx (* (pow (* c s) 2) x) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#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 c x) s) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) 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 c x) s) #s(literal 2 binary64))))
#s(approx (* c s) (*.f64 s c))
#s(approx c c)
#s(approx (* (* (neg s) s) c) (*.f64 (*.f64 (neg.f64 s) s) c))
#s(approx (/ -1 c) (/.f64 #s(literal -1 binary64) c))
#s(approx (pow (* c s) 2) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
#s(approx s s)
#s(approx (* (neg s) s) (*.f64 (neg.f64 s) s))
#s(approx (neg s) (neg.f64 s))

eval2.4s (12.3%)

Memory
95.3MiB live, 2 655.3MiB allocated; 663ms collecting garbage
Samples
1.6s29 801×0valid
181.0ms4 503×0invalid
Compiler

Compiled 20 846 to 2 344 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 938.0ms
ival-mult: 603.0ms (64.3% of total)
ival-div: 292.0ms (31.1% of total)
ival-true: 21.0ms (2.2% of total)
ival-assert: 12.0ms (1.3% of total)
adjust: 9.0ms (1% of total)

prune549.0ms (2.9%)

Memory
4.6MiB live, 662.0MiB allocated; 104ms collecting garbage
Pruning

50 alts after pruning (45 fresh and 5 done)

PrunedKeptTotal
New72324747
Fresh142135
Picked325
Done033
Total74050790
Accuracy
100.0%
Counts
790 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) c) (*.f64 (*.f64 s x) (*.f64 (*.f64 c x) s)))
✓97.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
57.9%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
74.7%
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
63.4%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 x (*.f64 c c))))
97.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
91.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)))
91.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c))
91.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) (*.f64 s x)))
72.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) (*.f64 x x)))
76.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x))))
80.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x))))
59.1%
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
74.7%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
66.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
66.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
✓71.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
✓66.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
✓55.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
51.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
56.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
63.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
64.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
68.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
65.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 (neg.f64 x) s) (*.f64 s x))))
55.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 s x))) c))
70.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (fabs.f64 (*.f64 (*.f64 c x) s))))
58.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
53.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c) (*.f64 x x))))
74.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (*.f64 (*.f64 c x) s))))
48.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x)) (*.f64 s s))))
74.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 (*.f64 c x) s) #s(literal -1 binary64)))))
72.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) (neg.f64 (*.f64 (*.f64 x (*.f64 s x)) c)))))
60.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 s (*.f64 (*.f64 (*.f64 x x) c) c)))))
58.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 (neg.f64 s) s) c)))))
62.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
73.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) x) (/.f64 (/.f64 #s(literal -1 binary64) c) s)))
70.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) s) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
74.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x)))
59.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) s)))
53.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 s) s) c))))
✓75.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
74.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s))))
66.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) c) c)) (/.f64 #s(literal 1 binary64) x)))
64.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x)) (/.f64 #s(literal 1 binary64) x)))
60.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) s) (*.f64 c c))) (/.f64 #s(literal 1 binary64) x)))
71.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (*.f64 c (*.f64 s c)))) (/.f64 #s(literal 1 binary64) x)))
74.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x))))
67.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (*.f64 c c))))
71.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))))
Samples
323.0ms7 174×0valid
40.0ms1 018×0invalid
Compiler

Compiled 3 683 to 1 268 computations (65.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-mult: 114.0ms (66.7% of total)
ival-div: 46.0ms (26.9% of total)
ival-true: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.8% of total)
adjust: 2.0ms (1.2% of total)

regimes511.0ms (2.7%)

Memory
-178.8MiB live, 180.4MiB allocated; 787ms collecting garbage
Counts
99 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 (neg.f64 s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 s (*.f64 (*.f64 (*.f64 x x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) (neg.f64 (*.f64 (*.f64 x (*.f64 s x)) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 (*.f64 c x) s) #s(literal -1 binary64)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (*.f64 c (*.f64 s c)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) s) (*.f64 c c))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) c) c)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (*.f64 (*.f64 (neg.f64 x) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (fabs.f64 (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (*.f64 c c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) #s(literal -1 binary64)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 s) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 (neg.f64 x) s) (*.f64 s x))))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) s)) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 s s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) s) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) x) (/.f64 (/.f64 #s(literal -1 binary64) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (pow.f64 (*.f64 c c) #s(literal -1/2 binary64)) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(/.f64 #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)) (pow (* s x) 2)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (*.f64 c c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 s x))) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (pow.f64 s #s(literal -1 binary64)) c) x) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (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 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 (*.f64 s c) #s(literal -1/2 binary64)) x)) (*.f64 s c)))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) 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) x) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 c s) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 (*.f64 s x) x) (*.f64 c c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c 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 s s) x) (*.f64 x (*.f64 c c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (neg.f64 s) x) c) (*.f64 (*.f64 (neg.f64 s) x) c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (-.f64 (*.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 s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) c) (*.f64 (*.f64 s x) (*.f64 (*.f64 c x) s)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 s c)) (*.f64 x (*.f64 (*.f64 c x) s)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.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 (ratio-of-squares.f64 (cos.f64 x) (*.f64 (*.f64 c s) x)) (ratio-of-squares.f64 (sin.f64 x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 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 (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 c) #s(literal 2 binary64))) (*.f64 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 (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 (*.f64 x (exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) x)))
(-.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 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
Calls

6 calls:

365.0ms
(pow.f64 s #s(literal 2 binary64))
54.0ms
s
25.0ms
x
23.0ms
c
20.0ms
(/.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
97.4%1(pow.f64 s #s(literal 2 binary64))
97.4%1(pow.f64 c #s(literal 2 binary64))
97.4%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)))
97.4%1x
97.4%1c
97.4%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes122.0ms (0.6%)

Memory
2.8MiB live, 154.3MiB allocated; 20ms collecting garbage
Counts
82 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 (neg.f64 s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 s (*.f64 (*.f64 (*.f64 x x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) (neg.f64 (*.f64 (*.f64 x (*.f64 s x)) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 (*.f64 c x) s) #s(literal -1 binary64)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (*.f64 c (*.f64 s c)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) s) (*.f64 c c))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) c) c)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (*.f64 (*.f64 (neg.f64 x) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (fabs.f64 (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (*.f64 c c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) #s(literal -1 binary64)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 s) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 (neg.f64 x) s) (*.f64 s x))))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) s)) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 s s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) s) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) x) (/.f64 (/.f64 #s(literal -1 binary64) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (pow.f64 (*.f64 c c) #s(literal -1/2 binary64)) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(/.f64 #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)) (pow (* s x) 2)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (*.f64 c c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 s x))) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (pow.f64 s #s(literal -1 binary64)) c) x) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (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 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 (*.f64 s c) #s(literal -1/2 binary64)) x)) (*.f64 s c)))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) 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) x) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 c s) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 (*.f64 s x) x) (*.f64 c c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c 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 s s) x) (*.f64 x (*.f64 c c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (neg.f64 s) x) c) (*.f64 (*.f64 (neg.f64 s) x) c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (neg.f64 s) x) c) (*.f64 (*.f64 (neg.f64 s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

23.0ms
(/.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)))
21.0ms
s
19.0ms
x
19.0ms
c
18.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
97.1%1s
97.1%1(pow.f64 s #s(literal 2 binary64))
97.1%1(pow.f64 c #s(literal 2 binary64))
97.1%1c
98.9%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)))
97.1%1x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes39.0ms (0.2%)

Memory
10.8MiB live, 56.1MiB allocated; 4ms collecting garbage
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 (neg.f64 s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 s (*.f64 (*.f64 (*.f64 x x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) (neg.f64 (*.f64 (*.f64 x (*.f64 s x)) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 (*.f64 c x) s) #s(literal -1 binary64)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (*.f64 c (*.f64 s c)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) s) (*.f64 c c))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) c) c)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (*.f64 (*.f64 (neg.f64 x) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (fabs.f64 (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (*.f64 c c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) #s(literal -1 binary64)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 s) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 (neg.f64 x) s) (*.f64 s x))))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) s)) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 s s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) s) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) x) (/.f64 (/.f64 #s(literal -1 binary64) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (pow.f64 (*.f64 c c) #s(literal -1/2 binary64)) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(/.f64 #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)) (pow (* s x) 2)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (*.f64 c c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 s x))) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (pow.f64 s #s(literal -1 binary64)) c) x) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (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 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 (*.f64 s c) #s(literal -1/2 binary64)) x)) (*.f64 s c)))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) 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) x) (*.f64 x (*.f64 c c))))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 c x) (*.f64 (*.f64 c s) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s (*.f64 (*.f64 (*.f64 s x) x) (*.f64 c c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c 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 s s) x) (*.f64 x (*.f64 c c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) s) c) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 s x)) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x)) c))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

2 calls:

21.0ms
x
15.0ms
(/.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
97.1%1x
97.1%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)))
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes93.0ms (0.5%)

Memory
-11.8MiB live, 128.7MiB allocated; 15ms collecting garbage
Counts
63 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 (neg.f64 s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 s (*.f64 (*.f64 (*.f64 x x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) (neg.f64 (*.f64 (*.f64 x (*.f64 s x)) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 (*.f64 c x) s) #s(literal -1 binary64)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (*.f64 c (*.f64 s c)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) s) (*.f64 c c))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) c) c)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (*.f64 (*.f64 (neg.f64 x) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (fabs.f64 (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (*.f64 c c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) #s(literal -1 binary64)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 s) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 (neg.f64 x) s) (*.f64 s x))))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) s)) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 s s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) s) (/.f64 (/.f64 #s(literal -1 binary64) c) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 s c)) x) (/.f64 (/.f64 #s(literal -1 binary64) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow (* s c) 2) (* x x))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (pow.f64 (*.f64 c c) #s(literal -1/2 binary64)) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
(/.f64 #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)) (pow (* s x) 2)) (pow.f64 (*.f64 s x) #s(literal -2 binary64))) (*.f64 c c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 s x))) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (pow.f64 s #s(literal -1 binary64)) c) x) x))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (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 (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 (pow.f64 (*.f64 s c) #s(literal -1/2 binary64)) x)) (*.f64 s c)))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x))))
Calls

6 calls:

19.0ms
x
17.0ms
c
16.0ms
(pow.f64 s #s(literal 2 binary64))
15.0ms
s
12.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
75.8%1(pow.f64 s #s(literal 2 binary64))
75.8%1(pow.f64 c #s(literal 2 binary64))
75.8%1c
75.8%1s
79.5%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)))
75.8%1x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes10.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 (neg.f64 s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 s (*.f64 (*.f64 (*.f64 x x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) (neg.f64 (*.f64 (*.f64 x (*.f64 s x)) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 (*.f64 c x) s) #s(literal -1 binary64)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (*.f64 c (*.f64 s c)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) s) (*.f64 c c))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) c) c)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x))
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s s)) c) (*.f64 (*.f64 (neg.f64 x) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) c)) (fabs.f64 (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 s x)) (*.f64 c c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) c) #s(literal -1 binary64)) (*.f64 (*.f64 s c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 s) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1 binary64) c)) (*.f64 (*.f64 (neg.f64 x) s) (*.f64 s x))))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 s x) x))))
Outputs
(/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
Calls

1 calls:

8.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
78.4%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)

regimes50.0ms (0.3%)

Memory
-23.9MiB live, 70.8MiB allocated; 10ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 (neg.f64 s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 s (*.f64 (*.f64 (*.f64 x x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) (neg.f64 (*.f64 (*.f64 x (*.f64 s x)) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 (*.f64 c x) s) #s(literal -1 binary64)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
(/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s x) (*.f64 c (*.f64 s c)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s x) s) (*.f64 c c))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 s x) s) c) c)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

11.0ms
(pow.f64 s #s(literal 2 binary64))
9.0ms
x
8.0ms
c
8.0ms
s
6.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
74.7%1(pow.f64 s #s(literal 2 binary64))
74.7%1(pow.f64 c #s(literal 2 binary64))
74.7%1c
74.7%1s
74.7%1x
74.7%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)))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes36.0ms (0.2%)

Memory
11.3MiB live, 57.3MiB allocated; 3ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 (neg.f64 s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 s) (*.f64 s (*.f64 (*.f64 (*.f64 x x) c) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 s c) (neg.f64 (*.f64 (*.f64 x (*.f64 s x)) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) s) c) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 (*.f64 c x) s) #s(literal -1 binary64)))))
Outputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

6.0ms
(pow.f64 c #s(literal 2 binary64))
6.0ms
x
6.0ms
s
6.0ms
c
5.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
74.7%1(pow.f64 s #s(literal 2 binary64))
74.7%1(pow.f64 c #s(literal 2 binary64))
74.7%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)))
74.7%1c
74.7%1s
74.7%1x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes26.0ms (0.1%)

Memory
1.1MiB live, 45.3MiB allocated; 5ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
Calls

6 calls:

7.0ms
(pow.f64 c #s(literal 2 binary64))
4.0ms
x
4.0ms
s
4.0ms
c
4.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
76.0%2(pow.f64 s #s(literal 2 binary64))
75.3%2(pow.f64 c #s(literal 2 binary64))
75.3%2c
75.4%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)))
76.0%2s
73.2%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes7.0ms (0%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (*.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) x) x))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
Calls

2 calls:

3.0ms
s
3.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
75.9%2(pow.f64 s #s(literal 2 binary64))
75.9%2s
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes18.0ms (0.1%)

Memory
-19.3MiB live, 25.4MiB allocated; 10ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
Calls

5 calls:

8.0ms
(pow.f64 c #s(literal 2 binary64))
2.0ms
c
2.0ms
s
2.0ms
(pow.f64 s #s(literal 2 binary64))
2.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
73.4%2(pow.f64 c #s(literal 2 binary64))
73.6%2c
73.5%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)))
73.9%2(pow.f64 s #s(literal 2 binary64))
73.9%2s
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes13.0ms (0.1%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 (/.f64 #s(literal 1 binary64) s) c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (sqrt.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s)) x))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
Calls

6 calls:

2.0ms
c
2.0ms
x
2.0ms
s
2.0ms
(pow.f64 s #s(literal 2 binary64))
2.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
71.6%1x
71.6%1(pow.f64 c #s(literal 2 binary64))
71.6%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)))
71.6%1c
71.6%1s
71.6%1(pow.f64 s #s(literal 2 binary64))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes8.0ms (0%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x))
Calls

6 calls:

1.0ms
c
1.0ms
s
1.0ms
x
1.0ms
(pow.f64 s #s(literal 2 binary64))
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
70.9%2s
70.9%2(pow.f64 s #s(literal 2 binary64))
70.9%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)))
70.1%2c
66.5%1(pow.f64 c #s(literal 2 binary64))
70.2%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes19.0ms (0.1%)

Memory
-34.7MiB live, 15.3MiB allocated; 24ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

14.0ms
s
1.0ms
x
1.0ms
(pow.f64 s #s(literal 2 binary64))
1.0ms
c
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
55.7%1(pow.f64 c #s(literal 2 binary64))
55.7%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)))
55.7%1c
55.7%1x
55.7%1(pow.f64 s #s(literal 2 binary64))
55.7%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.1601523512831293e-119
-1.4009974173473065e-303
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.1601523512831293e-119
-1.4009974173473065e-303
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch38.0ms (0.2%)

Memory
-6.2MiB live, 38.2MiB allocated; 25ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
1.030300657229821e+62
1.3939120372621098e+63
Samples
30.0ms288×0valid
Compiler

Compiled 319 to 240 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 15.0ms (63.7% of total)
ival-mult: 5.0ms (21.2% of total)
ival-cos: 2.0ms (8.5% of total)
ival-pow2: 2.0ms (8.5% 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)

bsearch21.0ms (0.1%)

Memory
34.5MiB live, 34.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
18.0ms
3946565661850522600.0
3.424786916052145e+26
Samples
14.0ms240×0valid
Compiler

Compiled 269 to 203 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (46.7% of total)
ival-cos: 2.0ms (23.4% of total)
ival-div: 1.0ms (11.7% of total)
ival-pow2: 1.0ms (11.7% 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)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.7945453086558635e-123
1.6712383380654093e-122
Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.520222869000806e-144
5.755145229173948e-133
Compiler

Compiled 19 to 19 computations (0% saved)

simplify64.0ms (0.3%)

Memory
5.5MiB live, 51.4MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
091547
1118547
2195545
3526545
43186545
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (neg.f64 s) x) c) (*.f64 (*.f64 (neg.f64 s) x) c))) (/.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 (*.f64 c s) x)))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7268387242956069/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7268387242956069/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(if (<=.f64 s #s(literal 164999999999999999498739633899992458869574258789435912163950592 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c)))
(if (<=.f64 s #s(literal 5000000000000000000000 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c)))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 7442828536787015/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (neg.f64 s) x) c) (*.f64 (*.f64 (neg.f64 s) x) c))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) (/.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 (*.f64 c s) x)))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7268387242956069/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)) (/.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 s x)))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -7268387242956069/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (/.f64 #s(approx (cos (* 2 x)) (-.f64 (*.f64 #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 c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(if (<=.f64 s #s(literal 164999999999999999498739633899992458869574258789435912163950592 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) s) s)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c)))
(if (<=.f64 s #s(literal 5000000000000000000000 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) x) (*.f64 s s))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c)))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 7442828536787015/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (ratio-of-squares.f64 (/.f64 #s(literal -1 binary64) c) s) (*.f64 x x))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 s x)) c))
(if (<=.f64 (pow.f64 s #s(literal 2 binary64)) #s(literal 439347050248359/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (ratio-of-squares.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 s x)))

derivations425.0ms (2.2%)

Memory
-38.2MiB live, 420.3MiB allocated; 63ms collecting garbage
Stop Event
1×fuel
Samples
45.0ms1 177×0valid
4.0ms103×0invalid
Compiler

Compiled 545 to 90 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 16.0ms (64.5% of total)
ival-div: 7.0ms (28.2% of total)
ival-true: 1.0ms (4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess2.6s (13.5%)

Memory
49.8MiB live, 2 818.5MiB allocated; 611ms collecting garbage
Remove

(abs c)

(abs x)

Samples
1.6s37 555×0valid
170.0ms3 725×0invalid
Compiler

Compiled 1 734 to 504 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 897.0ms
ival-mult: 576.0ms (64.2% of total)
ival-div: 269.0ms (30% of total)
ival-true: 25.0ms (2.8% of total)
ival-assert: 15.0ms (1.7% of total)
adjust: 11.0ms (1.2% of total)

end0.0ms (0%)

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

Profiling

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