mixedcos

Time bar (total: 8.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze178.0ms (2.2%)

Memory
15.3MiB live, 244.2MiB allocated
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)

sample1.4s (17%)

Memory
-2.0MiB live, 1 470.5MiB allocated
Samples
979.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 765.0ms
ival-cos: 252.0ms (32.9% of total)
ival-mult: 248.0ms (32.4% of total)
ival-pow2: 190.0ms (24.8% of total)
ival-div: 60.0ms (7.8% of total)
ival-true: 7.0ms (0.9% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain190.0ms (2.4%)

Memory
19.7MiB live, 245.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
550-1(-1.3418353400154731e-171 -2.226145125953645e-162 -1.1359681968461745e+192)(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
381(-1.1655593815978812e+222 4.448095825945142e+135 4.311996350441727e-273)3(6.527910666991258e+95 -3.993523417307004e+274 -4.1074176314946863e-160)(*.f64 x (pow.f64 s #s(literal 2 binary64)))
130-3(-1.1655593815978812e+222 4.448095825945142e+135 4.311996350441727e-273)(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
30-0-(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
00-0-(pow.f64 c #s(literal 2 binary64))
00-0-(*.f64 #s(literal 2 binary64) x)
0122(9.405496929982104e+208 -5.322727390273776e-124 -2.5572998814024867e+49)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))sensitivity1220
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*o210
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))u*o170
↳(pow.f64 c #s(literal 2 binary64))underflow53
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow80
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow63
↳(pow.f64 s #s(literal 2 binary64))overflow64
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u170
↳(pow.f64 c #s(literal 2 binary64))overflow64
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow65
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow47
↳(pow.f64 s #s(literal 2 binary64))underflow51
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*u150
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*u100
*.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*o70
/.f64(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))n/o30
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow80
↳(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))overflow89
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow63
↳(pow.f64 s #s(literal 2 binary64))overflow64
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*u30
Confusion
Predicted +Predicted -
+810
-9679
Precision
0.4576271186440678
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8100
-96079
Precision?
0.4576271186440678
Recall?
1.0
Freqs
test
numberfreq
079
1133
240
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
72.0ms512×0valid
Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 19.0ms (42.7% of total)
ival-mult: 12.0ms (27% of total)
ival-pow2: 10.0ms (22.5% of total)
ival-div: 3.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess461.0ms (5.8%)

Memory
-10.3MiB live, 132.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047161
1146147
2480147
31956147
45003147
57805147
01216
02016
14016
29816
335816
4218416
5492716
6565316
7577816
8616816
9732216
0828816
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 s c)) (*.f64 (*.f64 s c) (*.f64 x x)))
Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify134.0ms (1.7%)

Memory
-20.7MiB live, 177.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
02056
14056
29856
335856
4218456
5492756
6565356
7577856
8616856
9732256
0828856
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(pow.f64 c #s(literal 2 binary64))
c
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(pow.f64 s #s(literal 2 binary64))
s
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 (*.f64 s c) (*.f64 x x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))
(pow.f64 c #s(literal 2 binary64))
(*.f64 c c)
c
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 s s) x)
(pow.f64 s #s(literal 2 binary64))
(*.f64 s s)
s

localize48.0ms (0.6%)

Memory
-17.4MiB live, 72.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.3747791146227102
(/.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)))
accuracy3.1744030120361133
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy7.801660501061981
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy10.967031645953567
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
Samples
30.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (34.2% of total)
ival-cos: 5.0ms (28.5% of total)
ival-pow2: 4.0ms (22.8% of total)
ival-div: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.6%)

Memory
-4.7MiB live, 53.2MiB allocated
Counts
6 → 14
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)
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
Calls

9 calls:

TimeVariablePointExpression
27.0ms
s
@-inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms
s
@0
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms
x
@inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms
x
@0
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
2.0ms
x
@-inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))

simplify179.0ms (2.2%)

Memory
12.3MiB live, 202.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050222
1144206
2519188
33912184
08363174
Stop Event
1×iter limit
1×node limit
Counts
14 → 14
Calls
Call 1
Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))

rewrite99.0ms (1.2%)

Memory
-16.9MiB live, 76.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01246
02046
15946
226142
0256342
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
6 → 256
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)
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
Outputs
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) c))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 c c) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 s s) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 c c)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 s s) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 c c) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 c c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 (*.f64 s s) x) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) c) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)))
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s)
(/.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))
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(fma.f64 (*.f64 x x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))

eval30.0ms (0.4%)

Memory
-0.8MiB live, 44.8MiB allocated
Compiler

Compiled 6 488 to 894 computations (86.2% saved)

prune16.0ms (0.2%)

Memory
42.1MiB live, 42.1MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New25119270
Fresh000
Picked101
Done000
Total25219271
Accuracy
99.6%
Counts
271 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.9%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
▶87.7%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
76.6%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
11.3%
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
79.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
76.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 s x)) s)))
▶87.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
▶71.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
69.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
82.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
74.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
▶81.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
74.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
67.1%
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
77.5%
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
▶48.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
43.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
75.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s))
63.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
Compiler

Compiled 882 to 572 computations (35.1% saved)

simplify195.0ms (2.4%)

Memory
-29.3MiB live, 66.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
cost-diff2
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
cost-diff2
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
cost-diff2
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
cost-diff3
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043305
072303
1161289
2544283
33522283
08101283
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c 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 (*.f64 c s) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(*.f64 c s)
c
s
#s(literal 2 binary64)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 x x) c)
c
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 x c)
c
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 c c)
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
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 c s)
c
s
Outputs
(/.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)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 c s)
(*.f64 s c)
c
s
#s(literal 2 binary64)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 x x) c)
c
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 x c)
(*.f64 c x)
c
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 c c)
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 c s)
(*.f64 s c)
c
s

localize117.0ms (1.5%)

Memory
37.0MiB live, 127.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.21712875976844204
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy0.3747791146227102
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
accuracy2.8456654415866973
(*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x)
accuracy4.801754103476057
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
accuracy0.3747791146227102
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
accuracy3.1744030120361133
(*.f64 (*.f64 (*.f64 s s) x) x)
accuracy7.801660501061981
(*.f64 (*.f64 s s) x)
accuracy10.967031645953567
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
accuracy0.3747791146227102
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
accuracy3.436543249880692
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
accuracy4.784605435882089
(*.f64 (*.f64 (*.f64 s s) x) c)
accuracy7.801660501061981
(*.f64 (*.f64 s s) x)
accuracy7.564837377115756
(*.f64 (*.f64 x x) c)
accuracy10.548319621677463
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
accuracy14.63562168059791
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
accuracy19.791778273536934
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
accuracy0.21712875976844204
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy0.5533502792425424
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
accuracy2.7959967488260618
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
accuracy4.801754103476057
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
Samples
91.0ms256×0valid
Compiler

Compiled 290 to 43 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 38.0ms (57.3% of total)
ival-div: 10.0ms (15.1% of total)
ival-cos: 10.0ms (15.1% of total)
ival-pow2: 7.0ms (10.6% of total)
ival-add: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series149.0ms (1.9%)

Memory
-50.8MiB live, 51.4MiB allocated
Counts
22 → 31
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 x x) c)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) x))
(* c (pow x 2))
(* (pow s 2) x)
(* c (* (pow s 2) x))
(* (pow s 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(cos (* -2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))
Calls

9 calls:

TimeVariablePointExpression
102.0ms
x
@0
((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* s s) x) x))
9.0ms
s
@-inf
((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* s s) x) x))
9.0ms
c
@0
((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* s s) x) x))
5.0ms
x
@-inf
((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* s s) x) x))
5.0ms
s
@inf
((/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (cos (* -2 x)) (* -2 x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (* 2 x)) (* (* (* (* s s) x) x) (* c c))) (/ (cos (* 2 x)) (* (* (pow (* c s) 2) x) x)) (* (* (pow (* c s) 2) x) x) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* s s) x) x))

simplify187.0ms (2.3%)

Memory
47.2MiB live, 187.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067494
1191446
2656412
34667400
08192385
Stop Event
1×iter limit
1×node limit
Counts
31 → 31
Calls
Call 1
Inputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) x))
(* c (pow x 2))
(* (pow s 2) x)
(* c (* (pow s 2) x))
(* (pow s 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(cos (* -2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 (*.f64 s c) c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))) (*.f64 x x))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 (*.f64 s c) c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)
(* c (pow x 2))
(*.f64 (*.f64 x x) c)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* c (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 s s) x) c)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c)) c)
(cos (* -2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(* (pow c 2) (pow s 2))
(*.f64 (*.f64 (*.f64 s c) c) s)

rewrite81.0ms (1%)

Memory
-34.1MiB live, 52.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043223
072221
1216183
01103183
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 484
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 x x) c)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
Outputs
(/.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 (/.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)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)) (*.f64 (*.f64 c c) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s s) x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) c) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c)) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(/.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 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (neg.f64 (*.f64 c c)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x))) (neg.f64 (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.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 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) x)
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(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) x)
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) (neg.f64 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))))
(/.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 (/.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)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)) (*.f64 (*.f64 c c) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s s) x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) c) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c)) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(/.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 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (neg.f64 (*.f64 c c)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x))) (neg.f64 (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.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 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) x)
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) (neg.f64 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))))
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)
(*.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 (*.f64 (*.f64 x x) c) s) (*.f64 s c))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 s c) (neg.f64 x)) (*.f64 (*.f64 s c) (neg.f64 x)))
(*.f64 (*.f64 (*.f64 s c) (fabs.f64 x)) (*.f64 (*.f64 s c) (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (neg.f64 x))
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 (fabs.f64 c) (*.f64 (fabs.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c (*.f64 c x)))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) (*.f64 c c)))
(*.f64 (*.f64 s s) (*.f64 x (*.f64 (*.f64 c c) x)))
(*.f64 (*.f64 c x) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 (*.f64 s c) s) (*.f64 (*.f64 x x) c))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.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 s c) (*.f64 s (*.f64 (*.f64 x x) c)))
(*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))
(*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))
(*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c))
(*.f64 c (*.f64 (*.f64 x x) (*.f64 (*.f64 s c) s)))
(*.f64 c (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))
(*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) s)))
(*.f64 x (*.f64 (*.f64 s s) (*.f64 (*.f64 c c) x)))
(*.f64 x (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 c c) s) (*.f64 s x))
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s))
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (*.f64 (*.f64 s s) x)))
(*.f64 (fabs.f64 c) (*.f64 (fabs.f64 c) (*.f64 (*.f64 s s) x)))
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c c))
(*.f64 (*.f64 (*.f64 s c) s) (*.f64 c x))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(*.f64 (*.f64 s c) (*.f64 (*.f64 s c) x))
(*.f64 c (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 x (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.f64 (*.f64 c (*.f64 s c)) s)
(*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) (neg.f64 s))
(*.f64 (*.f64 (*.f64 c c) (fabs.f64 s)) (fabs.f64 s))
(*.f64 (*.f64 (*.f64 s c) c) s)
(*.f64 (*.f64 (*.f64 c c) s) s)
(*.f64 (*.f64 (neg.f64 c) (neg.f64 s)) (*.f64 (neg.f64 c) (neg.f64 s)))
(*.f64 (*.f64 (neg.f64 c) (fabs.f64 s)) (*.f64 (neg.f64 c) (fabs.f64 s)))
(*.f64 (*.f64 (neg.f64 c) s) (*.f64 (neg.f64 c) s))
(*.f64 (*.f64 (fabs.f64 c) (neg.f64 s)) (*.f64 (fabs.f64 c) (neg.f64 s)))
(*.f64 (*.f64 (fabs.f64 c) (fabs.f64 s)) (*.f64 (fabs.f64 c) (fabs.f64 s)))
(*.f64 (*.f64 (fabs.f64 c) s) (*.f64 (fabs.f64 c) s))
(*.f64 (*.f64 c (neg.f64 s)) (*.f64 c (neg.f64 s)))
(*.f64 (*.f64 c (fabs.f64 s)) (*.f64 c (fabs.f64 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 (neg.f64 c) (*.f64 s s)))
(*.f64 (fabs.f64 c) (*.f64 (fabs.f64 c) (*.f64 s s)))
(*.f64 (*.f64 c c) (*.f64 s s))
(*.f64 (*.f64 s s) (*.f64 c c))
(*.f64 (*.f64 (*.f64 s c) s) c)
(*.f64 (*.f64 s c) (*.f64 s c))
(*.f64 s (*.f64 c (*.f64 s 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))
(exp.f64 (fma.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 (*.f64 c (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 c (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) c))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) c))
(*.f64 (*.f64 c x) x)
(*.f64 (*.f64 x x) c)
(*.f64 c (*.f64 x x))
(*.f64 x (*.f64 c x))
(*.f64 (*.f64 x (neg.f64 s)) (neg.f64 s))
(*.f64 (*.f64 x (fabs.f64 s)) (fabs.f64 s))
(*.f64 (*.f64 s x) s)
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) x))
(*.f64 (fabs.f64 s) (*.f64 (fabs.f64 s) x))
(*.f64 (*.f64 s s) x)
(*.f64 s (*.f64 s x))
(*.f64 x (*.f64 s s))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) (*.f64 c x)))
(*.f64 (fabs.f64 s) (*.f64 (fabs.f64 s) (*.f64 c x)))
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) (*.f64 c x))
(*.f64 (*.f64 c x) (*.f64 s s))
(*.f64 (*.f64 (*.f64 s c) s) x)
(*.f64 (*.f64 s c) (*.f64 s x))
(*.f64 s (*.f64 (*.f64 s x) c))
(*.f64 s (*.f64 s (*.f64 c x)))
(*.f64 c (*.f64 (*.f64 s s) x))
(*.f64 x (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 (*.f64 s s) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 s s) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 s) (neg.f64 x)) (*.f64 (neg.f64 s) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 s) (fabs.f64 x)) (*.f64 (neg.f64 s) (fabs.f64 x)))
(*.f64 (*.f64 (neg.f64 s) x) (*.f64 (neg.f64 s) x))
(*.f64 (*.f64 (fabs.f64 s) (neg.f64 x)) (*.f64 (fabs.f64 s) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 s) (fabs.f64 x)) (*.f64 (fabs.f64 s) (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 s) x) (*.f64 (fabs.f64 s) x))
(*.f64 (*.f64 s (neg.f64 x)) (*.f64 s (neg.f64 x)))
(*.f64 (*.f64 s (fabs.f64 x)) (*.f64 s (fabs.f64 x)))
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) (*.f64 x x)))
(*.f64 (fabs.f64 s) (*.f64 (fabs.f64 s) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 s s))
(*.f64 s (*.f64 (*.f64 s 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))

eval49.0ms (0.6%)

Memory
5.2MiB live, 106.4MiB allocated
Compiler

Compiled 9 122 to 1 254 computations (86.3% saved)

prune28.0ms (0.4%)

Memory
29.4MiB live, 73.8MiB allocated
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New33725362
Fresh11314
Picked505
Done000
Total35328381
Accuracy
100.0%
Counts
381 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.7%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
77.7%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
79.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 s x))) x)
▶95.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
73.3%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
▶71.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
81.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
87.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 c x)) x))
82.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
95.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
93.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
87.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(approx (* (pow (* c s) 2) x) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)) x))
68.8%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
▶64.9%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
56.5%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
59.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
50.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
50.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)))
61.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
▶46.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
53.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
56.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
52.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
46.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
43.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
63.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
18.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
▶32.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
Compiler

Compiled 1 534 to 1 026 computations (33.1% saved)

simplify114.0ms (1.4%)

Memory
-4.5MiB live, 143.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff0
(cos.f64 (+.f64 x x))
cost-diff0
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
cost-diff2
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x)
cost-diff0
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s)
cost-diff0
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
cost-diff2
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s)
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
cost-diff2
(*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))
cost-diff3
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x))))
cost-diff0
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c)
cost-diff0
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
cost-diff2
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
cost-diff0
(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
cost-diff0
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
cost-diff2
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062384
091376
1219350
2841338
33968338
08202338
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 x (*.f64 s c))
(*.f64 s c)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c)
(/.f64 #s(literal -2 binary64) (*.f64 s s))
#s(literal -2 binary64)
(*.f64 s s)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))
(*.f64 s s)
s
(*.f64 (*.f64 c x) (*.f64 c x))
(*.f64 c x)
c
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x)
(/.f64 #s(literal 1 binary64) (*.f64 c c))
#s(literal 1 binary64)
(*.f64 c c)
c
x
s
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 c c)
c
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 c x) s)
(*.f64 s c)
(*.f64 c s)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
(/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c)
(/.f64 #s(literal -2 binary64) (*.f64 s s))
#s(literal -2 binary64)
(*.f64 s s)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 s s)
s
(*.f64 (*.f64 c x) (*.f64 c x))
(*.f64 (*.f64 (*.f64 x x) c) c)
(*.f64 c x)
c
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x)
(/.f64 #s(literal 1 binary64) (*.f64 c c))
#s(literal 1 binary64)
(*.f64 c c)
c
x
s
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) 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))
(cos.f64 (+.f64 x x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 c c)
c

localize228.0ms (2.8%)

Memory
-17.4MiB live, 234.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3747791146227102
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
accuracy3.1744030120361133
(*.f64 (*.f64 (*.f64 s s) x) x)
accuracy7.801660501061981
(*.f64 (*.f64 s s) x)
accuracy10.967031645953567
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
accuracy3.5472799059839444
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s)
accuracy5.828722288269287
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s)
accuracy6.832246880507976
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x)
accuracy12.08688044631493
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
accuracy0.20769501953688402
(*.f64 (*.f64 c x) (*.f64 c x))
accuracy13.762183043954703
(*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))
accuracy14.63562168059791
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x))))
accuracy19.791778273536934
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
accuracy2.262786164410594
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
accuracy7.127861577214299
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c)
accuracy19.791778273536934
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
accuracy27.33629293878725
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c))
accuracy0.1484375
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
accuracy0.5533502792425424
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
accuracy2.7959967488260618
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
accuracy5.706548918489084
(*.f64 x (*.f64 s c))
Samples
198.0ms256×0valid
Compiler

Compiled 317 to 55 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-cos: 59.0ms (38.5% of total)
ival-div: 50.0ms (32.6% of total)
ival-mult: 34.0ms (22.2% of total)
ival-pow2: 7.0ms (4.6% of total)
ival-add: 2.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series72.0ms (0.9%)

Memory
-4.3MiB live, 86.6MiB allocated
Counts
25 → 35
Calls
Call 1
Inputs
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x))))
(*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 c x) (*.f64 c x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 s s) x) x)
Outputs
(* (pow c 2) (* (pow s 2) x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/ 1 (* (pow c 2) (pow x 2)))
(* 2 x)
(* c (* s x))
(* (pow c 2) (pow x 2))
(/ 1 (* (pow c 2) x))
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(cos (* -2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (neg (* -2 x)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* c (pow s 2)))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
((* (* x (* s c)) (* s c)) (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (cos (* -2 x)) (/ (/ (/ -2 (* s s)) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* s s) (* (* c x) (* c x)))) (* (* s s) (* (* c x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (/ (/ (/ (/ (/ 1 (* c c)) x) x) s) s) (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (/ (/ (/ 1 (* c c)) x) x) s) (/ (/ (/ 1 (* c c)) x) x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* x (* s c)) (* (* c x) (* c x)) (/ (/ 1 (* c c)) x) (* (* s s) x) (* (* (* s s) x) x))
13.0ms
s
@0
((* (* x (* s c)) (* s c)) (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (cos (* -2 x)) (/ (/ (/ -2 (* s s)) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* s s) (* (* c x) (* c x)))) (* (* s s) (* (* c x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (/ (/ (/ (/ (/ 1 (* c c)) x) x) s) s) (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (/ (/ (/ 1 (* c c)) x) x) s) (/ (/ (/ 1 (* c c)) x) x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* x (* s c)) (* (* c x) (* c x)) (/ (/ 1 (* c c)) x) (* (* s s) x) (* (* (* s s) x) x))
8.0ms
s
@inf
((* (* x (* s c)) (* s c)) (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (cos (* -2 x)) (/ (/ (/ -2 (* s s)) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* s s) (* (* c x) (* c x)))) (* (* s s) (* (* c x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (/ (/ (/ (/ (/ 1 (* c c)) x) x) s) s) (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (/ (/ (/ 1 (* c c)) x) x) s) (/ (/ (/ 1 (* c c)) x) x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* x (* s c)) (* (* c x) (* c x)) (/ (/ 1 (* c c)) x) (* (* s s) x) (* (* (* s s) x) x))
7.0ms
c
@0
((* (* x (* s c)) (* s c)) (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (cos (* -2 x)) (/ (/ (/ -2 (* s s)) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* s s) (* (* c x) (* c x)))) (* (* s s) (* (* c x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (/ (/ (/ (/ (/ 1 (* c c)) x) x) s) s) (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (/ (/ (/ 1 (* c c)) x) x) s) (/ (/ (/ 1 (* c c)) x) x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* x (* s c)) (* (* c x) (* c x)) (/ (/ 1 (* c c)) x) (* (* s s) x) (* (* (* s s) x) x))
7.0ms
c
@inf
((* (* x (* s c)) (* s c)) (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (cos (* -2 x)) (/ (/ (/ -2 (* s s)) c) c) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* s s) (* (* c x) (* c x)))) (* (* s s) (* (* c x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (/ (/ (/ (/ (/ 1 (* c c)) x) x) s) s) (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/ (/ (/ (/ 1 (* c c)) x) x) s) (/ (/ (/ 1 (* c c)) x) x) (* (* (* (* s s) x) x) (* c c)) (/ (cos (+ x x)) (* (* (* (* s s) x) x) (* c c))) (cos (+ x x)) (+ x x) (* x (* s c)) (* (* c x) (* c x)) (/ (/ 1 (* c c)) x) (* (* s s) x) (* (* (* s s) x) x))

simplify147.0ms (1.8%)

Memory
10.6MiB live, 151.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079538
1219490
2691456
34477444
08093429
Stop Event
1×iter limit
1×node limit
Counts
35 → 35
Calls
Call 1
Inputs
(* (pow c 2) (* (pow s 2) x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/ 1 (* (pow c 2) (pow x 2)))
(* 2 x)
(* c (* s x))
(* (pow c 2) (pow x 2))
(/ 1 (* (pow c 2) x))
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(cos (* -2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (neg (* -2 x)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* c (pow s 2)))
Outputs
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) c) (*.f64 (*.f64 s s) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 c s) c))) (*.f64 x x))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s)) (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) c) (*.f64 (*.f64 s s) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 c s) c))) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x))
(/ 1 (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)
(/ 1 (* (pow c 2) (pow x 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* (pow c 2) (pow x 2))
(*.f64 (*.f64 (*.f64 c x) x) c)
(/ 1 (* (pow c 2) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s s) x) x)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) c) x)) c)
(cos (* -2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))
(cos (neg (* -2 x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s))
(/ -2 (* c (pow s 2)))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c))

rewrite184.0ms (2.3%)

Memory
11.0MiB live, 199.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062328
091310
1305258
21732250
08497250
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 304
Calls
Call 1
Inputs
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x))))
(*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 c x) (*.f64 c x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 s s) x) x)
Outputs
(*.f64 (*.f64 (*.f64 c c) s) (*.f64 s x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) s) c) s)
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s))
(*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))
(*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) c)
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 c s))
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (*.f64 (*.f64 s s) x)))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c c))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 c s) (*.f64 (*.f64 c x) s))
(*.f64 c (*.f64 c (*.f64 (*.f64 s s) x)))
(*.f64 c (*.f64 (*.f64 (*.f64 c x) s) s))
(*.f64 s (*.f64 c (*.f64 (*.f64 c x) s)))
(*.f64 x (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) x)) (neg.f64 (*.f64 (*.f64 s s) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (neg.f64 c))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c)) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x))) (neg.f64 (*.f64 (*.f64 c c) x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))) (*.f64 c c))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
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(fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 x #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(-.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 x (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x x)
(*.f64 (*.f64 s x) c)
(*.f64 (*.f64 c x) s)
(*.f64 (*.f64 c s) x)
(*.f64 c (*.f64 s x))
(*.f64 s (*.f64 c x))
(*.f64 x (*.f64 c s))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) c) (neg.f64 s)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) c) s))
(fabs.f64 (*.f64 (*.f64 c x) (neg.f64 s)))
(fabs.f64 (*.f64 (neg.f64 s) (*.f64 (neg.f64 x) c)))
(fabs.f64 (*.f64 (neg.f64 s) (*.f64 c x)))
(fabs.f64 (*.f64 s (*.f64 (neg.f64 x) c)))
(fabs.f64 (neg.f64 (*.f64 (*.f64 c x) s)))
(fabs.f64 (*.f64 (*.f64 c x) s))
(*.f64 (neg.f64 (*.f64 (neg.f64 c) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 c) (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) c))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) c))))
(*.f64 (exp.f64 (log.f64 (*.f64 c x))) (exp.f64 (log.f64 (*.f64 c x))))
(*.f64 (*.f64 (*.f64 c c) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 c) (neg.f64 x)) (*.f64 (neg.f64 c) (neg.f64 x)))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) c)) (neg.f64 (*.f64 (neg.f64 x) c)))
(*.f64 (*.f64 (*.f64 c c) x) x)
(*.f64 (*.f64 (neg.f64 x) c) (*.f64 (neg.f64 x) c))
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (*.f64 x x)))
(*.f64 (*.f64 c c) (*.f64 x x))
(*.f64 (*.f64 c x) (*.f64 c x))
(*.f64 (*.f64 (*.f64 x x) c) c)
(*.f64 (*.f64 x x) (*.f64 c c))
(*.f64 c (*.f64 (*.f64 x x) c))
(*.f64 x (*.f64 (*.f64 c c) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 c x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) (neg.f64 c)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 c) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 x) c)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) c) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 c x) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) c) (*.f64 c x)))
(neg.f64 (*.f64 (*.f64 c x) (*.f64 (neg.f64 x) c)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) c) (*.f64 c x)))
(fabs.f64 (*.f64 (*.f64 c x) (*.f64 (neg.f64 x) c)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 c) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) c)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 c x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 c x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 c x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) c) #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 c x) #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 c #s(literal -2 binary64)))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 x) c) #s(literal -1 binary64)))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (*.f64 c x) #s(literal -1 binary64)))
(*.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (neg.f64 (*.f64 (*.f64 c c) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 c c) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 c #s(literal -1 binary64))) (*.f64 (neg.f64 x) c))
(/.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 c x))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 c c) x))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 c c) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x))
(/.f64 (pow.f64 c #s(literal -2 binary64)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (pow.f64 c #s(literal -2 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (pow.f64 c #s(literal -2 binary64)) (neg.f64 x))
(/.f64 (pow.f64 c #s(literal -2 binary64)) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 c) c) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 c c) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 c c) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x))
(neg.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c c) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (neg.f64 s)) (neg.f64 s))
(*.f64 (*.f64 s x) s)
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) x))
(*.f64 (*.f64 s s) x)
(*.f64 s (*.f64 s x))
(*.f64 x (*.f64 s s))
(fabs.f64 (*.f64 (*.f64 s s) (neg.f64 x)))
(fabs.f64 (*.f64 (*.f64 s s) x))
(*.f64 (neg.f64 (*.f64 (neg.f64 s) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 s) (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 (neg.f64 s) x)) (neg.f64 (*.f64 (neg.f64 s) x)))
(*.f64 (neg.f64 (*.f64 s (neg.f64 x))) (neg.f64 (*.f64 s (neg.f64 x))))
(*.f64 (*.f64 (*.f64 s s) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 s) (neg.f64 x)) (*.f64 (neg.f64 s) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 s) x) (*.f64 (neg.f64 s) x))
(*.f64 (*.f64 s (neg.f64 x)) (*.f64 s (neg.f64 x)))
(*.f64 (neg.f64 (*.f64 s x)) (neg.f64 (*.f64 s x)))
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 x x) (*.f64 s s))
(*.f64 (*.f64 s s) (*.f64 x x))
(*.f64 s (*.f64 (*.f64 s x) x))
(*.f64 s (*.f64 s (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 s s) x))
(pow.f64 (*.f64 (neg.f64 x) (neg.f64 s)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) s) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 s)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 s) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 s) x) #s(literal 2 binary64))
(pow.f64 (*.f64 s (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)))

eval217.0ms (2.7%)

Memory
-29.4MiB live, 259.1MiB allocated
Compiler

Compiled 45 418 to 4 627 computations (89.8% saved)

prune90.0ms (1.1%)

Memory
20.4MiB live, 155.1MiB allocated
Pruning

46 alts after pruning (42 fresh and 4 done)

PrunedKeptTotal
New1 154301 184
Fresh111223
Picked145
Done000
Total1 166461 212
Accuracy
100.0%
Counts
1 212 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
79.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 s x))) x)
✓95.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
54.7%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
77.7%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
✓71.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
81.7%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c)))
81.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
87.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 c x)) x))
82.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
▶95.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
93.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
87.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(approx (* (pow (* c s) 2) x) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)) x))
68.8%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
▶68.1%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
79.1%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
39.2%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 (neg.f64 s) s)))
63.7%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 s s)))
▶39.4%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
69.5%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) s))
34.8%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x) (*.f64 (neg.f64 x) (*.f64 s s))))
65.4%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
35.1%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
59.3%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
70.8%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
56.5%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
67.3%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (/ (/ (/ 1 (* c c)) x) x) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)) s))
78.9%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
40.0%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
67.7%
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
84.1%
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x)))
59.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
▶61.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
61.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
✓46.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
58.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
58.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) s)) (*.f64 c x)))
43.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c)))
59.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))
63.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
21.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
✓32.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
28.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
32.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
26.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
▶28.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
Compiler

Compiled 2 523 to 1 705 computations (32.4% saved)

simplify107.0ms (1.3%)

Memory
-4.0MiB live, 145.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 c x) #s(literal -2 binary64))
cost-diff0
(/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s))
cost-diff0
(/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s)
cost-diff0
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c)
cost-diff0
#s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c))
cost-diff0
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
cost-diff2
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
cost-diff2
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
cost-diff3
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))
cost-diff0
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
cost-diff2
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
cost-diff2
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064396
093380
1215358
2776346
32944346
08167346
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 x (*.f64 s c))
(*.f64 s c)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
(*.f64 (neg.f64 s) s)
(neg.f64 s)
s
(*.f64 c c)
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
(*.f64 (*.f64 s c) x)
(*.f64 s c)
s
c
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x))
#s(literal 1 binary64)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
x
c
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
(/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s)
(/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s))
(pow.f64 (*.f64 c x) #s(literal -2 binary64))
(*.f64 c x)
c
x
#s(literal -2 binary64)
(neg.f64 s)
s
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 c s) x)
(*.f64 s c)
(*.f64 c s)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))
(neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
(neg.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(*.f64 (neg.f64 s) s)
(neg.f64 s)
s
(*.f64 c c)
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 s c) x)
(*.f64 (*.f64 c s) x)
(*.f64 s c)
(*.f64 c s)
s
c
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) x)
#s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c))
#s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x))
#s(literal 1 binary64)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
x
c
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) (neg.f64 s)))
(/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s)
(/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) (neg.f64 s))
(/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s))
(pow.f64 (*.f64 c x) #s(literal -2 binary64))
(*.f64 c x)
c
x
#s(literal -2 binary64)
(neg.f64 s)
s

localize171.0ms (2.1%)

Memory
-11.1MiB live, 277.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.189785009768442
(pow.f64 (*.f64 c x) #s(literal -2 binary64))
accuracy3.5472799059839444
(/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s)
accuracy5.828722288269287
(/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s))
accuracy38.3948410258144
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
accuracy3.5263132718695904
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)
accuracy4.723812809165434
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c)
accuracy7.801660501061981
(*.f64 (*.f64 s s) x)
accuracy15.119070199967119
#s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c))
accuracy0.140625
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
accuracy5.706548918489084
(*.f64 (*.f64 s c) x)
accuracy14.63562168059791
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
accuracy19.791778273536934
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
accuracy0.7199585184544185
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))
accuracy12.784053924896893
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
accuracy19.791778273536934
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
accuracy27.33629293878725
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))))
accuracy0.1484375
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
accuracy0.3747791146227102
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
accuracy2.8456654415866973
(*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)
accuracy5.706548918489084
(*.f64 x (*.f64 s c))
Samples
140.0ms256×0valid
Compiler

Compiled 306 to 54 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 44.0ms (46.9% of total)
ival-div: 24.0ms (25.6% of total)
ival-cos: 10.0ms (10.7% of total)
ival-pow2: 9.0ms (9.6% of total)
ival-pow: 3.0ms (3.2% of total)
ival-add: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series57.0ms (0.7%)

Memory
21.9MiB live, 112.9MiB allocated
Counts
24 → 31
Calls
Call 1
Inputs
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
(/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s)
(/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s))
(pow.f64 (*.f64 c x) #s(literal -2 binary64))
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)
(*.f64 (*.f64 s c) x)
(*.f64 (*.f64 s s) x)
Outputs
(* (pow c 2) (* (pow s 2) x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ 1 (* c (* (pow s 2) x)))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* s (pow x 2))))
(/ 1 (* (pow c 2) (pow x 2)))
(* c (* s x))
(* (pow s 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(* -1 (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
Calls

9 calls:

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

simplify153.0ms (1.9%)

Memory
18.6MiB live, 165.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077516
1219468
2738434
34697422
08269407
Stop Event
1×iter limit
1×node limit
Counts
31 → 31
Calls
Call 1
Inputs
(* (pow c 2) (* (pow s 2) x))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ 1 (* c (* (pow s 2) x)))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -1 (* (pow c 2) (* s (pow x 2))))
(/ 1 (* (pow c 2) (pow x 2)))
(* c (* s x))
(* (pow s 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(* -1 (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
Outputs
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s)))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) c) (*.f64 (*.f64 s s) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 c c) s))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 c c) s) x) (*.f64 s x))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 c c) s))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) c) (*.f64 (*.f64 s s) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 c c) s))) x)
(/ 1 (* c (* (pow s 2) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c))
(/ -1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) s)) s) c) c)
(/ -1 (* (pow c 2) (* s (pow x 2))))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) s) x) x)
(/ 1 (* (pow c 2) (pow x 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 x x) s)) s)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 x x) s)) s)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 s x)) s)
(* -1 (* (pow c 2) (pow s 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s)))

rewrite191.0ms (2.4%)

Memory
-5.3MiB live, 229.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064343
093315
1302280
21560280
08137280
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 970
Calls
Call 1
Inputs
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
(/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s)
(/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s))
(pow.f64 (*.f64 c x) #s(literal -2 binary64))
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)
(*.f64 (*.f64 s c) x)
(*.f64 (*.f64 s s) x)
Outputs
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s s))
(*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) s)
(*.f64 (*.f64 x (*.f64 c c)) (*.f64 s s))
(*.f64 (*.f64 (*.f64 c c) s) (*.f64 s x))
(*.f64 (*.f64 s x) (*.f64 c (*.f64 c s)))
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c)
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (*.f64 (*.f64 s s) x)))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c c))
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s))
(*.f64 (*.f64 (*.f64 c s) s) (*.f64 c x))
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 c s) (*.f64 (*.f64 c s) x))
(*.f64 c (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 s (*.f64 (*.f64 c x) (*.f64 c s)))
(*.f64 s (*.f64 c (*.f64 (*.f64 c s) x)))
(*.f64 x (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) (neg.f64 c)))) (neg.f64 (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x)) (*.f64 (*.f64 (neg.f64 s) s) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (neg.f64 (*.f64 c c)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s))) (neg.f64 (*.f64 (*.f64 (*.f64 c s) x) x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)) (*.f64 (neg.f64 x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 4 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) (neg.f64 c))) (*.f64 (*.f64 s x) (neg.f64 c)))
(/.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)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c s)) (*.f64 (*.f64 (*.f64 c s) x) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.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 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x))) (*.f64 (*.f64 s x) (neg.f64 c)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (neg.f64 (*.f64 x x)))
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(*.f64 x (*.f64 c s))
(pow.f64 (*.f64 (*.f64 s x) (neg.f64 c)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (*.f64 s x) (neg.f64 c))))
(fabs.f64 (*.f64 (*.f64 s x) (neg.f64 c)))
(fabs.f64 (*.f64 (*.f64 c s) x))
(exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 c s) x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 c s) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 x (neg.f64 s)) (neg.f64 s))
(*.f64 (*.f64 s x) s)
(*.f64 (*.f64 s s) x)
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) x))
(*.f64 s (*.f64 s x))
(*.f64 x (*.f64 s s))

eval98.0ms (1.2%)

Memory
-14.1MiB live, 176.6MiB allocated
Compiler

Compiled 35 390 to 3 516 computations (90.1% saved)

prune78.0ms (1%)

Memory
-19.2MiB live, 129.1MiB allocated
Pruning

54 alts after pruning (49 fresh and 5 done)

PrunedKeptTotal
New83922861
Fresh102737
Picked235
Done224
Total85354907
Accuracy
100.0%
Counts
907 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
97.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
54.7%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
77.7%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
✓71.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
95.0%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
81.7%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c)))
81.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
93.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) s) x))
87.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 c x)) x))
93.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
92.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 c x) (*.f64 c s))) x))
68.8%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
38.7%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 c c) s))) x)) x)
✓68.1%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
68.1%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)) x)
63.5%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
55.0%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
77.7%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
79.1%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
39.2%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 (neg.f64 s) s)))
63.7%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 s s)))
✓39.4%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
69.5%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) s))
34.8%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x) (*.f64 (neg.f64 x) (*.f64 s s))))
65.4%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
35.1%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
59.3%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
36.3%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(approx (pow (* c x) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)) (neg.f64 s)) s))
70.8%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
56.5%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
34.7%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (pow (* c x) -2) (neg s)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) s) x) x)) s))
67.3%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (/ (/ (/ 1 (* c c)) x) x) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)) s))
40.0%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
36.1%
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) #s(approx (/ (/ (pow (* c x) -2) (neg s)) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) s)) s) c) c)))
67.7%
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
59.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
63.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
61.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
60.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
✓46.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
58.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) s)) (*.f64 c x)))
59.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))
63.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
60.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c x))) (*.f64 (*.f64 s x) (neg.f64 c))))
21.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
21.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
28.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
29.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
26.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
32.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
27.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
✓28.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
29.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
Compiler

Compiled 4 486 to 1 557 computations (65.3% saved)

regimes219.0ms (2.7%)

Memory
10.9MiB live, 203.7MiB allocated
Counts
97 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) s)) (*.f64 c x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) #s(approx (/ (/ (pow (* c x) -2) (neg s)) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) s)) s) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (/ (/ (/ 1 (* c c)) x) x) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (pow (* c x) -2) (neg s)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(approx (pow (* c x) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)) (neg.f64 s)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c x))) (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 c c) s))) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 s s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 (neg.f64 s) s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x) (*.f64 (neg.f64 x) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(approx (* (pow (* c s) 2) x) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 c x) (*.f64 c s))) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 c x)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) s) 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 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 s x))) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) 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 (*.f64 c c) x)) s) (*.f64 s x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 s x)) s)))
(/.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 c s) #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 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x)))
Calls

6 calls:

57.0ms
(/.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)))
51.0ms
(pow.f64 s #s(literal 2 binary64))
37.0ms
c
27.0ms
x
23.0ms
s
Results
AccuracySegmentsBranch
97.3%1(pow.f64 s #s(literal 2 binary64))
99.3%2(pow.f64 c #s(literal 2 binary64))
97.3%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
99.2%2x
99.3%2c
97.3%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes82.0ms (1%)

Memory
17.4MiB live, 104.0MiB allocated
Counts
85 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) s)) (*.f64 c x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) #s(approx (/ (/ (pow (* c x) -2) (neg s)) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) s)) s) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (/ (/ (/ 1 (* c c)) x) x) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (pow (* c x) -2) (neg s)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(approx (pow (* c x) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)) (neg.f64 s)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c x))) (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 c c) s))) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 s s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 (neg.f64 s) s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x) (*.f64 (neg.f64 x) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(approx (* (pow (* c s) 2) x) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 c x) (*.f64 c s))) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 c x)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) s) 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 #s(literal -2 binary64) x)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 c c) s) (*.f64 s x))) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s))
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
Calls

3 calls:

32.0ms
x
26.0ms
(pow.f64 c #s(literal 2 binary64))
20.0ms
c
Results
AccuracySegmentsBranch
99.0%2x
99.2%2(pow.f64 c #s(literal 2 binary64))
99.2%2c
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes146.0ms (1.8%)

Memory
-6.1MiB live, 141.0MiB allocated
Counts
80 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) s)) (*.f64 c x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) #s(approx (/ (/ (pow (* c x) -2) (neg s)) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) s)) s) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (/ (/ (/ 1 (* c c)) x) x) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (pow (* c x) -2) (neg s)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(approx (pow (* c x) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)) (neg.f64 s)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c x))) (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 c c) s))) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 s s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 (neg.f64 s) s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x) (*.f64 (neg.f64 x) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(approx (* (pow (* c s) 2) x) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 c x) (*.f64 c s))) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) (*.f64 s s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 c x)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) (*.f64 c c)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) s) x))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
Calls

6 calls:

35.0ms
s
32.0ms
c
21.0ms
(/.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)))
19.0ms
x
18.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
96.8%2s
96.8%2(pow.f64 s #s(literal 2 binary64))
95.0%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)))
97.8%2x
97.6%2(pow.f64 c #s(literal 2 binary64))
97.6%2c
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes161.0ms (2%)

Memory
6.8MiB live, 197.4MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) s)) (*.f64 c x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) #s(approx (/ (/ (pow (* c x) -2) (neg s)) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) s)) s) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (/ (/ (/ 1 (* c c)) x) x) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (pow (* c x) -2) (neg s)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(approx (pow (* c x) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)) (neg.f64 s)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c x))) (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 c c) s))) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 s s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 (neg.f64 s) s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x) (*.f64 (neg.f64 x) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s x) (*.f64 s x)) (*.f64 c c)))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
Calls

6 calls:

42.0ms
(pow.f64 s #s(literal 2 binary64))
34.0ms
(pow.f64 c #s(literal 2 binary64))
31.0ms
(/.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)))
19.0ms
x
16.0ms
s
Results
AccuracySegmentsBranch
88.2%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)))
92.6%2(pow.f64 s #s(literal 2 binary64))
92.6%2s
86.8%2(pow.f64 c #s(literal 2 binary64))
86.8%2c
94.1%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes155.0ms (1.9%)

Memory
-19.8MiB live, 172.9MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) s)) (*.f64 c x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) #s(approx (/ (/ (pow (* c x) -2) (neg s)) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) s)) s) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (/ (/ (/ 1 (* c c)) x) x) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (pow (* c x) -2) (neg s)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(approx (pow (* c x) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)) (neg.f64 s)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c x))) (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 c c) s))) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 s s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (*.f64 (neg.f64 s) s)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 (*.f64 c x) #s(literal -2 binary64)) (neg.f64 s)) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (pow.f64 c #s(literal -2 binary64)) x) (*.f64 (neg.f64 x) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64))))
Calls

6 calls:

47.0ms
s
27.0ms
c
26.0ms
x
24.0ms
(/.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)))
14.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
80.7%2c
80.7%2(pow.f64 c #s(literal 2 binary64))
82.5%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)))
79.1%1(pow.f64 s #s(literal 2 binary64))
79.1%1s
82.8%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes16.0ms (0.2%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
56 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) s)) (*.f64 c x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) #s(approx (/ (/ (pow (* c x) -2) (neg s)) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) s)) s) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (/ (/ (/ 1 (* c c)) x) x) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (pow (* c x) -2) (neg s)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(approx (pow (* c x) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)) (neg.f64 s)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c x))) (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 c c) s))) x)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (neg.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64)))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
82.8%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes16.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c x) s)) (*.f64 (*.f64 c x) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) s)) (*.f64 c x)))
#s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) x) c) c))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) #s(approx (/ (/ (pow (* c x) -2) (neg s)) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) s)) s) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) x)) x) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) x)) c) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (/ (/ (/ 1 (* c c)) x) x) s) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(approx (/ (pow (* c x) -2) (neg s)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) s) x) x)) s))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) x) s) s))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) s) s)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(approx (pow (* c x) -2) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) c) c)) (neg.f64 s)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c x))) (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 c s) (*.f64 c s))) (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) s) (*.f64 (*.f64 c c) s))) x)) x)
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
82.6%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes51.0ms (0.6%)

Memory
-19.3MiB live, 27.0MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) s) s) x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) x) (*.f64 (*.f64 s s) x)))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 s s) x) c)) c)) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 x x))) s) s))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
Calls

2 calls:

42.0ms
x
7.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
80.6%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)))
80.8%2x
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes21.0ms (0.3%)

Memory
27.4MiB live, 27.4MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
Calls

3 calls:

7.0ms
x
7.0ms
c
6.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
80.4%2c
80.4%2(pow.f64 c #s(literal 2 binary64))
80.7%2x
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes45.0ms (0.6%)

Memory
-26.8MiB live, 29.9MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* s s) (* (* c x) (* c x))) (*.f64 (*.f64 (*.f64 (*.f64 c s) c) x) (*.f64 s x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s c) (*.f64 (*.f64 s c) (*.f64 x x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s s) (*.f64 (*.f64 c x) (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 s x) (*.f64 c (*.f64 (*.f64 c s) x)))))
Outputs
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
Calls

4 calls:

25.0ms
x
7.0ms
s
6.0ms
(pow.f64 s #s(literal 2 binary64))
5.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
80.6%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)))
77.7%1(pow.f64 s #s(literal 2 binary64))
77.7%1s
79.8%2x
Compiler

Compiled 21 to 23 computations (-9.5% saved)

regimes4.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))) x)
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) x) (*.f64 c c)))) x)
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x))
Calls

1 calls:

4.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
80.6%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)

regimes31.0ms (0.4%)

Memory
-26.3MiB live, 20.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 s (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 (*.f64 c c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c s) s)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 s s) c)) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 c c)) (*.f64 (neg.f64 s) s))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
Calls

6 calls:

16.0ms
(pow.f64 s #s(literal 2 binary64))
3.0ms
c
3.0ms
s
3.0ms
x
2.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
32.5%1(pow.f64 s #s(literal 2 binary64))
32.5%1s
32.5%1x
32.5%1c
32.5%1(pow.f64 c #s(literal 2 binary64))
32.5%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes9.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB allocated
Accuracy

Total -1.4b remaining (-3%)

Threshold costs -1.4b (-3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) s))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
Calls

6 calls:

2.0ms
c
2.0ms
s
1.0ms
x
1.0ms
(pow.f64 s #s(literal 2 binary64))
1.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
29.1%1(pow.f64 s #s(literal 2 binary64))
29.1%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)))
29.1%1s
29.1%1(pow.f64 c #s(literal 2 binary64))
29.1%1x
29.1%1c
Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch17.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
8.26388164565236e-35
3.002030920298001e-33
Samples
11.0ms112×0valid
Compiler

Compiled 362 to 242 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (37.8% of total)
ival-mult: 3.0ms (37.8% of total)
ival-pow2: 2.0ms (25.2% of total)
ival-div: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.6%)

Memory
-24.9MiB live, 20.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
4.0042714421718677e+59
1.0388004170122813e+64
Samples
37.0ms128×0valid
Compiler

Compiled 371 to 274 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (34.4% of total)
ival-mult: 3.0ms (34.4% of total)
ival-pow2: 2.0ms (22.9% of total)
ival-div: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
20.4MiB live, 20.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.380513405210326e-127
8.26680407552764e-123
Samples
10.0ms128×0valid
Compiler

Compiled 443 to 290 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (43.2% of total)
ival-pow2: 2.0ms (28.8% of total)
ival-div: 1.0ms (14.4% of total)
ival-cos: 1.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.5%)

Memory
-26.9MiB live, 18.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.129180858098918e-29
1.0495393142730638e-23
Samples
11.0ms144×0valid
Compiler

Compiled 496 to 333 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.9% of total)
ival-pow2: 2.0ms (25.9% of total)
ival-div: 1.0ms (13% of total)
ival-cos: 1.0ms (13% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.093009392506944e+42
1.2545801222025572e+43
Samples
10.0ms96×0valid
Compiler

Compiled 385 to 276 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (39.1% of total)
ival-mult: 2.0ms (26.1% of total)
ival-pow2: 2.0ms (26.1% of total)
ival-div: 1.0ms (13% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.093009392506944e+42
1.2545801222025572e+43
Compiler

Compiled 373 to 264 computations (29.2% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.093009392506944e+42
1.2545801222025572e+43
Compiler

Compiled 349 to 240 computations (31.2% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.093009392506944e+42
1.2545801222025572e+43
Compiler

Compiled 337 to 234 computations (30.6% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.093009392506944e+42
1.2545801222025572e+43
Compiler

Compiled 337 to 234 computations (30.6% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-9.45567295301001e-227
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-9.45567295301001e-227
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify49.0ms (0.6%)

Memory
-5.7MiB live, 47.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0141777
1236737
2575731
33962731
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal 1519961702824139/2923003274661805836407369665432566039311865085952 binary64)) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)) #s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))))
(if (<=.f64 c #s(literal 170000000000000007095537620268141899024965315816726212634476544 binary64)) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)))
(if (<=.f64 x #s(literal 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
(if (<=.f64 x #s(literal 110591769249305/10633823966279326983230456482242756608 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) 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 -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) 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 -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c))))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))
Outputs
(if (<=.f64 c #s(literal 1519961702824139/2923003274661805836407369665432566039311865085952 binary64)) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)) #s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s x)) (*.f64 s x))))
(if (<=.f64 c #s(literal 170000000000000007095537620268141899024965315816726212634476544 binary64)) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))) s)))
(if (<=.f64 c #s(literal 170000000000000007095537620268141899024965315816726212634476544 binary64)) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)) #s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) #s(literal -1 binary64)) s)))
(if (<=.f64 x #s(literal 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
(if (<=.f64 x #s(literal 1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
(if (<=.f64 x #s(literal 110591769249305/10633823966279326983230456482242756608 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))))
(if (<=.f64 x #s(literal 110591769249305/10633823966279326983230456482242756608 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) #s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (pow.f64 (pow.f64 (*.f64 (*.f64 c x) s) #s(literal 2 binary64)) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) #s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (pow.f64 (*.f64 (*.f64 c x) s) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
(if (<=.f64 x #s(literal 7200000000000000199383127353608573366042624 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c x) s) (*.f64 (*.f64 c x) s)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) 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 -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (pow (* c s) 2) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) 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 -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) #s(approx (/ (/ (cos (* -2 x)) (* (* x (* s c)) (* s c))) x) (/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) 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 -5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c))))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (neg s) s) (* c c)) (*.f64 (*.f64 (*.f64 (neg.f64 c) s) s) c)))))

derivations1.2s (14.9%)

Memory
42.9MiB live, 927.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067494
1191446
2656412
34667400
08192385
01246
02046
15946
226142
0256342
077516
1219468
2738434
34697422
08269407
050222
1144206
2519188
33912184
08363174
064343
093315
1302280
21560280
08137280
043223
072221
1216183
01103183
062328
091310
1305258
21732250
08497250
079538
1219490
2691456
34477444
08093429
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 777 to 140 computations (82% saved)

preprocess214.0ms (2.7%)

Memory
-5.6MiB live, 138.1MiB allocated
Remove

(abs x)

Compiler

Compiled 2 328 to 682 computations (70.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...