mixedcos

Time bar (total: 7.1s)

start0.0ms (0%)

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

analyze152.0ms (2.1%)

Memory
14.7MiB live, 205.4MiB allocated; 30ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
18.8%18.7%81.1%0.1%0%0%0%5
28.1%28.1%71.8%0.1%0%0%0%6
42.2%42.1%57.7%0.1%0%0%0%7
49.2%49.1%50.7%0.1%0%0%0%8
57.4%57.3%42.5%0.1%0%0%0%9
67%66.9%33%0.1%0%0%0%10
71.8%71.7%28.2%0.1%0%0%0%11
76.9%76.8%23.1%0.1%0%0%0%12
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.3s (18.9%)

Memory
28.6MiB live, 1 423.5MiB allocated; 397ms collecting garbage
Samples
977.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 766.0ms
ival-cos: 280.0ms (36.5% of total)
ival-mult: 245.0ms (32% of total)
ival-pow2: 177.0ms (23.1% of total)
ival-div: 47.0ms (6.1% of total)
ival-true: 6.0ms (0.8% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain176.0ms (2.5%)

Memory
14.8MiB live, 221.7MiB allocated; 33ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
701(9.154195841841244e+35 -1.6981431865744308e-256 2.3358819335090942e+58)3(-1.4949083397649066e-162 -7.963596865431692e-159 8.3937313637857e+275)(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
320-1(9.499136856275499e+250 -4.5615500948895055e+245 -3.1609254324862717e-161)(*.f64 x (pow.f64 s #s(literal 2 binary64)))
70-1(-2.7493230755405248e+197 -8.468757167909298e+48 -5.9818190293846096e-260)(*.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)
0130(-1.2683799679708412e+86 0.00045970911413499566 -2.0697841017897983e+188)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))sensitivity1300
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u230
↳(pow.f64 c #s(literal 2 binary64))overflow83
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow78
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow58
↳(pow.f64 s #s(literal 2 binary64))underflow62
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))u*o180
↳(pow.f64 c #s(literal 2 binary64))underflow58
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow70
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow60
↳(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))n*o170
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*o160
*.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 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*o50
/.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)overflow70
↳(pow.f64 c #s(literal 2 binary64))overflow83
↳(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))overflow83
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow60
↳(pow.f64 s #s(literal 2 binary64))overflow64
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*u10
Confusion
Predicted +Predicted -
+921
-8776
Precision
0.5139664804469274
Recall
0.989247311827957
Confusion?
Predicted +Predicted MaybePredicted -
+9201
-87076
Precision?
0.5139664804469274
Recall?
0.989247311827957
Freqs
test
numberfreq
077
1124
251
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
77.0ms512×0valid
Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 30.0ms (51.1% of total)
ival-pow2: 13.0ms (22.1% of total)
ival-cos: 11.0ms (18.7% of total)
ival-div: 3.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess192.0ms (2.7%)

Memory
-1.5MiB live, 142.1MiB allocated; 31ms collecting garbage
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; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.2%
(/.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)

simplify108.0ms (1.5%)

Memory
0.8MiB live, 91.2MiB allocated; 9ms collecting garbage
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

localize40.0ms (0.6%)

Memory
-12.0MiB live, 33.8MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.5361374209288378
(/.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)))
accuracy2.4474080930484403
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy7.860678764555977
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy14.175337591958991
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
Samples
32.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 10.0ms (43.9% of total)
ival-mult: 6.0ms (26.3% of total)
ival-pow2: 5.0ms (21.9% of total)
ival-div: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory
-9.4MiB live, 46.1MiB allocated; 10ms collecting garbage
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
21.0ms
c
@-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))

simplify506.0ms (7.1%)

Memory
-28.9MiB live, 200.7MiB allocated; 849ms collecting garbage
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))

rewrite145.0ms (2%)

Memory
-10.4MiB live, 80.6MiB allocated; 14ms collecting garbage
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)
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(*.f64 (*.f64 (*.f64 s s) x) x)
(*.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))
(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)))))

eval32.0ms (0.4%)

Memory
14.3MiB live, 57.3MiB allocated; 9ms collecting garbage
Compiler

Compiled 6 488 to 894 computations (86.2% saved)

prune48.0ms (0.7%)

Memory
3.8MiB live, 64.5MiB allocated; 18ms collecting garbage
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New24921270
Fresh000
Picked101
Done000
Total25021271
Accuracy
98.8%
Counts
271 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s)
77.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
84.9%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
▶65.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
▶85.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
72.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
77.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
74.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
▶84.3%
(/.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 (*.f64 (*.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c)))
71.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
75.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
77.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
▶66.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
78.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
76.9%
(/.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))))
47.3%
(+.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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
▶49.6%
#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 x x) c) (*.f64 (*.f64 s c) s))))
45.2%
#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)))
72.5%
#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))
58.4%
#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 872 to 612 computations (29.8% saved)

simplify90.0ms (1.3%)

Memory
-8.3MiB live, 124.2MiB allocated; 33ms collecting garbage
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 s s) x) x))
cost-diff2
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.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 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
cost-diff2
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
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)) x)
cost-diff0
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042298
070296
1163284
2555278
33587278
08267278
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)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (*.f64 #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 (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 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
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))
(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)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) 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)) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) 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 (*.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 (*.f64 s s) x) (*.f64 (*.f64 c c) 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 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.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)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s x)) (*.f64 s 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 s s) x) x)
(*.f64 (*.f64 (*.f64 s x) x) s)
(*.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

localize167.0ms (2.3%)

Memory
-10.5MiB live, 177.9MiB allocated; 38ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.217128759768442
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy0.5361374209288378
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
accuracy4.244337587797775
(*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x)
accuracy5.277261616154771
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
accuracy0.6036301691596618
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x))
accuracy2.4474080930484403
(*.f64 (*.f64 (*.f64 s s) x) x)
accuracy7.860678764555977
(*.f64 (*.f64 s s) x)
accuracy14.216428252569363
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
accuracy0.5361374209288378
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
accuracy7.860678764555977
(*.f64 (*.f64 s s) x)
accuracy7.964851066555703
(*.f64 (*.f64 c c) x)
accuracy10.029229450219274
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
accuracy6.331557886504182
(*.f64 (*.f64 x x) c)
accuracy10.12644780038763
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
accuracy11.263283371718101
(/.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)))
accuracy19.867837992191554
#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))))
accuracy0.1015625
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
accuracy0.217128759768442
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy4.197118009777344
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
accuracy5.277261616154771
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
Samples
135.0ms256×0valid
Compiler

Compiled 283 to 42 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-pow2: 50.0ms (47.8% of total)
ival-mult: 27.0ms (25.8% of total)
ival-div: 15.0ms (14.3% of total)
ival-cos: 10.0ms (9.6% of total)
ival-add: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.6%)

Memory
-3.4MiB live, 56.7MiB allocated; 8ms collecting garbage
Counts
22 → 36
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) 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 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x))
(/.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 c c) x)
(*.f64 (*.f64 s s) x)
(*.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 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 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)
(/ 1 (* (pow s 2) (pow x 2)))
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))
(* (pow c 2) (* (pow s 2) x))
(* c (pow x 2))
(* (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)) 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))
(/ (cos (* -2 x)) (* (pow s 2) (pow x 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
s
@0
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) 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) (* (* (* s s) x) (* (* c c) x)) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c c) x))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* s s) x) x)) (* c c)) (/ (cos (* -2 x)) (* (* (* s s) x) x)) (/ (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) (* (* c c) x) (* (* s s) x) (* (* (* s s) x) x))
7.0ms
c
@0
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) 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) (* (* (* s s) x) (* (* c c) x)) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c c) x))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* s s) x) x)) (* c c)) (/ (cos (* -2 x)) (* (* (* s s) x) x)) (/ (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) (* (* c c) x) (* (* s s) x) (* (* (* s s) x) x))
5.0ms
x
@-inf
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) 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) (* (* (* s s) x) (* (* c c) x)) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c c) x))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* s s) x) x)) (* c c)) (/ (cos (* -2 x)) (* (* (* s s) x) x)) (/ (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) (* (* c c) x) (* (* s s) x) (* (* (* s s) x) x))
5.0ms
x
@inf
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) 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) (* (* (* s s) x) (* (* c c) x)) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c c) x))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* s s) x) x)) (* c c)) (/ (cos (* -2 x)) (* (* (* s s) x) x)) (/ (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) (* (* c c) x) (* (* s s) x) (* (* (* s s) x) x))
4.0ms
s
@inf
((/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (cos (* -2 x)) 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) (* (* (* s s) x) (* (* c c) x)) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c c) x))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* s s) x) x)) (* c c)) (/ (cos (* -2 x)) (* (* (* s s) x) x)) (/ (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) (* (* c c) x) (* (* s s) x) (* (* (* s s) x) x))

simplify156.0ms (2.2%)

Memory
43.2MiB live, 174.2MiB allocated; 18ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088512
1245472
2873444
36041428
08562410
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
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 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 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)
(/ 1 (* (pow s 2) (pow x 2)))
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))
(* (pow c 2) (* (pow s 2) x))
(* c (pow x 2))
(* (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)) 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))
(/ (cos (* -2 x)) (* (pow s 2) (pow x 2)))
(/ (+ 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 #s(literal 1 binary64) (*.f64 (*.f64 (*.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 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 (*.f64 (*.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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
(/.f64 (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)) 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 c) x) x) s) s)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ 1 (* (pow s 2) (pow x 2)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) s) s)
(/ (+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 s s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 s s)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2))) (pow x 2))
(/.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) s) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) s)) (*.f64 x x))
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)
(* c (pow x 2))
(*.f64 (*.f64 x x) c)
(* (pow c 2) x)
(*.f64 (*.f64 c c) x)
(* (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)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) x) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (cos (* -2 x)) (* (pow s 2) (pow x 2)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) x)) s)
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)

rewrite86.0ms (1.2%)

Memory
-45.7MiB live, 58.7MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042216
070214
1221178
01141178
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 470
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) 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 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x))
(/.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 c c) x)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 s s) x) x)
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)) c) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) 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)) x) x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.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 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c)) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x))) (neg.f64 (*.f64 (*.f64 c c) x)))
(/.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 (*.f64 s s) x)) (*.f64 (*.f64 c c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
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(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
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(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 (neg.f64 c) c)))
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(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)) x)
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(/.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)) (*.f64 s s)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)) (*.f64 c c)) x)
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(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
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(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x))) (neg.f64 (*.f64 (*.f64 c c) x)))
(/.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 (*.f64 s s) x)) (*.f64 (*.f64 c c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) c) c)
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(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
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(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) 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))) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c)))
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(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
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(*.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x)) c)
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(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))
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(*.f64 (*.f64 (*.f64 (*.f64 s s) x) (neg.f64 c)) (neg.f64 c))
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) (fabs.f64 c)) (fabs.f64 c))
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) c)
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.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 (*.f64 c c) x) (*.f64 s s))
(*.f64 (*.f64 c c) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c c))
(*.f64 (*.f64 s s) (*.f64 (*.f64 c c) x))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(*.f64 (*.f64 s c) (*.f64 (*.f64 s c) x))
(*.f64 s (*.f64 (*.f64 s x) (*.f64 c c)))
(*.f64 c (*.f64 c (*.f64 (*.f64 s s) x)))
(*.f64 x (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.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 c (*.f64 s c)) 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)))
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(*.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 (*.f64 c x) x)
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(*.f64 (*.f64 s x) s)
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(*.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))

eval200.0ms (2.8%)

Memory
25.9MiB live, 113.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 9 966 to 1 282 computations (87.1% saved)

prune62.0ms (0.9%)

Memory
13.0MiB live, 73.7MiB allocated; 13ms collecting garbage
Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New37424398
Fresh8816
Picked415
Done000
Total38633419
Accuracy
100.0%
Counts
419 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s)
77.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
77.7%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
▶65.9%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
75.5%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
✓65.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
82.7%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x))
▶93.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
59.9%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
71.9%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
▶66.4%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
71.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c)))
71.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
84.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) x) x))
75.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
74.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c)))
78.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
76.9%
(/.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))))
65.1%
(-.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))))
65.4%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
58.7%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
62.1%
#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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
51.2%
#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 x x) c) s) (*.f64 s c))))
▶55.9%
#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 c) s) x) (*.f64 c x))))
57.3%
#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 (*.f64 c c) x) s) (*.f64 s x))))
61.5%
#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 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
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 c x) x) (*.f64 (*.f64 s c) s))))
55.8%
#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)))))
49.0%
#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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))))
48.4%
#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)))
45.2%
#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)))
19.9%
#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))))
▶32.1%
#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 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
Compiler

Compiled 1 644 to 1 116 computations (32.1% saved)

simplify173.0ms (2.4%)

Memory
-7.6MiB live, 80.6MiB allocated; 11ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
055352
085352
1200352
2659340
32885340
47085340
08179340
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)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (cos.f64 (*.f64 #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 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 (*.f64 (*.f64 s c) s) x) (*.f64 c x))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (*.f64 s c) s) x) (*.f64 c x))
(*.f64 (*.f64 (*.f64 s c) s) x)
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
c
(*.f64 c x)
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 s s)
s
(*.f64 (*.f64 (*.f64 c c) x) x)
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) x)) (*.f64 (*.f64 c c) s))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) 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 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 (*.f64 c c) s) x) s)
(*.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 (/.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 (*.f64 (*.f64 s c) s) 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)) (*.f64 (*.f64 (*.f64 s s) c) c)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) x) (*.f64 c x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s s) c) c))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) x) (*.f64 c x))
(*.f64 (*.f64 (*.f64 x x) s) (*.f64 (*.f64 c c) s))
(*.f64 (*.f64 (*.f64 s c) s) x)
(*.f64 (*.f64 (*.f64 s s) c) x)
(*.f64 (*.f64 s c) s)
(*.f64 (*.f64 s s) c)
(*.f64 s c)
(*.f64 c s)
s
c
(*.f64 c x)
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) x)) (*.f64 (*.f64 c c) s))
(cos.f64 (+.f64 x x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(*.f64 (*.f64 (*.f64 x x) s) (*.f64 (*.f64 c c) s))
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) x)) (*.f64 (*.f64 c c) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 s s)
s
(*.f64 (*.f64 (*.f64 c c) x) x)
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c

localize146.0ms (2.1%)

Memory
16.4MiB live, 206.8MiB allocated; 18ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.1322614678358582
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s))
accuracy2.550504420701346
(*.f64 (*.f64 (*.f64 c c) x) x)
accuracy7.964851066555703
(*.f64 (*.f64 c c) x)
accuracy14.265596418937402
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
accuracy0.5361374209288378
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
accuracy7.860678764555977
(*.f64 (*.f64 s s) x)
accuracy7.964851066555703
(*.f64 (*.f64 c c) x)
accuracy10.029229450219274
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
accuracy2.588798516861363
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) x) (*.f64 c x))
accuracy5.685252527067967
(*.f64 (*.f64 (*.f64 s c) s) x)
accuracy11.263283371718101
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) x) (*.f64 c x)))
accuracy19.867837992191554
#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) x) (*.f64 c x))))
accuracy2.3271762134777525
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
accuracy8.951859694076967
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c)
accuracy19.867837992191554
#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)))
accuracy27.155212898465656
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c))
accuracy0.1015625
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
accuracy0.140625
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
accuracy4.197118009777344
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
accuracy4.521241224210917
(*.f64 x (*.f64 s c))
Samples
118.0ms256×0valid
Compiler

Compiled 299 to 48 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 32.0ms (40.3% of total)
ival-div: 15.0ms (18.9% of total)
ival-cos: 15.0ms (18.9% of total)
ival-pow2: 14.0ms (17.7% of total)
ival-add: 2.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.7%)

Memory
-23.7MiB live, 79.3MiB allocated; 8ms collecting garbage
Counts
27 → 40
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) 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) (*.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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (*.f64 s c) s) x) (*.f64 c x))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 s c) s) x)
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) x) (*.f64 c x))
(*.f64 (*.f64 c c) x)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 c c) 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 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 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 x 2)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (pow s 2))
(+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2)))
(+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2)))
(* c (* s x))
(* (pow c 2) (* (pow s 2) x))
(* c (* (pow s 2) x))
(* (pow c 2) x)
(* (pow s 2) x)
(* (pow c 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) 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 (* 2 x)) (pow s 2))
(/ (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
8.0ms
c
@-inf
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (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) c) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s c) s) x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (+ x x)) (* (* (* s s) x) (* (* c c) x))) (cos (+ x x)) (+ x x) (* (* (* s s) x) (* (* c c) x)) (/ (/ (cos (* 2 x)) (* s s)) (* (* (* c c) x) x)) (/ (cos (* 2 x)) (* s s)) (cos (* 2 x)) (* 2 x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s c) s) x) (* (* (* (* s c) s) x) (* c x)) (* (* c c) x) (* (* s s) x) (* (* (* c c) x) x))
6.0ms
x
@-inf
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (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) c) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s c) s) x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (+ x x)) (* (* (* s s) x) (* (* c c) x))) (cos (+ x x)) (+ x x) (* (* (* s s) x) (* (* c c) x)) (/ (/ (cos (* 2 x)) (* s s)) (* (* (* c c) x) x)) (/ (cos (* 2 x)) (* s s)) (cos (* 2 x)) (* 2 x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s c) s) x) (* (* (* (* s c) s) x) (* c x)) (* (* c c) x) (* (* s s) x) (* (* (* c c) x) x))
6.0ms
x
@0
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (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) c) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s c) s) x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (+ x x)) (* (* (* s s) x) (* (* c c) x))) (cos (+ x x)) (+ x x) (* (* (* s s) x) (* (* c c) x)) (/ (/ (cos (* 2 x)) (* s s)) (* (* (* c c) x) x)) (/ (cos (* 2 x)) (* s s)) (cos (* 2 x)) (* 2 x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s c) s) x) (* (* (* (* s c) s) x) (* c x)) (* (* c c) x) (* (* s s) x) (* (* (* c c) x) x))
5.0ms
c
@inf
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (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) c) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s c) s) x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (+ x x)) (* (* (* s s) x) (* (* c c) x))) (cos (+ x x)) (+ x x) (* (* (* s s) x) (* (* c c) x)) (/ (/ (cos (* 2 x)) (* s s)) (* (* (* c c) x) x)) (/ (cos (* 2 x)) (* s s)) (cos (* 2 x)) (* 2 x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s c) s) x) (* (* (* (* s c) s) x) (* c x)) (* (* c c) x) (* (* s s) x) (* (* (* c c) x) x))
5.0ms
s
@inf
((/ (/ (cos (* -2 x)) x) (* (* x (* s c)) (* s c))) (/ (cos (* -2 x)) x) (cos (* -2 x)) (* -2 x) (/ (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) c) (/ (/ -2 (* s s)) c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s c) s) x) (* c x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (/ (cos (+ x x)) (* (* (* s s) x) (* (* c c) x))) (cos (+ x x)) (+ x x) (* (* (* s s) x) (* (* c c) x)) (/ (/ (cos (* 2 x)) (* s s)) (* (* (* c c) x) x)) (/ (cos (* 2 x)) (* s s)) (cos (* 2 x)) (* 2 x) (* x (* s c)) (* (* x (* s c)) (* s c)) (* (* (* s c) s) x) (* (* (* (* s c) s) x) (* c x)) (* (* c c) x) (* (* s s) x) (* (* (* c c) x) x))

simplify147.0ms (2.1%)

Memory
11.1MiB live, 140.7MiB allocated; 17ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092522
1254482
2838456
35389444
08362425
Stop Event
1×iter limit
1×node limit
Counts
40 → 40
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 x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 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 x 2)
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (pow s 2))
(+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2)))
(+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2)))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2)))
(* c (* s x))
(* (pow c 2) (* (pow s 2) x))
(* c (* (pow s 2) x))
(* (pow c 2) x)
(* (pow s 2) x)
(* (pow c 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) 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 (* 2 x)) (pow s 2))
(/ (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
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.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 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 (*.f64 (*.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)) 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))) x)
(/.f64 (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)) 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 x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s) s)
(/ 1 (pow s 2))
(/.f64 #s(literal 1 binary64) (*.f64 s s))
(+ (* -2 (/ (pow x 2) (pow s 2))) (/ 1 (pow s 2)))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) s)
(+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow s 2))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 s s)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) s))
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow s 2))) (* 2/3 (/ 1 (pow s 2))))) (* 2 (/ 1 (pow s 2))))) (/ 1 (pow s 2)))
(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) s) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) s))
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s)
(* c (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 s x) s) c)
(* (pow c 2) x)
(*.f64 (*.f64 c c) x)
(* (pow s 2) x)
(*.f64 (*.f64 s x) s)
(* (pow c 2) (pow x 2))
(*.f64 (*.f64 (*.f64 c c) 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 s x) x)) s)
(/ (cos (* -2 x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(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 (*.f64 s x) x)) s)
(/ -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 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) x) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ (cos (* 2 x)) (pow s 2))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s))
(/ (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 (*.f64 s x) x)) s)
(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 (/.f64 #s(literal 1 binary64) 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))

rewrite83.0ms (1.2%)

Memory
-28.8MiB live, 76.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055294
085294
1263262
01381262
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
27 → 487
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) 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) (*.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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (*.f64 s c) s) x) (*.f64 c x))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 s c) s) x)
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) x) (*.f64 c x))
(*.f64 (*.f64 c c) x)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 c c) x) x)
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)) c) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x)) x) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c s) x))) c) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c s) x))) s) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 (*.f64 (*.f64 s s) c) x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 c s)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) x) (pow.f64 (*.f64 c s) #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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s x) (*.f64 s x))) (*.f64 c c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 c c)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 s s) x))) (neg.f64 (*.f64 (*.f64 c c) x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c s) x)))) (neg.f64 (*.f64 c s)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c))) (neg.f64 (*.f64 (*.f64 s x) (*.f64 s x))))
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(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) (*.f64 s x)))
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eval74.0ms (1%)

Memory
-1.3MiB live, 44.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 9 747 to 1 201 computations (87.7% saved)

prune34.0ms (0.5%)

Memory
31.3MiB live, 75.0MiB allocated; 6ms collecting garbage
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New33519354
Fresh131427
Picked235
Done101
Total35136387
Accuracy
100.0%
Counts
387 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c s) x))) s) c)
77.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
93.3%
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s 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))
✓65.9%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
75.5%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) (*.f64 s x)))
92.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) s))
52.4%
(/.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))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
59.9%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
71.9%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
75.4%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
▶78.5%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
78.5%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x)))
✓66.4%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
90.9%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c s)) (*.f64 s x)))
▶96.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
75.8%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x))))
84.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) x) x))
58.5%
(/.f64 #s(approx (/ (cos (* 2 x)) (* s s)) (/.f64 #s(literal 1 binary64) (*.f64 s s))) (*.f64 (*.f64 (*.f64 c c) x) x))
65.4%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
▶58.7%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
62.1%
#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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
51.2%
#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 x x) c) s) (*.f64 s c))))
57.3%
#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 (*.f64 c c) x) s) (*.f64 s x))))
60.2%
#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) (*.f64 c s)) (*.f64 c x))))
61.5%
#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 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
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 c x) x) (*.f64 (*.f64 s c) s))))
57.8%
#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(approx (* (* (* s c) s) x) (*.f64 (*.f64 (*.f64 s x) s) c)) (*.f64 c x))))
▶49.0%
#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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))))
45.2%
#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)))
22.0%
#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 (*.f64 s c) s) x) (*.f64 c x))))
✓32.1%
#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 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)))
28.5%
#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) s) (*.f64 c s)) c)))
32.1%
#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 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)))))
▶30.0%
#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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
Compiler

Compiled 1 894 to 1 262 computations (33.4% saved)

simplify101.0ms (1.4%)

Memory
0.2MiB live, 105.9MiB allocated; 51ms collecting garbage
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 x x) c) s) (*.f64 c s)))
cost-diff2
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s))
cost-diff0
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
cost-diff0
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
cost-diff2
(*.f64 (*.f64 (*.f64 s c) c) 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))))
cost-diff2
(*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))
cost-diff3
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))))
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-diff1
(/.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 x x)
cost-diff0
(cos.f64 (+.f64 x x))
cost-diff0
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
cost-diff2
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063383
095379
1230353
2782335
32844332
08329332
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(*.f64 (*.f64 c s) x)
(*.f64 c s)
c
s
#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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))
c
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))
(*.f64 c x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 s c) c) s)
(*.f64 (*.f64 s c) c)
(*.f64 s c)
s
c
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s))
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 x x) c)
(*.f64 x x)
c
s
(*.f64 c s)
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) 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 x x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 c s) x)
(*.f64 (*.f64 s c) x)
(*.f64 c s)
(*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 s c) #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))) (/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))
(/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
(neg.f64 (pow.f64 (*.f64 s c) #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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
c
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (*.f64 s x) x) (*.f64 s c))
(*.f64 c x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 s c) c) s)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 (*.f64 s c) c)
(*.f64 (*.f64 c c) s)
(*.f64 s c)
s
c
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
(/.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 x x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 (*.f64 c x) x) s)
(*.f64 (*.f64 x x) c)
(*.f64 (*.f64 c x) x)
(*.f64 x x)
c
s
(*.f64 c s)
(*.f64 s c)

localize193.0ms (2.7%)

Memory
-4.8MiB live, 223.1MiB allocated; 28ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5361374209288378
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
accuracy3.978820557963167
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s))
accuracy6.331557886504182
(*.f64 (*.f64 x x) c)
accuracy7.064450792060771
(*.f64 (*.f64 (*.f64 x x) c) s)
accuracy0.12109375
(*.f64 (*.f64 s c) c)
accuracy4.365011713202412
(*.f64 (*.f64 (*.f64 s c) c) s)
accuracy6.691174882957384
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
accuracy19.867837992191554
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
accuracy6.705652286220718
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))
accuracy7.860678764555977
(*.f64 (*.f64 s s) x)
accuracy11.263283371718101
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))))
accuracy19.867837992191554
#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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))))
accuracy0.22044300508159717
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))
accuracy16.35145246070943
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
accuracy19.867837992191554
#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)))))
accuracy27.155212898465656
#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))))
accuracy0.0
(cos.f64 (+.f64 x x))
accuracy0.189785009768442
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
accuracy0.5361374209288378
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
accuracy4.521241224210917
(*.f64 (*.f64 c s) x)
Samples
151.0ms256×0valid
Compiler

Compiled 312 to 56 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 68.0ms (53.2% of total)
ival-neg: 17.0ms (13.3% of total)
ival-div: 16.0ms (12.5% of total)
ival-cos: 16.0ms (12.5% of total)
ival-pow2: 7.0ms (5.5% of total)
ival-add: 3.0ms (2.3% of total)
ival-sub: 1.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series75.0ms (1.1%)

Memory
4.7MiB live, 113.1MiB allocated; 13ms collecting garbage
Counts
24 → 33
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
(/.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 (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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))))
(*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 s c) c) s)
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
(*.f64 (*.f64 c s) x)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 s c) c)
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 x x) c)
Outputs
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(/ 1 (pow x 2))
(/ (+ 1 (* -2 (pow x 2))) (pow x 2))
(* c (* s x))
(* (pow s 2) x)
(* c (* (pow s 2) (pow x 2)))
(* c (* s (pow x 2)))
(* c (pow x 2))
(/ (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))))
-2
(- (/ 1 (pow x 2)) 2)
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (neg (* -2 x)))
(* -1 (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))
(/ (- (/ 1 (pow x 2)) 2) (* (pow c 2) (pow s 2)))
(* (pow c 2) s)
Calls

9 calls:

TimeVariablePointExpression
24.0ms
c
@-inf
((* (* (* c s) x) (* (* c s) x)) (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) (* (* (neg s) s) (* c c)) (/ 2 (* (* (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 (* x x)) 1) (* c (* (* c x) (* (* s s) x)))) (* c (* (* c x) (* (* s s) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (* s c) c) s) (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (- (/ (/ 1 x) x) 2) (* (* (* s c) c) s)) (- (/ (/ 1 x) x) 2) (* (* (* (* x x) c) s) (* c s)) (/ (cos (+ x x)) (* (* (* (* x x) c) s) (* c s))) (* (* c s) x) (* (* s s) x) (* (* c x) (* (* s s) x)) (* (* s c) c) (* (* (* x x) c) s) (* (* x x) c))
12.0ms
c
@0
((* (* (* c s) x) (* (* c s) x)) (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) (* (* (neg s) s) (* c c)) (/ 2 (* (* (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 (* x x)) 1) (* c (* (* c x) (* (* s s) x)))) (* c (* (* c x) (* (* s s) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (* s c) c) s) (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (- (/ (/ 1 x) x) 2) (* (* (* s c) c) s)) (- (/ (/ 1 x) x) 2) (* (* (* (* x x) c) s) (* c s)) (/ (cos (+ x x)) (* (* (* (* x x) c) s) (* c s))) (* (* c s) x) (* (* s s) x) (* (* c x) (* (* s s) x)) (* (* s c) c) (* (* (* x x) c) s) (* (* x x) c))
7.0ms
x
@-inf
((* (* (* c s) x) (* (* c s) x)) (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) (* (* (neg s) s) (* c c)) (/ 2 (* (* (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 (* x x)) 1) (* c (* (* c x) (* (* s s) x)))) (* c (* (* c x) (* (* s s) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (* s c) c) s) (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (- (/ (/ 1 x) x) 2) (* (* (* s c) c) s)) (- (/ (/ 1 x) x) 2) (* (* (* (* x x) c) s) (* c s)) (/ (cos (+ x x)) (* (* (* (* x x) c) s) (* c s))) (* (* c s) x) (* (* s s) x) (* (* c x) (* (* s s) x)) (* (* s c) c) (* (* (* x x) c) s) (* (* x x) c))
6.0ms
s
@-inf
((* (* (* c s) x) (* (* c s) x)) (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) (* (* (neg s) s) (* c c)) (/ 2 (* (* (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 (* x x)) 1) (* c (* (* c x) (* (* s s) x)))) (* c (* (* c x) (* (* s s) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (* s c) c) s) (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (- (/ (/ 1 x) x) 2) (* (* (* s c) c) s)) (- (/ (/ 1 x) x) 2) (* (* (* (* x x) c) s) (* c s)) (/ (cos (+ x x)) (* (* (* (* x x) c) s) (* c s))) (* (* c s) x) (* (* s s) x) (* (* c x) (* (* s s) x)) (* (* s c) c) (* (* (* x x) c) s) (* (* x x) c))
6.0ms
s
@inf
((* (* (* c s) x) (* (* c s) x)) (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (cos (+ x x)) (+ x x) (* (* (neg s) s) (* c c)) (/ 2 (* (* (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 (* x x)) 1) (* c (* (* c x) (* (* s s) x)))) (* c (* (* c x) (* (* s s) x))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (* s c) c) s) (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/ (- (/ (/ 1 x) x) 2) (* (* (* s c) c) s)) (- (/ (/ 1 x) x) 2) (* (* (* (* x x) c) s) (* c s)) (/ (cos (+ x x)) (* (* (* (* x x) c) s) (* c s))) (* (* c s) x) (* (* s s) x) (* (* c x) (* (* s s) x)) (* (* s c) c) (* (* (* x x) c) s) (* (* x x) c))

simplify175.0ms (2.5%)

Memory
-9.6MiB live, 179.8MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073431
1209391
2689349
34488349
08257340
Stop Event
1×iter limit
1×node limit
Counts
33 → 33
Calls
Call 1
Inputs
(* (pow c 2) (* (pow s 2) (pow x 2)))
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(/ 1 (pow x 2))
(/ (+ 1 (* -2 (pow x 2))) (pow x 2))
(* c (* s x))
(* (pow s 2) x)
(* c (* (pow s 2) (pow x 2)))
(* c (* s (pow x 2)))
(* c (pow x 2))
(/ (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))))
-2
(- (/ 1 (pow x 2)) 2)
(/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (neg (* -2 x)))
(* -1 (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))
(/ (- (/ 1 (pow x 2)) 2) (* (pow c 2) (pow s 2)))
(* (pow c 2) s)
Outputs
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) c) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) (*.f64 (*.f64 c c) s))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) s) (*.f64 (*.f64 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 s c) (*.f64 s c))) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) (*.f64 (*.f64 c c) 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 c c) s)) (/.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)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -2 (pow x 2))) (pow x 2))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))
(* c (* s x))
(*.f64 (*.f64 x s) c)
(* (pow s 2) x)
(*.f64 (*.f64 x s) s)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 x c) (*.f64 (*.f64 x s) s))
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 x s) x) c)
(* c (pow x 2))
(*.f64 (*.f64 x x) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 x s) x)) 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) s) (*.f64 (*.f64 c 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 s) x)) s)
-2
#s(literal -2 binary64)
(- (/ 1 (pow x 2)) 2)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/ (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 (*.f64 x s) x)) s)
(cos (neg (* -2 x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(* -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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) s) (*.f64 (*.f64 c c) s))
(* (pow c 2) (pow s 2))
(*.f64 (*.f64 s c) (*.f64 s c))
(/ (- (/ 1 (pow x 2)) 2) (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) s) (*.f64 (*.f64 c c) s))
(* (pow c 2) s)
(*.f64 (*.f64 c c) s)

rewrite222.0ms (3.1%)

Memory
14.3MiB live, 257.0MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063319
095293
1318250
21765248
08350248
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 518
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c))
(/.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 (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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))))
(*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 s c) c) s)
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
(*.f64 (*.f64 c s) x)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 s c) c)
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 x x) c)
Outputs
(*.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 c) (*.f64 x s)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 c) (*.f64 x s)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) (neg.f64 c))) c)
(*.f64 (fabs.f64 (*.f64 (*.f64 x (*.f64 s c)) c)) (*.f64 x s))
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(*.f64 (fabs.f64 (*.f64 x c)) s)
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(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x))) (sqrt.f64 c))
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(*.f64 (sqrt.f64 (*.f64 (*.f64 x (*.f64 s c)) s)) (sqrt.f64 (*.f64 x c)))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 c) (*.f64 x s)))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 c) (*.f64 x s)))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 c) (*.f64 x s))) (sqrt.f64 (*.f64 (neg.f64 c) (*.f64 x s))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c c) s)) (sqrt.f64 (*.f64 s (*.f64 x x))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x c) c)) (sqrt.f64 (*.f64 (*.f64 s s) x)))
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(*.f64 (sqrt.f64 (*.f64 (*.f64 s s) x)) (sqrt.f64 (*.f64 (*.f64 x c) c)))
(*.f64 (sqrt.f64 (*.f64 x c)) (sqrt.f64 (*.f64 (*.f64 (*.f64 s s) x) c)))
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(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) s))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
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(*.f64 (pow.f64 (*.f64 x s) #s(literal 1 binary64)) c)
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(*.f64 (sqrt.f64 s) (sqrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x c) x) s) c)))
(*.f64 (sqrt.f64 (*.f64 s c)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x c) x) s)))
(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 (*.f64 x s) (*.f64 x (*.f64 s c)))))
(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 s c) s))))
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(*.f64 (*.f64 x c) s)
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(sqrt.f64 (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
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(fabs.f64 (*.f64 (neg.f64 c) (*.f64 x s)))
(fabs.f64 (*.f64 x (*.f64 s c)))
(exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (*.f64 s c))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 s c))) #s(literal 1 binary64)))
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(pow.f64 (*.f64 (*.f64 c c) s) #s(literal 1 binary64))
(fabs.f64 (*.f64 (*.f64 c c) (neg.f64 s)))
(fabs.f64 (*.f64 (*.f64 c c) s))
(exp.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (log.f64 s)))
(exp.f64 (+.f64 (log.f64 (*.f64 s c)) (log.f64 c)))
(exp.f64 (+.f64 (log.f64 s) (*.f64 (log.f64 c) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 c) (log.f64 (*.f64 s c))))
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(*.f64 (*.f64 s (*.f64 x x)) c)
(*.f64 (*.f64 x s) (*.f64 x c))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 c) (*.f64 x s)))
(*.f64 (*.f64 (*.f64 x c) x) s)
(*.f64 (*.f64 x c) (*.f64 x s))
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(*.f64 (*.f64 s c) (*.f64 x x))
(*.f64 s (*.f64 (*.f64 x c) x))
(*.f64 c (*.f64 (*.f64 x x) s))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (*.f64 s c))))
(exp.f64 (+.f64 (log.f64 (*.f64 s c)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 c (neg.f64 x)) (neg.f64 x))
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(*.f64 (*.f64 x c) x)
(*.f64 (*.f64 x x) c)
(*.f64 x (*.f64 x c))
(*.f64 c (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 c)))
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eval205.0ms (2.9%)

Memory
3.8MiB live, 274.9MiB allocated; 36ms collecting garbage
Compiler

Compiled 58 254 to 5 439 computations (90.7% saved)

prune78.0ms (1.1%)

Memory
-21.0MiB live, 170.6MiB allocated; 28ms collecting garbage
Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New1 528221 550
Fresh151328
Picked235
Done213
Total1 547391 586
Accuracy
100.0%
Counts
1 586 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c s) x))) s) c)
77.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
93.3%
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s 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))
✓65.9%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
92.3%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) s))
59.9%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
75.4%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
✓78.5%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
78.5%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x)))
94.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) s) (*.f64 x c)))
91.9%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) c) (*.f64 x s)))
✓96.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
97.1%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (neg.f64 c) (*.f64 x s)) (*.f64 (neg.f64 c) (*.f64 x s))))
87.4%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) s))))
54.0%
(/.f64 #s(approx (cos (+ x 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 c s) x) (*.f64 (*.f64 c s) x)))
51.2%
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
66.5%
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
76.7%
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
67.0%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 s c) c) s)))
58.7%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)))
27.0%
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
64.0%
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) (*.f64 (*.f64 c c) s)))
62.1%
#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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
57.3%
#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 (*.f64 c c) x) s) (*.f64 s x))))
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 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 x s)))))
59.2%
#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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 x s) s)))))
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 c (*.f64 s (*.f64 (*.f64 (*.f64 x c) x) s)))))
62.0%
#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 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c))
45.2%
#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)))
22.0%
#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 (*.f64 s c) s) x) (*.f64 c x))))
22.1%
#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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))))
29.2%
#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))))
32.1%
#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 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 (*.f64 c c) s))))
32.1%
#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 (neg.f64 s) s) c) c))))
26.9%
#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))))
✓30.0%
#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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
27.0%
#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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 s c)))))
Compiler

Compiled 3 445 to 1 114 computations (67.7% saved)

regimes160.0ms (2.2%)

Memory
15.4MiB live, 194.7MiB allocated; 24ms collecting garbage
Counts
87 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 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 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 (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 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 (/.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)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 #s(approx (/ (cos (* 2 x)) (* s s)) (/.f64 #s(literal 1 binary64) (*.f64 s s))) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (-.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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) 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 (*.f64 s c) s) 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 c (*.f64 s (*.f64 (*.f64 (*.f64 x 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 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 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 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 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 #s(approx (* (* (* s c) s) x) (*.f64 (*.f64 (*.f64 s x) s) 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 c x) x) (*.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 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 x) (*.f64 c s)) (*.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 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 c c) x) s) (*.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)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (*.f64 x x) c) s) (*.f64 s c))))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
#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)))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) (*.f64 (*.f64 c c) s)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
(/.f64 #s(approx (cos (+ x 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.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))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
#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 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c s)) (*.f64 s x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) c) (*.f64 x s)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) s) (*.f64 x c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
(/.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 (*.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 s s) x) (*.f64 (*.f64 c x) c)))
(/.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) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (neg.f64 c) (*.f64 x s)) (*.f64 (neg.f64 c) (*.f64 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 (pow.f64 (*.f64 x s) #s(literal 2 binary64)) c)) c))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) c) s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) (*.f64 s x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
#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))
(/.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)) (*.f64 s x)) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c s) x))) s) c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) (sqrt.f64 c)) (sqrt.f64 c)))
(/.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 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) 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)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(+.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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (neg.f64 c) (*.f64 x s)) (*.f64 (neg.f64 c) (*.f64 x s))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

53.0ms
x
24.0ms
(pow.f64 s #s(literal 2 binary64))
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)))
20.0ms
c
20.0ms
s
Results
AccuracySegmentsBranch
97.1%1(pow.f64 s #s(literal 2 binary64))
97.1%1(pow.f64 c #s(literal 2 binary64))
99.0%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
97.1%1x
97.1%1c
97.1%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes112.0ms (1.6%)

Memory
-29.1MiB live, 136.7MiB allocated; 24ms collecting garbage
Counts
62 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 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 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 (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 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 (/.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)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 #s(approx (/ (cos (* 2 x)) (* s s)) (/.f64 #s(literal 1 binary64) (*.f64 s s))) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (-.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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) 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 (*.f64 s c) s) 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 c (*.f64 s (*.f64 (*.f64 (*.f64 x 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 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 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 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 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 #s(approx (* (* (* s c) s) x) (*.f64 (*.f64 (*.f64 s x) s) 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 c x) x) (*.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 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 x) (*.f64 c s)) (*.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 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 c c) x) s) (*.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)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (*.f64 x x) c) s) (*.f64 s c))))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
#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)))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) (*.f64 (*.f64 c c) s)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
(/.f64 #s(approx (cos (+ x 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.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))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
#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 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c x) (*.f64 c s)) (*.f64 s x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) c) (*.f64 x s)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 s c)) s) (*.f64 x c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
(/.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 (*.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 s s) x) (*.f64 (*.f64 c x) c)))
(/.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) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

35.0ms
c
18.0ms
s
15.0ms
x
14.0ms
(pow.f64 s #s(literal 2 binary64))
13.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.7%2x
96.1%1s
96.1%1(pow.f64 s #s(literal 2 binary64))
96.1%1(pow.f64 c #s(literal 2 binary64))
96.1%1c
96.1%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes121.0ms (1.7%)

Memory
26.4MiB live, 166.8MiB allocated; 18ms collecting garbage
Counts
47 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 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 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 (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 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 (/.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)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 #s(approx (/ (cos (* 2 x)) (* s s)) (/.f64 #s(literal 1 binary64) (*.f64 s s))) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (-.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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) 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 (*.f64 s c) s) 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 c (*.f64 s (*.f64 (*.f64 (*.f64 x 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 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 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 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 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 #s(approx (* (* (* s c) s) x) (*.f64 (*.f64 (*.f64 s x) s) 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 c x) x) (*.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 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 x) (*.f64 c s)) (*.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 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 c c) x) s) (*.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)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (*.f64 x x) c) s) (*.f64 s c))))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
#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)))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) (*.f64 (*.f64 c c) s)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
(/.f64 #s(approx (cos (+ x 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.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))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
#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 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) s))))
Calls

6 calls:

38.0ms
(/.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)))
33.0ms
(pow.f64 c #s(literal 2 binary64))
13.0ms
s
12.0ms
c
12.0ms
x
Results
AccuracySegmentsBranch
89.6%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)))
87.4%1(pow.f64 s #s(literal 2 binary64))
91.3%2(pow.f64 c #s(literal 2 binary64))
91.3%2c
90.0%2s
95.3%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes102.0ms (1.4%)

Memory
-8.1MiB live, 137.1MiB allocated; 16ms collecting garbage
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 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 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 (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 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 (/.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)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 #s(approx (/ (cos (* 2 x)) (* s s)) (/.f64 #s(literal 1 binary64) (*.f64 s s))) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (-.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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) 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 (*.f64 s c) s) 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 c (*.f64 s (*.f64 (*.f64 (*.f64 x 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 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 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 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 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 #s(approx (* (* (* s c) s) x) (*.f64 (*.f64 (*.f64 s x) s) 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 c x) x) (*.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 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 x) (*.f64 c s)) (*.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 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 c c) x) s) (*.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)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (*.f64 x x) c) s) (*.f64 s c))))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
#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)))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) (*.f64 (*.f64 c c) s)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
(/.f64 #s(approx (cos (+ x 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.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))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
#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 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x))))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x))))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

40.0ms
(/.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
x
12.0ms
(pow.f64 c #s(literal 2 binary64))
11.0ms
s
11.0ms
c
Results
AccuracySegmentsBranch
82.7%2(pow.f64 s #s(literal 2 binary64))
81.9%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
82.7%2s
80.5%2(pow.f64 c #s(literal 2 binary64))
80.5%2c
83.9%3x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes129.0ms (1.8%)

Memory
-3.0MiB live, 133.4MiB allocated; 9ms collecting garbage
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 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 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 (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 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 (/.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)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 #s(approx (/ (cos (* 2 x)) (* s s)) (/.f64 #s(literal 1 binary64) (*.f64 s s))) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (-.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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) 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 (*.f64 s c) s) 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 c (*.f64 s (*.f64 (*.f64 (*.f64 x 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 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 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 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 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 #s(approx (* (* (* s c) s) x) (*.f64 (*.f64 (*.f64 s x) s) 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 c x) x) (*.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 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 x) (*.f64 c s)) (*.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 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 c c) x) s) (*.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)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (*.f64 x x) c) s) (*.f64 s c))))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
#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)))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) (*.f64 (*.f64 c c) s)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
(/.f64 #s(approx (cos (+ x 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.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))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
#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 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

41.0ms
x
31.0ms
s
24.0ms
(pow.f64 c #s(literal 2 binary64))
11.0ms
c
10.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
76.7%1(pow.f64 c #s(literal 2 binary64))
76.7%1c
78.9%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
79.3%2x
76.7%1(pow.f64 s #s(literal 2 binary64))
76.7%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes26.0ms (0.4%)

Memory
-8.4MiB live, 47.0MiB allocated; 6ms collecting garbage
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 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 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 (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 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 (/.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)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 #s(approx (/ (cos (* 2 x)) (* s s)) (/.f64 #s(literal 1 binary64) (*.f64 s s))) (*.f64 (*.f64 (*.f64 c c) x) x))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s s) x) x)) (*.f64 c c))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) (-.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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) 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 (*.f64 s c) s) 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 c (*.f64 s (*.f64 (*.f64 (*.f64 x 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s 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 c (*.f64 (*.f64 c x) (*.f64 (*.f64 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 c (*.f64 (*.f64 x (*.f64 s c)) (*.f64 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 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 #s(approx (* (* (* s c) s) x) (*.f64 (*.f64 (*.f64 s x) s) 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 c x) x) (*.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 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 x) (*.f64 c s)) (*.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 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 c c) x) s) (*.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)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (*.f64 x x) c) s) (*.f64 s c))))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
#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)))
#s(approx (/ (cos (+ x x)) (* (* (* c s) x) (* (* c s) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) s) (*.f64 (*.f64 c c) s)))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s c) s)) (*.f64 (*.f64 x x) c)))
(/.f64 #s(approx (cos (+ x 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 c s) x) (*.f64 (*.f64 c s) x)))
(/.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))) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
#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 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
Outputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

2 calls:

13.0ms
(/.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)))
11.0ms
x
Results
AccuracySegmentsBranch
78.9%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
76.7%1x
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes18.0ms (0.3%)

Memory
35.2MiB live, 35.2MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 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 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:

3.0ms
x
3.0ms
s
3.0ms
c
3.0ms
(pow.f64 s #s(literal 2 binary64))
3.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
32.1%1(pow.f64 c #s(literal 2 binary64))
32.1%1(pow.f64 s #s(literal 2 binary64))
32.1%1c
32.1%1s
32.1%1x
32.1%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes13.0ms (0.2%)

Memory
-25.3MiB live, 19.0MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 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) (*.f64 (*.f64 (neg.f64 s) s) (*.f64 c c)))))
Calls

6 calls:

3.0ms
(pow.f64 c #s(literal 2 binary64))
2.0ms
s
2.0ms
x
2.0ms
c
2.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
30.0%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)))
30.0%1(pow.f64 s #s(literal 2 binary64))
30.0%1s
30.0%1c
30.0%1(pow.f64 c #s(literal 2 binary64))
30.0%1x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes8.0ms (0.1%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 s c)))))
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 (neg.f64 s) c) (*.f64 s c)))))
Calls

6 calls:

1.0ms
s
1.0ms
(pow.f64 s #s(literal 2 binary64))
1.0ms
c
1.0ms
x
1.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
27.0%1c
27.0%1(pow.f64 c #s(literal 2 binary64))
27.0%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)))
27.0%1(pow.f64 s #s(literal 2 binary64))
27.0%1x
27.0%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes8.0ms (0.1%)

Memory
-23.0MiB live, 22.0MiB allocated; 2ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

3.0ms
(pow.f64 s #s(literal 2 binary64))
1.0ms
c
1.0ms
s
1.0ms
x
1.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
27.0%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)))
27.0%1c
27.0%1s
27.0%1(pow.f64 s #s(literal 2 binary64))
27.0%1(pow.f64 c #s(literal 2 binary64))
27.0%1x
Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.0
5.466313156629171e-268
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch16.0ms (0.2%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
3.842636257086257e-189
1.3390483471396422e-187
Samples
9.0ms112×0valid
Compiler

Compiled 362 to 256 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (48.4% of total)
ival-pow2: 2.0ms (32.3% of total)
ival-div: 1.0ms (16.1% of total)
ival-cos: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
-15.8MiB live, 28.4MiB allocated; 5ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.6503746339455376e-76
4.055017000650476e-75
Samples
8.0ms96×0valid
Compiler

Compiled 313 to 234 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (38.3% of total)
ival-pow2: 2.0ms (38.3% of total)
ival-div: 1.0ms (19.1% of total)
ival-cos: 1.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
5.528512801669695e+99
1.1697836672340973e+101
Samples
11.0ms112×0valid
Compiler

Compiled 257 to 186 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (38.6% of total)
ival-mult: 3.0ms (38.6% of total)
ival-pow2: 2.0ms (25.7% of total)
ival-div: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.842636257086257e-189
1.3390483471396422e-187
Compiler

Compiled 376 to 270 computations (28.2% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.202644727336584e-229
-0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify55.0ms (0.8%)

Memory
-31.7MiB live, 73.1MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0111494
1182474
2445468
33375468
Stop Event
1×node limit
Calls
Call 1
Inputs
(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 0 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (neg.f64 c) (*.f64 x s)) (*.f64 (neg.f64 c) (*.f64 x s)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 7681449031110713/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 7537033112437599/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) s)))))
(if (<=.f64 s #s(literal 16999999999999999687548481198199885520374802511651306369906205132529469537145924881711613414394036224 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 7681449031110713/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5462437423415177/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) #s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #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) (*.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) c) (*.f64 s c)))))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))
Outputs
(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 0 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (neg.f64 c) (*.f64 x s)) (*.f64 (neg.f64 c) (*.f64 x s)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal 0 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c (*.f64 x s)) (*.f64 c (*.f64 x s)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 7681449031110713/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 7537033112437599/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 x (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) s)))))
(if (<=.f64 s #s(literal 16999999999999999687548481198199885520374802511651306369906205132529469537145924881711613414394036224 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 7681449031110713/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568 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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -5462437423415177/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) #s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))) (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #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) (*.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 (neg.f64 #s(literal 2 binary64)) (*.f64 (*.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) c) (*.f64 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 (neg.f64 #s(literal 2 binary64)) (*.f64 (*.f64 s c) (*.f64 s c)))))
#s(approx (/ (/ (cos (* -2 x)) x) (* (pow (* c s) 2) x)) (/.f64 #s(approx (- (/ (/ 1 x) x) 2) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)))

derivations835.0ms (11.7%)

Memory
-1.5MiB live, 766.2MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088512
1245472
2873444
36041428
08562410
050222
1144206
2519188
33912184
08363174
042216
070214
1221178
01141178
01246
02046
15946
226142
0256342
073431
1209391
2689349
34488349
08257340
055294
085294
1263262
01381262
063319
095293
1318250
21765248
08350248
Stop Event
1×fuel
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×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 492 to 114 computations (76.8% saved)

preprocess128.0ms (1.8%)

Memory
14.6MiB live, 205.1MiB allocated; 16ms collecting garbage
Remove

(abs x)

(abs s)

Compiler

Compiled 2 852 to 1 152 computations (59.6% saved)

end0.0ms (0%)

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

Profiling

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