mixedcos

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze176.0ms (2.3%)

Memory
16.6MiB live, 247.6MiB allocated; 60ms 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 (17.2%)

Memory
42.3MiB live, 1 463.5MiB allocated; 335ms collecting garbage
Samples
947.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 679.0ms
ival-pow2: 217.0ms (32% of total)
ival-mult: 205.0ms (30.2% of total)
ival-cos: 189.0ms (27.8% of total)
ival-div: 51.0ms (7.5% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.7% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain171.0ms (2.2%)

Memory
-5.4MiB live, 183.2MiB allocated; 17ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
650-0-(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
330-0-(*.f64 x (pow.f64 s #s(literal 2 binary64)))
150-2(8.513332052301018e+103 2.6307566230496493e-152 -9.892902519904524e-212)(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
10-0-(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
00-0-(pow.f64 c #s(literal 2 binary64))
00-0-(*.f64 #s(literal 2 binary64) x)
0132(1.310023928700813e+121 -7.149822956019342e+289 -12149030.350591687)0-(cos.f64 (*.f64 #s(literal 2 binary64) x))
00-0-s
00-0-c
00-0-#s(literal 2 binary64)
00-0-x
00-0-(pow.f64 s #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (*.f64 #s(literal 2 binary64) x))sensitivity1320
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))u*o230
↳(pow.f64 c #s(literal 2 binary64))underflow68
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow79
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow65
↳(pow.f64 s #s(literal 2 binary64))overflow62
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*u180
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u170
↳(pow.f64 c #s(literal 2 binary64))overflow53
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow79
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow67
↳(pow.f64 s #s(literal 2 binary64))underflow67
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*o150
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*o150
*.f64(*.f64 (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*o70
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*u60
/.f64(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))n/o10
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow79
↳(pow.f64 c #s(literal 2 binary64))overflow53
↳(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))overflow74
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow65
↳(pow.f64 s #s(literal 2 binary64))overflow62
Confusion
Predicted +Predicted -
+890
-9770
Precision
0.478494623655914
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8900
-97070
Precision?
0.478494623655914
Recall?
1.0
Freqs
test
numberfreq
070
1131
252
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms512×0valid
Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 14.0ms (35.7% of total)
ival-cos: 11.0ms (28.1% of total)
ival-pow2: 10.0ms (25.5% of total)
ival-div: 3.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess157.0ms (2%)

Memory
18.6MiB live, 150.1MiB allocated; 27ms 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)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.2%
(/.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)

simplify116.0ms (1.5%)

Memory
2.6MiB live, 105.0MiB allocated; 11ms 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

localize39.0ms (0.5%)

Memory
6.8MiB live, 52.1MiB allocated; 6ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.29877659152147706
(/.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)))
accuracy2.5648788304635906
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy7.591011650515049
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy15.827588726226447
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
Samples
31.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (42% of total)
ival-cos: 6.0ms (28% of total)
ival-pow2: 4.0ms (18.7% of total)
ival-div: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-19.8MiB live, 25.9MiB allocated; 7ms 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
6.0ms
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
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
s
@inf
((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) (* (pow c 2) (* (* x (pow s 2)) x)) (* x (pow s 2)) (* (* x (pow s 2)) x))
3.0ms
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))

simplify175.0ms (2.2%)

Memory
-3.4MiB live, 131.9MiB allocated; 29ms 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))

rewrite409.0ms (5.3%)

Memory
-16.7MiB live, 137.3MiB allocated; 742ms 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)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) x) (*.f64 s s))
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(fma.f64 (*.f64 x x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))

eval60.0ms (0.8%)

Memory
-9.1MiB live, 35.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 6 488 to 894 computations (86.2% saved)

prune42.0ms (0.5%)

Memory
-4.3MiB live, 41.6MiB allocated; 6ms collecting garbage
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New24723270
Fresh000
Picked101
Done000
Total24823271
Accuracy
99.6%
Counts
271 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.7%
(fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x 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))))
70.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) c) c)
77.2%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s)
88.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
▶70.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
67.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s s) x)) (*.f64 (*.f64 c c) x))
▶88.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
▶76.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
73.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 s x)) s)))
87.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
70.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
77.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
77.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
▶67.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
76.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
74.2%
(/.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))))
58.5%
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
88.1%
(*.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))
67.1%
(*.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)))
▶45.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
43.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
74.2%
#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))
57.5%
#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 978 to 666 computations (31.9% saved)

simplify99.0ms (1.3%)

Memory
8.8MiB live, 149.5MiB allocated; 38ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 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 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
cost-diff2
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) 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
043302
072300
1165288
2563282
33771282
08509282
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 (*.f64 s s) x) x) c)) c)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 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)) (*.f64 x x))
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(*.f64 c s)
c
s
(*.f64 x x)
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 (*.f64 s s) x) x) 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 (*.f64 s s) x) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(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 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 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 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) 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
(*.f64 x x)

localize169.0ms (2.2%)

Memory
4.8MiB live, 239.9MiB allocated; 38ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy0.209316259768442
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy0.29877659152147706
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
accuracy14.823761795584518
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
accuracy2.5648788304635906
(*.f64 (*.f64 (*.f64 s s) x) x)
accuracy4.997911840582073
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
accuracy5.80056780407121
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
accuracy7.591011650515049
(*.f64 (*.f64 s s) x)
accuracy0.29877659152147706
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
accuracy7.591011650515049
(*.f64 (*.f64 s s) x)
accuracy7.645523247225307
(*.f64 (*.f64 c c) x)
accuracy11.073195291506156
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
accuracy7.05207724129836
(*.f64 (*.f64 x x) c)
accuracy11.645366964598805
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
accuracy13.943500015159541
(/.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)))
accuracy21.776790449586834
#s(approx (/ (cos (* 2 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))))
accuracy0.125
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)
accuracy0.209316259768442
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy3.3934367058721353
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
accuracy3.9931962535682066
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
Samples
139.0ms256×0valid
Compiler

Compiled 287 to 43 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 78.0ms (72.1% of total)
ival-div: 11.0ms (10.2% of total)
ival-cos: 11.0ms (10.2% of total)
ival-pow2: 7.0ms (6.5% of total)
ival-add: 1.0ms (0.9% 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)

series82.0ms (1.1%)

Memory
-10.7MiB live, 94.7MiB allocated; 23ms collecting garbage
Counts
23 → 37
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 (*.f64 s s) x) x) c)) c)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.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 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ 1 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 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (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)
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) 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)) (* c (* (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
36.0ms
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) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
9.0ms
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) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
8.0ms
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) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* 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) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))
5.0ms
c
@-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) c)) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (pow (* c s) 2) (* (* x x) c) (* (* c c) x) (* (* s s) x) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x))

simplify191.0ms (2.5%)

Memory
-8.7MiB live, 186.8MiB allocated; 40ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090543
1255499
2935467
36413451
08864433
Stop Event
1×iter limit
1×node limit
Counts
37 → 37
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 (* c (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (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)
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) 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)) (* c (* (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 (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 s s)) c)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c (pow s 2)))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (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 s) c)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c (pow s 2)))) (* 2/3 (/ 1 (* c (pow s 2)))))) (* 2 (/ 1 (* c (pow s 2)))))) (/ 1 (* c (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 s c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) s) (*.f64 s c))) (*.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)
(* c (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)
(* (pow s 2) (pow x 2))
(*.f64 (*.f64 (*.f64 s x) x) s)
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 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 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s 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)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c)) 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 s c) c) s))
(* (pow c 2) (pow s 2))
(*.f64 (*.f64 (*.f64 s c) c) s)

rewrite60.0ms (0.8%)

Memory
9.7MiB live, 56.8MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043227
072225
1222187
01150187
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
23 → 505
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 (*.f64 s s) x) x) c)) c)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(*.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 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.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 c) #s(literal 2 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.f64 (/.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))))
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(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c x))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))
(*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x))
(*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))
(*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 x (*.f64 (*.f64 s s) (*.f64 c x)))
(*.f64 x (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 (*.f64 s s) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 s s) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 s) (neg.f64 x)) (*.f64 (neg.f64 s) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 s) (fabs.f64 x)) (*.f64 (neg.f64 s) (fabs.f64 x)))
(*.f64 (*.f64 (neg.f64 s) x) (*.f64 (neg.f64 s) x))
(*.f64 (*.f64 (fabs.f64 s) (neg.f64 x)) (*.f64 (fabs.f64 s) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 s) (fabs.f64 x)) (*.f64 (fabs.f64 s) (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 s) x) (*.f64 (fabs.f64 s) x))
(*.f64 (*.f64 s (neg.f64 x)) (*.f64 s (neg.f64 x)))
(*.f64 (*.f64 s (fabs.f64 x)) (*.f64 s (fabs.f64 x)))
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) (*.f64 x x)))
(*.f64 (fabs.f64 s) (*.f64 (fabs.f64 s) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 s s) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 s s))
(*.f64 s (*.f64 (*.f64 s x) x))
(*.f64 s (*.f64 s (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 s s) x))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))

eval41.0ms (0.5%)

Memory
18.2MiB live, 64.5MiB allocated; 2ms collecting garbage
Compiler

Compiled 10 037 to 1 330 computations (86.7% saved)

prune36.0ms (0.5%)

Memory
-38.0MiB live, 60.4MiB allocated; 8ms collecting garbage
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New37029399
Fresh12618
Picked505
Done000
Total38735422
Accuracy
100.0%
Counts
422 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) c) c)
76.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
66.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
74.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 c x))) c)
86.5%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))) c)
84.6%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x))
84.9%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) x))
93.6%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 x (*.f64 s c)) (*.f64 s c)))
61.4%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
72.3%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
67.2%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
▶96.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
▶74.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
77.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
74.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c)))
76.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
74.2%
(/.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))))
62.6%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
62.7%
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))))
60.9%
#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))
54.2%
#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)))
53.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
56.1%
#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)))
▶54.8%
#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 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)))
▶46.8%
#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 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)))
44.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
51.0%
#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 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
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 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
52.6%
#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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
47.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 (*.f64 x x) (*.f64 (*.f64 s c) s)))))
43.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
45.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 x x)) s) (*.f64 s c)))
57.5%
#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)))
15.2%
#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))))
▶22.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
Compiler

Compiled 1 794 to 1 216 computations (32.2% saved)

simplify215.0ms (2.8%)

Memory
-6.2MiB live, 85.8MiB allocated; 13ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
cost-diff2
(*.f64 (*.f64 (*.f64 s c) s) c)
cost-diff2
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.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 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)))
cost-diff1
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
cost-diff2
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) 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 (*.f64 x x) c) s) c) s)))
cost-diff1
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s))
cost-diff4
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 s c))
cost-diff0
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s 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 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
cost-diff2
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
cost-diff0
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))
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)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049374
074344
1161320
2516314
31949314
47173314
08167314
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (*.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
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))
(*.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 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
(/.f64 #s(literal -2 binary64) (*.f64 s c))
#s(literal -2 binary64)
(*.f64 s c)
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 (*.f64 x x) c) s) c) s)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) 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 (*.f64 (*.f64 x x) c) s) c) s)
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 x x) c)
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 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) 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 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 s c)
s
c
#s(literal 2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))
(*.f64 (*.f64 (*.f64 s c) s) c)
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
c
(*.f64 x x)
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))
(*.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 #s(literal -2 binary64) (*.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) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
(/.f64 #s(literal -2 binary64) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 s c))
(/.f64 #s(literal -2 binary64) (*.f64 c s))
#s(literal -2 binary64)
(*.f64 s c)
(*.f64 c 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 (*.f64 x x) c) 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 c s) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 x x) c)
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 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(*.f64 s c)
(*.f64 c s)
s
c
#s(literal 2 binary64)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 s c) s) c)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(*.f64 (*.f64 s c) s)
(*.f64 (*.f64 s s) c)
(*.f64 s c)
(*.f64 c s)
s
c
(*.f64 x x)

localize117.0ms (1.5%)

Memory
48.5MiB live, 142.1MiB allocated; 16ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(*.f64 (*.f64 s c) s)
accuracy0.29877659152147706
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
accuracy3.1201736798253146
(*.f64 (*.f64 (*.f64 s c) s) c)
accuracy14.823761795584518
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))
accuracy3.3934367058721353
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
accuracy3.95536130697795
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
accuracy13.943500015159541
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
accuracy21.776790449586834
#s(approx (/ (cos (* 2 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 c) #s(literal 2 binary64)) x) x)))
accuracy7.05207724129836
(*.f64 (*.f64 x x) c)
accuracy7.154707084604541
(*.f64 (*.f64 (*.f64 x x) c) s)
accuracy13.943500015159541
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s))
accuracy21.776790449586834
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)))
accuracy0.13347626953688402
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))
accuracy0.9984414395917867
(/.f64 #s(literal -2 binary64) (*.f64 s c))
accuracy21.776790449586834
#s(approx (/ (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 s c)) (*.f64 s c))))
accuracy27.887536237472602
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
accuracy0.0
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy0.146816259768442
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))
accuracy0.29877659152147706
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
accuracy5.675152771181563
(*.f64 x (*.f64 s c))
Samples
86.0ms256×0valid
Compiler

Compiled 306 to 40 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 24.0ms (36.9% of total)
ival-cos: 15.0ms (23.1% of total)
ival-pow2: 13.0ms (20% of total)
ival-div: 11.0ms (16.9% of total)
ival-add: 1.0ms (1.5% 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)

series196.0ms (2.5%)

Memory
-25.9MiB live, 65.1MiB allocated; 10ms collecting garbage
Counts
23 → 24
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
(/.f64 #s(literal -2 binary64) (*.f64 s c))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) 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 (*.f64 x x) c) s) c) s)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)))
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))
(*.f64 (*.f64 (*.f64 s c) s) c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 x x) c)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(*.f64 (*.f64 s c) s)
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)))
(* c (* s x))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* (pow c 2) (* (pow s 2) x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* c s))
(* (pow c 2) (pow s 2))
(* c (pow s 2))
Calls

9 calls:

TimeVariablePointExpression
113.0ms
x
@0
((/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (cos (* 2 x)) (* 2 x) (pow (* x (* s c)) 2) (/ (/ -2 (* s c)) (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ -2 (* s c)) (* (* (* (* (* x x) c) s) c) s) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* x x) c) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* (* s c) s) c) (* x x)) (* (* (* s c) s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) c) (* x x))) (* x (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* (pow (* s c) 2) x) (* (* s c) s))
51.0ms
s
@inf
((/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (cos (* 2 x)) (* 2 x) (pow (* x (* s c)) 2) (/ (/ -2 (* s c)) (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ -2 (* s c)) (* (* (* (* (* x x) c) s) c) s) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* x x) c) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* (* s c) s) c) (* x x)) (* (* (* s c) s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) c) (* x x))) (* x (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* (pow (* s c) 2) x) (* (* s c) s))
5.0ms
c
@inf
((/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (cos (* 2 x)) (* 2 x) (pow (* x (* s c)) 2) (/ (/ -2 (* s c)) (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ -2 (* s c)) (* (* (* (* (* x x) c) s) c) s) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* x x) c) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* (* s c) s) c) (* x x)) (* (* (* s c) s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) c) (* x x))) (* x (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* (pow (* s c) 2) x) (* (* s c) s))
5.0ms
c
@-inf
((/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (cos (* 2 x)) (* 2 x) (pow (* x (* s c)) 2) (/ (/ -2 (* s c)) (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ -2 (* s c)) (* (* (* (* (* x x) c) s) c) s) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* x x) c) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* (* s c) s) c) (* x x)) (* (* (* s c) s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) c) (* x x))) (* x (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* (pow (* s c) 2) x) (* (* s c) s))
5.0ms
s
@-inf
((/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (cos (* 2 x)) (* 2 x) (pow (* x (* s c)) 2) (/ (/ -2 (* s c)) (* s c)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ -2 (* s c)) (* (* (* (* (* x x) c) s) c) s) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* x x) c) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x) (/ (+ (* -2 (* x x)) 1) (* (* (pow (* s c) 2) x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (* (* (* (* s c) s) c) (* x x)) (* (* (* s c) s) c) (/ (cos (* 2 x)) (* (* (* (* s c) s) c) (* x x))) (* x (* s c)) (* (* (* x x) c) s) (* (* x x) c) (* (pow (* s c) 2) x) (* (* s c) s))

simplify190.0ms (2.4%)

Memory
40.4MiB live, 221.5MiB allocated; 31ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065332
1180300
2617282
34278270
08568261
Stop Event
1×iter limit
1×node limit
Counts
24 → 24
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)))
(* c (* s x))
(* c (* s (pow x 2)))
(* c (pow x 2))
(* (pow c 2) (* (pow s 2) x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* c s))
(* (pow c 2) (pow s 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 x) c) x)) s) s)
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 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 x) c) 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 c s) s)) (/.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
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* c (pow x 2))
(*.f64 (*.f64 x x) c)
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) 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) s)) 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 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s))
(/ -2 (* c s))
(/.f64 #s(literal -2 binary64) (*.f64 c s))
(* (pow c 2) (pow s 2))
(*.f64 (*.f64 (*.f64 c s) c) s)
(* c (pow s 2))
(*.f64 (*.f64 c s) s)

rewrite310.0ms (4%)

Memory
-55.9MiB live, 348.8MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049304
074262
1224250
21053250
08185250
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 703
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c)))
(/.f64 #s(literal -2 binary64) (*.f64 s c))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) 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 (*.f64 x x) c) s) c) s)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)))
(*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))
(*.f64 (*.f64 (*.f64 s c) s) c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 x x) c)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(*.f64 (*.f64 s c) s)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c))) (neg.f64 s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) c) s))) (*.f64 (neg.f64 c) s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) c))) (*.f64 (neg.f64 c) (*.f64 s s)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x))) (neg.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) s)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) c) s) c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) x)) (*.f64 (neg.f64 x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c)) (*.f64 (*.f64 s s) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c)) x)) (neg.f64 (*.f64 (*.f64 s s) x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (*.f64 (neg.f64 c) c))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s s) c))) (*.f64 (*.f64 (neg.f64 x) x) c))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x) x)
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)) s)
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) c)) (*.f64 (*.f64 s s) c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) (-.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) (fabs.f64 (sin.f64 x))) (-.f64 (neg.f64 (cos.f64 x)) (fabs.f64 (sin.f64 x))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) (-.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (+.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (sin.f64 x))) (-.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (sin.f64 x))))
(*.f64 (+.f64 (fabs.f64 (cos.f64 x)) (sin.f64 x)) (-.f64 (fabs.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
(*.f64 (+.f64 (cos.f64 x) (fabs.f64 (sin.f64 x))) (-.f64 (cos.f64 x) (fabs.f64 (sin.f64 x))))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 x)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 (cos.f64 x))) (neg.f64 (fabs.f64 (cos.f64 x))) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (fabs.f64 (cos.f64 x))) (neg.f64 (fabs.f64 (cos.f64 x))) (*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (fabs.f64 (cos.f64 x))) (neg.f64 (fabs.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (fabs.f64 (cos.f64 x))) (neg.f64 (fabs.f64 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (fabs.f64 (cos.f64 x))) (fabs.f64 (fabs.f64 (cos.f64 x))) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))))
(fma.f64 (fabs.f64 (fabs.f64 (cos.f64 x))) (fabs.f64 (fabs.f64 (cos.f64 x))) (*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x))))
(fma.f64 (fabs.f64 (fabs.f64 (cos.f64 x))) (fabs.f64 (fabs.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (fabs.f64 (fabs.f64 (cos.f64 x))) (fabs.f64 (fabs.f64 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x))))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
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(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) c)) (*.f64 (*.f64 s s) c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
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(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) s) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 x x) c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
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(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
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(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
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(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 c s) x))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 c s) x))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c s) x))) (fabs.f64 (sqrt.f64 (*.f64 (*.f64 c s) x))))
(*.f64 (fabs.f64 (*.f64 s x)) c)
(*.f64 (fabs.f64 (*.f64 c x)) s)
(*.f64 (exp.f64 (log.f64 (*.f64 s x))) c)
(*.f64 (exp.f64 (log.f64 x)) (*.f64 c s))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 c x) #s(literal 1 binary64)) s)
(*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 (*.f64 c s) x)))
(*.f64 (*.f64 c x) s)
(*.f64 (*.f64 s x) c)
(*.f64 (*.f64 c s) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 c s) x)
(*.f64 c (fabs.f64 (*.f64 s x)))
(*.f64 c (*.f64 s x))
(*.f64 s (fabs.f64 (*.f64 c x)))
(*.f64 s (pow.f64 (*.f64 c x) #s(literal 1 binary64)))
(*.f64 s (*.f64 c x))
(*.f64 x (*.f64 c s))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 c s) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 c s) x) #s(literal 1 binary64))
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(fabs.f64 (*.f64 (neg.f64 c) (*.f64 s x)))
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(exp.f64 (log.f64 (*.f64 (*.f64 c s) x)))
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(*.f64 (*.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 (*.f64 c s))) (*.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 (*.f64 c s))))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 c s))) (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 c s))))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 c s))) (*.f64 x (sqrt.f64 (*.f64 c s))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c s)) (neg.f64 (neg.f64 x))) (*.f64 (sqrt.f64 (*.f64 c s)) (neg.f64 (neg.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c s)) (neg.f64 x)) (*.f64 (sqrt.f64 (*.f64 c s)) (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c s)) x) (*.f64 (sqrt.f64 (*.f64 c s)) x))
(*.f64 (*.f64 (*.f64 x x) s) c)
(*.f64 (*.f64 s (*.f64 x x)) c)
(*.f64 (*.f64 s x) (*.f64 c x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 c) (*.f64 s x)))
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 x x) (*.f64 c s))
(*.f64 (*.f64 c s) (*.f64 x x))
(*.f64 c (*.f64 (*.f64 x x) s))
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(*.f64 x (*.f64 (*.f64 c s) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (*.f64 c s))))
(exp.f64 (+.f64 (log.f64 (*.f64 c s)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
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(*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))
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(exp.f64 (+.f64 (log.f64 (*.f64 c s)) (log.f64 (*.f64 (*.f64 c s) x))))
(*.f64 (*.f64 (neg.f64 s) (sqrt.f64 c)) (*.f64 (neg.f64 s) (sqrt.f64 c)))
(*.f64 (*.f64 s (sqrt.f64 c)) (*.f64 s (sqrt.f64 c)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c s)) (sqrt.f64 s)) (*.f64 (sqrt.f64 (*.f64 c s)) (sqrt.f64 s)))
(*.f64 (*.f64 (sqrt.f64 c) (neg.f64 s)) (*.f64 (sqrt.f64 c) (neg.f64 s)))
(*.f64 (*.f64 (sqrt.f64 c) s) (*.f64 (sqrt.f64 c) s))
(*.f64 (*.f64 (sqrt.f64 s) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 s) (sqrt.f64 (*.f64 c s))))
(*.f64 (*.f64 s s) c)
(*.f64 (*.f64 c s) s)
(*.f64 c (*.f64 s s))
(*.f64 s (*.f64 c s))
(pow.f64 (*.f64 (*.f64 s s) c) #s(literal 1 binary64))
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (log.f64 c)))
(exp.f64 (+.f64 (log.f64 (*.f64 c s)) (log.f64 s)))
(exp.f64 (+.f64 (log.f64 c) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 s) (log.f64 (*.f64 c s))))

eval121.0ms (1.6%)

Memory
21.0MiB live, 205.3MiB allocated; 22ms collecting garbage
Compiler

Compiled 39 413 to 3 672 computations (90.7% saved)

prune48.0ms (0.6%)

Memory
-23.1MiB live, 81.9MiB allocated; 5ms collecting garbage
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New1 007241 031
Fresh171330
Picked415
Done000
Total1 028381 066
Accuracy
100.0%
Counts
1 066 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.7%
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
66.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
86.5%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))) c)
84.6%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x))
61.4%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
72.3%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
74.9%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
67.2%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
75.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s))
76.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
75.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) (*.f64 c x)))
91.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) x) (*.f64 c s)))
95.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))
▶74.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c)))
96.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
80.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (pow (* x (* s c)) 2) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)))
62.6%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
77.1%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
63.3%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
60.9%
#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))
64.9%
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
54.2%
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s)))
▶49.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
49.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) c) s)))
▶54.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s)))
57.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x)))
57.6%
#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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
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 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
52.6%
#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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
46.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s)))
58.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
43.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
57.5%
#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)))
58.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x))))
24.1%
#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 s s)) (*.f64 c c))))
✓22.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
22.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
▶26.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
Compiler

Compiled 2 030 to 1 344 computations (33.8% saved)

simplify102.0ms (1.3%)

Memory
36.5MiB live, 126.2MiB allocated; 11ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) 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 x) c)))
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
cost-diff3
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s))
cost-diff4
(*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 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 x) (*.f64 c x)) c) s)))
cost-diff3
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s))
cost-diff0
(/.f64 #s(literal -2 binary64) c)
cost-diff0
(/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))
cost-diff0
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) 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 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(cos.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x))
cost-diff0
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057424
088404
1213400
2712382
32958382
47002382
08206382
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.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 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))
(/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))
(/.f64 #s(literal -2 binary64) c)
#s(literal -2 binary64)
c
(*.f64 (*.f64 s s) c)
(*.f64 s s)
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 s x) (*.f64 c x)) c) s)
(*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c)
(*.f64 (*.f64 s x) (*.f64 c x))
(*.f64 s x)
s
(*.f64 c x)
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c)
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s)
(*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))
(*.f64 (sqrt.f64 c) x)
(sqrt.f64 c)
c
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c)))
(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 x) c))
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(*.f64 (*.f64 c x) c)
(*.f64 c x)
c
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 x x)) (*.f64 s c))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) x)
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 (*.f64 c 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 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c c) s)) s)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c c) s)) s))
(/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c c) s)) s)
(/.f64 #s(literal -2 binary64) c)
#s(literal -2 binary64)
c
(*.f64 (*.f64 s s) c)
(*.f64 (*.f64 s c) s)
(*.f64 s s)
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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)) (*.f64 (*.f64 (*.f64 s c) s) c)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) 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 x) (*.f64 c x)) c) s)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)
(*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c)
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)
(*.f64 (*.f64 s x) (*.f64 c x))
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 s x)
s
(*.f64 c x)
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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)) (*.f64 (*.f64 (*.f64 s c) s) c)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c)
(*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c)
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s)
(*.f64 (*.f64 (*.f64 x x) c) s)
(*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))
(*.f64 (*.f64 x x) c)
(*.f64 (sqrt.f64 c) x)
(sqrt.f64 c)
c
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 x x)) (*.f64 s c))
(cos.f64 (*.f64 #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 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 s x) s)
(*.f64 s s)
s
(*.f64 (*.f64 c x) c)
(*.f64 c x)
c

localize151.0ms (1.9%)

Memory
-34.9MiB live, 153.6MiB allocated; 28ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 (*.f64 c x) c)
accuracy0.29877659152147706
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c)))
accuracy7.591011650515049
(*.f64 (*.f64 s s) x)
accuracy11.073195291506156
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c))
accuracy4.155993115901004
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)
accuracy7.154707084604541
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s)
accuracy13.943500015159541
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s))
accuracy21.776790449586834
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
accuracy4.041065926334502
(*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c)
accuracy4.155993115901004
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s)
accuracy13.943500015159541
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s))
accuracy21.776790449586834
#s(approx (/ (cos (* 2 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 x) (*.f64 c x)) c) s)))
accuracy3.2015703719239625
(/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))
accuracy8.999846064692074
(*.f64 (*.f64 s s) c)
accuracy21.776790449586834
#s(approx (/ (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) c) (*.f64 (*.f64 s s) c))))
accuracy27.887536237472602
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))
accuracy0.0
(cos.f64 (*.f64 x #s(literal 2 binary64)))
accuracy0.1328125
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
accuracy0.6036580974683705
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x))
accuracy5.675152771181563
(*.f64 (*.f64 c s) x)
Samples
117.0ms256×0valid
Compiler

Compiled 350 to 51 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 53.0ms (56% of total)
ival-div: 18.0ms (19% of total)
ival-cos: 10.0ms (10.6% of total)
ival-add: 7.0ms (7.4% of total)
ival-pow2: 4.0ms (4.2% of total)
ival-sqrt: 2.0ms (2.1% 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
9.6MiB live, 56.0MiB allocated; 3ms collecting garbage
Counts
27 → 35
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))
(/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))
(/.f64 #s(literal -2 binary64) c)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c))
(*.f64 (*.f64 c s) x)
(*.f64 (*.f64 s s) c)
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s)
(*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c)
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 c x) c)
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 (* c (* s x)))
(/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
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)
(* c (pow x 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* (pow c 2) (* s (pow x 2)))
(* c (* s (pow x 2)))
(* (pow s 2) x)
(* (pow c 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* s 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)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 c)
(* c (pow s 2))
(* -1 (* c (* (pow x 2) (pow (sqrt -1) 2))))
(* -1 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* c (* s (* (pow x 2) (pow (sqrt -1) 2)))))
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
c
@-inf
((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 c) (* (* s s) c)) (/ -2 c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s x) (* c x)) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (* (* (sqrt c) x) (* (sqrt c) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c x) c))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* (* c x) c)) (* (* c s) x) (* (* s s) c) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* (* (sqrt c) x) (* (sqrt c) x)) s) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (* (* s s) x) (* (* c x) c))
7.0ms
s
@inf
((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 c) (* (* s s) c)) (/ -2 c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s x) (* c x)) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (* (* (sqrt c) x) (* (sqrt c) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c x) c))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* (* c x) c)) (* (* c s) x) (* (* s s) c) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* (* (sqrt c) x) (* (sqrt c) x)) s) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (* (* s s) x) (* (* c x) c))
5.0ms
s
@-inf
((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 c) (* (* s s) c)) (/ -2 c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s x) (* c x)) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (* (* (sqrt c) x) (* (sqrt c) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c x) c))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* (* c x) c)) (* (* c s) x) (* (* s s) c) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* (* (sqrt c) x) (* (sqrt c) x)) s) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (* (* s s) x) (* (* c x) c))
4.0ms
c
@inf
((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 c) (* (* s s) c)) (/ -2 c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s x) (* c x)) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (* (* (sqrt c) x) (* (sqrt c) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c x) c))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* (* c x) c)) (* (* c s) x) (* (* s s) c) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* (* (sqrt c) x) (* (sqrt c) x)) s) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (* (* s s) x) (* (* c x) c))
4.0ms
x
@-inf
((/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/ (cos (* x 2)) (* (* c s) x)) (cos (* x 2)) (* x 2) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ -2 c) (* (* s s) c)) (/ -2 c) (/ (+ (* -2 (* x x)) 1) (* (* (* (* s x) (* c x)) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (* (* (sqrt c) x) (* (sqrt c) x)) (/ (+ (* -2 (* x x)) 1) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (cos (* 2 x)) (* (* (* s s) x) (* (* c x) c))) (cos (* 2 x)) (* 2 x) (* (* (* s s) x) (* (* c x) c)) (* (* c s) x) (* (* s s) c) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* (* (sqrt c) x) (* (sqrt c) x)) s) (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (* (* s s) x) (* (* c x) c))

simplify137.0ms (1.8%)

Memory
-5.8MiB live, 138.2MiB allocated; 22ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101484
1290436
21161410
08290391
Stop Event
1×iter limit
1×node limit
Counts
35 → 35
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 (* c (* s x)))
(/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
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)
(* c (pow x 2))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* (pow c 2) (* s (pow x 2)))
(* c (* s (pow x 2)))
(* (pow s 2) x)
(* (pow c 2) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* 2 x)) (* c (* s 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)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 c)
(* c (pow s 2))
(* -1 (* c (* (pow x 2) (pow (sqrt -1) 2))))
(* -1 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))))
(* -1 (* c (* s (* (pow x 2) (pow (sqrt -1) 2)))))
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 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 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) 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 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 s c) c))) (*.f64 x x))
(/ 1 (* c (* s x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)
(/ (+ (* -2 (/ (pow x 2) (* c s))) (/ 1 (* c s))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* c s))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 2/3 binary64) (*.f64 s c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) c)) x)
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* c s))) (* 2/3 (/ 1 (* c s))))) (* 2 (/ 1 (* c s))))) (/ 1 (* c s))) x)
(/.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) c) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) c)) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* c (pow x 2))
(*.f64 (*.f64 x x) c)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s) c)
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s c) c) x) x)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* (pow s 2) x)
(*.f64 (*.f64 s x) s)
(* (pow c 2) x)
(*.f64 (*.f64 c c) x)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) s)) x)
(/ (cos (* 2 x)) (* c (* s x)))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) c))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s s)) c) c)
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) 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)
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))
(/ -2 c)
(/.f64 #s(literal -2 binary64) c)
(* c (pow s 2))
(*.f64 (*.f64 s c) s)
(* -1 (* c (* (pow x 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 x x) c)
(* -1 (/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2))))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))
(* -1 (* c (* s (* (pow x 2) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* -1 (* (pow c 2) (* (pow s 2) (* (pow x 2) (pow (sqrt -1) 2)))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s) c)

rewrite215.0ms (2.8%)

Memory
21.4MiB live, 255.4MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057350
088332
1272274
21362266
08559266
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 1 469
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))
(/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))
(/.f64 #s(literal -2 binary64) c)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c x) c))
(*.f64 (*.f64 c s) x)
(*.f64 (*.f64 s s) c)
(*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s)
(*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c)
(*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 c x) c)
Outputs
(/.f64 (-.f64 (*.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 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.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 (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 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.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 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.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 (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 (neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) x) x)) (*.f64 (neg.f64 c) s))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) s)) (*.f64 c x))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) s)) c)) (*.f64 (neg.f64 x) c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c x) c))) (*.f64 (*.f64 (neg.f64 s) s) x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) s))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x)) (*.f64 (*.f64 (neg.f64 s) s) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.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)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (*.f64 (neg.f64 c) c))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) x) c)) (*.f64 (neg.f64 x) s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s))) (neg.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64))))
(/.f64 (-.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 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) x) c) (*.f64 s x))
(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) x) x) (*.f64 s c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) s)) (*.f64 c x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) s)) c) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c x) c)) (*.f64 (*.f64 s x) s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) s)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s x) s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 s c)) (*.f64 (*.f64 s c) x)) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 (neg.f64 c) c) x))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 s c)) (*.f64 (*.f64 (neg.f64 x) c) (*.f64 s x)))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 c c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 (*.f64 s c) x)) x)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 (*.f64 (*.f64 x x) c) s))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) s)) (neg.f64 (*.f64 (*.f64 (neg.f64 c) c) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 c x) c))
(/.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 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 (neg.f64 x) c) s))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) x) (*.f64 (*.f64 s c) x))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 s c)) (*.f64 (*.f64 s c) x)) x))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 c x) c)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 (*.f64 s c) x)) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 (neg.f64 c) c) x)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 s c)) (*.f64 (*.f64 (*.f64 x x) c) s)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 s c)) (*.f64 (*.f64 (*.f64 x x) c) s)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 c x) c)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 c x) c)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) 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 (sin.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x))))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)) (*.f64 (neg.f64 c) s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c)) (*.f64 (neg.f64 x) s))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 (*.f64 s c) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) c) (*.f64 s x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 s c))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 s c)) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) x)
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 (neg.f64 x) c) s))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (*.f64 (*.f64 s c) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 s c)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 s c)) x))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64)) (*.f64 (*.f64 s c) x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s c) x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 s c) x)))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) (-.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) (fabs.f64 (sin.f64 x))) (-.f64 (neg.f64 (cos.f64 x)) (fabs.f64 (sin.f64 x))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))) (-.f64 (fabs.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (+.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (sin.f64 x))) (-.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (sin.f64 x))))
(*.f64 (+.f64 (fabs.f64 (cos.f64 x)) (sin.f64 x)) (-.f64 (fabs.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))
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(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
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eval204.0ms (2.6%)

Memory
-9.0MiB live, 237.6MiB allocated; 52ms collecting garbage
Compiler

Compiled 38 020 to 3 735 computations (90.2% saved)

prune103.0ms (1.3%)

Memory
-1.8MiB live, 135.0MiB allocated; 10ms collecting garbage
Pruning

42 alts after pruning (39 fresh and 3 done)

PrunedKeptTotal
New96520985
Fresh131932
Picked325
Done011
Total981421 023
Accuracy
100.0%
Counts
1 023 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
66.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 s s)) (*.f64 (*.f64 (*.f64 c c) x) x))
82.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 c x) c))
84.6%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) x))
58.1%
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
77.1%
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
61.4%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
72.3%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
74.9%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
67.2%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
75.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s))
93.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)) x))
82.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) x) (*.f64 c x)))
84.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))
91.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) x) (*.f64 c s)))
84.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) s))))
80.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (pow (* x (* s c)) 2) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)))
58.1%
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c s) x))
77.1%
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c s) x))
62.6%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
63.3%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
48.8%
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 c x) c)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 c x) c)))
57.0%
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)))
60.9%
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
64.9%
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
54.2%
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s)))
✓54.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) c) s)))
57.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c s) x) (*.f64 c s)) x)))
42.2%
#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 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 x x) c))) s) c) s)))
57.6%
#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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
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 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
49.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.f64 s c))) s)))
52.6%
#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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
57.5%
#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)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s) c))))
17.3%
#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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
41.9%
#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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
24.1%
#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 s s)) (*.f64 c c))))
✓22.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s c)) (*.f64 s c))))
22.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.f64 c s)))))
✓26.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
25.5%
#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 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 s c) s)) x) (*.f64 (*.f64 x x) c))))
22.2%
#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 (*.f64 #s(literal -2 binary64) x) (/.f64 x (*.f64 s c))) (*.f64 (*.f64 (*.f64 x x) c) s))))
Compiler

Compiled 3 797 to 1 232 computations (67.6% saved)

regimes149.0ms (1.9%)

Memory
15.9MiB live, 302.0MiB allocated; 33ms collecting garbage
Counts
97 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) 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 c (*.f64 (*.f64 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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 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 c s) x) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 c x) x) 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 (*.f64 x x) c) s) 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 (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) 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 (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c 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)) (*.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 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (*.f64 s c))) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 s c) s)) x) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 x x)) s) (*.f64 s c)))
#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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.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 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 x x) c))) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
#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)))
#s(approx (/ (cos (* 2 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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 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 c) #s(literal 2 binary64)) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.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)) #s(approx (pow (* x (* s c)) 2) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c x) (*.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 c s) x) (*.f64 (*.f64 c s) x)))
(/.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 c s) x) x) (*.f64 c s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) x) (*.f64 c x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) (*.f64 c x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.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 s c) c) s) x))
(/.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 s (*.f64 (*.f64 s x) (*.f64 c x)))) c)
(/.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 (*.f64 s x) s)) (*.f64 (*.f64 c x) c))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 c x))) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) 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 x #s(literal 2 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (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)) (*.f64 s x)) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) c) c)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(/.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 x (*.f64 s x)) s)))
(/.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)) (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 (+.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 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 c x) c)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 s x) s)) (*.f64 (*.f64 c x) c)))
(*.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 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x 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))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

28.0ms
s
26.0ms
x
25.0ms
c
24.0ms
(pow.f64 s #s(literal 2 binary64))
22.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
96.7%1(pow.f64 s #s(literal 2 binary64))
96.7%1(pow.f64 c #s(literal 2 binary64))
98.6%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)))
96.7%1x
98.3%2c
96.7%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes107.0ms (1.4%)

Memory
21.2MiB live, 206.6MiB allocated; 20ms collecting garbage
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) 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 c (*.f64 (*.f64 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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 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 c s) x) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 c x) x) 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 (*.f64 x x) c) s) 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 (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) 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 (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c 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)) (*.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 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (*.f64 s c))) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 s c) s)) x) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 x x)) s) (*.f64 s c)))
#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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.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 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 x x) c))) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
#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)))
#s(approx (/ (cos (* 2 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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 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 c) #s(literal 2 binary64)) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.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)) #s(approx (pow (* x (* s c)) 2) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c x) (*.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 c s) x) (*.f64 (*.f64 c s) x)))
(/.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 c s) x) x) (*.f64 c s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) x) (*.f64 c x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) (*.f64 c x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) (*.f64 c s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) c) s))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
Calls

6 calls:

22.0ms
s
19.0ms
c
19.0ms
(pow.f64 s #s(literal 2 binary64))
18.0ms
x
13.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
96.5%1(pow.f64 s #s(literal 2 binary64))
96.5%1s
96.5%1(pow.f64 c #s(literal 2 binary64))
96.5%1x
96.5%1c
96.5%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes89.0ms (1.1%)

Memory
-48.4MiB live, 159.6MiB allocated; 25ms collecting garbage
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) 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 c (*.f64 (*.f64 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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 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 c s) x) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 c x) x) 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 (*.f64 x x) c) s) 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 (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) 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 (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c 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)) (*.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 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (*.f64 s c))) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 s c) s)) x) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 x x)) s) (*.f64 s c)))
#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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.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 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 x x) c))) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
#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)))
#s(approx (/ (cos (* 2 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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 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 c) #s(literal 2 binary64)) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.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)) #s(approx (pow (* x (* s c)) 2) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 c x) (*.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)))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
(/.f64 (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)) #s(approx (pow (* x (* s c)) 2) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)))
Calls

6 calls:

18.0ms
(pow.f64 c #s(literal 2 binary64))
15.0ms
x
15.0ms
c
13.0ms
s
12.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
91.9%2(pow.f64 s #s(literal 2 binary64))
91.9%2s
87.7%2(pow.f64 c #s(literal 2 binary64))
89.8%4(/.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)))
96.5%3x
87.7%2c
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes63.0ms (0.8%)

Memory
9.6MiB live, 55.3MiB allocated; 3ms collecting garbage
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) 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 c (*.f64 (*.f64 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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 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 c s) x) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 c x) x) 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 (*.f64 x x) c) s) 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 (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) 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 (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c 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)) (*.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 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (*.f64 s c))) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 s c) s)) x) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 x x)) s) (*.f64 s c)))
#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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.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 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 x x) c))) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
#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)))
#s(approx (/ (cos (* 2 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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 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 c) #s(literal 2 binary64)) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.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))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
(/.f64 (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 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
Calls

3 calls:

36.0ms
s
13.0ms
x
12.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
85.8%2s
85.8%2(pow.f64 s #s(literal 2 binary64))
90.4%3x
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes40.0ms (0.5%)

Memory
31.5MiB live, 76.5MiB allocated; 4ms collecting garbage
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) 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 c (*.f64 (*.f64 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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 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 c s) x) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 c x) x) 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 (*.f64 x x) c) s) 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 (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) 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 (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c 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)) (*.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 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (*.f64 s c))) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 s c) s)) x) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 x x)) s) (*.f64 s c)))
#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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.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 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 x x) c))) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
#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)))
#s(approx (/ (cos (* 2 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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 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 c) #s(literal 2 binary64)) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
Calls

3 calls:

14.0ms
c
12.0ms
x
10.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
82.1%2(pow.f64 c #s(literal 2 binary64))
82.1%2c
88.6%3x
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes41.0ms (0.5%)

Memory
-1.6MiB live, 51.3MiB allocated; 6ms collecting garbage
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) 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 c (*.f64 (*.f64 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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 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 c s) x) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 c x) x) 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 (*.f64 x x) c) s) 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 (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) 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 (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c 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)) (*.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 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (*.f64 s c))) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 s c) s)) x) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 x x)) s) (*.f64 s c)))
#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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.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 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 x x) c))) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
#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)))
#s(approx (/ (cos (* 2 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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 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 c) #s(literal 2 binary64)) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
Outputs
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
Calls

3 calls:

17.0ms
x
12.0ms
s
10.0ms
(/.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
85.8%2s
83.3%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)))
85.1%3x
Compiler

Compiled 18 to 18 computations (0% saved)

regimes79.0ms (1%)

Memory
-0.3MiB live, 92.2MiB allocated; 4ms collecting garbage
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) 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 c (*.f64 (*.f64 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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 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 c s) x) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 c x) x) 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 (*.f64 x x) c) s) 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 (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) 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 (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c 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)) (*.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 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (*.f64 s c))) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 s c) s)) x) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 x x)) s) (*.f64 s c)))
#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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.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 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 x x) c))) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
#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)))
#s(approx (/ (cos (* 2 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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) x) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 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 c) #s(literal 2 binary64)) x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64)))
Calls

6 calls:

18.0ms
c
16.0ms
s
12.0ms
x
11.0ms
(pow.f64 s #s(literal 2 binary64))
10.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
77.1%1(pow.f64 c #s(literal 2 binary64))
77.1%1c
81.5%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
77.1%1x
77.1%1(pow.f64 s #s(literal 2 binary64))
77.1%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes15.0ms (0.2%)

Memory
-23.6MiB live, 20.3MiB allocated; 5ms collecting garbage
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) 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 c (*.f64 (*.f64 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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 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 c s) x) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 c x) x) 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 (*.f64 x x) c) s) 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 (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) 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 (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c 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)) (*.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 (*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x (*.f64 s c))) (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 s c) s)) x) (*.f64 (*.f64 x x) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) s)) (*.f64 c s)))
#s(approx (/ (/ (cos (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s)))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 c s) x))
(/.f64 (/.f64 #s(approx (cos (* x 2)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) s) s)) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 c) (*.f64 s x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 x x)) s) (*.f64 s c)))
#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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) 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 (sqrt.f64 c) (*.f64 (*.f64 (*.f64 (sqrt.f64 c) x) x) (*.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 (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 x x) c))) 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 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x)) s) c) s)))
#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)))
#s(approx (/ (cos (* 2 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 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s))) (*.f64 (sqrt.f64 (*.f64 (*.f64 c s) x)) (sqrt.f64 (*.f64 c s)))) x)))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
(/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) x)) (*.f64 (*.f64 c s) x))
Calls

1 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)))
Results
AccuracySegmentsBranch
81.5%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
#s(approx (/ (cos (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* (* (* (sqrt c) x) (* (sqrt c) x)) s) c) s) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) 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 c (*.f64 (*.f64 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 s (*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 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 c s) x) (*.f64 c s)) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s x) (*.f64 c x)) 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 (*.f64 c x) x) 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 (*.f64 x x) c) s) 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 (* 2 x)) (pow (* x (* s c)) 2)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) 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 (* x 2)) (* (* c s) x)) (* (* c s) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) 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 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
(/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))
Calls

1 calls:

5.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
81.5%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes19.0ms (0.2%)

Memory
-24.0MiB live, 28.8MiB allocated; 6ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) 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 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
Calls

6 calls:

7.0ms
x
3.0ms
c
3.0ms
s
2.0ms
(pow.f64 s #s(literal 2 binary64))
2.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
65.7%2x
65.7%2c
66.4%2(pow.f64 s #s(literal 2 binary64))
65.7%2(pow.f64 c #s(literal 2 binary64))
66.4%2s
71.0%3(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))
Calls

1 calls:

2.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
67.7%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)

regimes12.0ms (0.2%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.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 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) 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 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 s c) s))))
Calls

6 calls:

2.0ms
x
2.0ms
c
2.0ms
s
2.0ms
(pow.f64 s #s(literal 2 binary64))
2.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
44.1%2x
41.9%1(pow.f64 c #s(literal 2 binary64))
41.9%1c
44.0%2s
44.0%2(pow.f64 s #s(literal 2 binary64))
47.8%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 25 to 31 computations (-24% saved)

regimes11.0ms (0.1%)

Memory
-22.4MiB live, 24.5MiB allocated; 1ms collecting garbage
Accuracy

Total -2.6b remaining (-5.4%)

Threshold costs -2.6b (-5.4%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) s) (*.f64 c (*.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 #s(literal -2 binary64) (*.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 (/.f64 #s(literal -2 binary64) (*.f64 s s)) (*.f64 c 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 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
Calls

6 calls:

2.0ms
s
2.0ms
x
2.0ms
c
2.0ms
(pow.f64 s #s(literal 2 binary64))
1.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
26.4%1(pow.f64 c #s(literal 2 binary64))
26.4%1c
26.4%1(pow.f64 s #s(literal 2 binary64))
26.4%1s
26.4%1x
26.4%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch42.0ms (0.5%)

Memory
-10.1MiB live, 36.4MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
4.1882247644888824e+156
4.766566119900867e+157
15.0ms
6.252772175005695e-59
1.7371788442182713e-54
Samples
29.0ms224×0valid
Compiler

Compiled 835 to 582 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 13.0ms (56.5% of total)
ival-cos: 4.0ms (17.4% of total)
ival-pow2: 4.0ms (17.4% of total)
ival-div: 1.0ms (4.3% 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)

bsearch15.0ms (0.2%)

Memory
16.4MiB live, 16.3MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
4.1882247644888824e+156
4.766566119900867e+157
1.0ms
6.252772175005695e-59
1.7371788442182713e-54
Samples
8.0ms80×0valid
Compiler

Compiled 799 to 552 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 3.0ms (47.1% of total)
ival-mult: 2.0ms (31.4% of total)
ival-pow2: 1.0ms (15.7% of total)
ival-div: 0.0ms (0% 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)

bsearch12.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.1882247644888824e+156
4.766566119900867e+157
10.0ms
6.252772175005695e-59
1.7371788442182713e-54
Samples
6.0ms80×0valid
Compiler

Compiled 631 to 440 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (47.4% of total)
ival-cos: 1.0ms (23.7% of total)
ival-pow2: 1.0ms (23.7% of total)
ival-div: 0.0ms (0% 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)

bsearch22.0ms (0.3%)

Memory
-20.2MiB live, 26.7MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.0633974340075628e+82
2.9447351888983857e+83
Samples
15.0ms112×0valid
Compiler

Compiled 229 to 200 computations (12.7% saved)

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

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.1459798992235053e-292
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.1459798992235053e-292
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.1459798992235053e-292
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.1459798992235053e-292
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.1459798992235053e-292
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
3.740776547906541e-203
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify49.0ms (0.6%)

Memory
9.6MiB live, 59.6MiB allocated; 6ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0135975
1206941
2468889
33311889
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 +inf.0 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
(if (<=.f64 x #s(literal 5866484394771979/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) (if (<=.f64 x #s(literal 4199999999999999625250300070609114855294459083084479206979894611107878402414705890616998214055206375481554153752187232706796188537425692546963768624872947712 binary64)) (/.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)) #s(approx (pow (* x (* s c)) 2) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)))))
(if (<=.f64 x #s(literal 5866484394771979/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) (if (<=.f64 x #s(literal 41999999999999997776794285040071730282240113190789277298606632959209228779594793098246026486140745454183755923992561369952205596998584511137594560901212536832 binary64)) (/.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 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 6625676492918941/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) (if (<=.f64 x #s(literal 41999999999999997776794285040071730282240113190789277298606632959209228779594793098246026486140745454183755923992561369952205596998584511137594560901212536832 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))))
(if (<=.f64 s #s(literal 11499999999999999410678493805828061626012370415191911252500265779062571469876756480 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))))
(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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))))
(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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) 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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal 0 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 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 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))
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 +inf.0 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) (neg.f64 c)) (*.f64 (*.f64 s x) (neg.f64 c)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))
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(if (<=.f64 x #s(literal 5866484394771979/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) (if (<=.f64 x #s(literal 41999999999999997776794285040071730282240113190789277298606632959209228779594793098246026486140745454183755923992561369952205596998584511137594560901212536832 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (pow (* x (* s c)) 2) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 6625676492918941/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) (if (<=.f64 x #s(literal 41999999999999997776794285040071730282240113190789277298606632959209228779594793098246026486140745454183755923992561369952205596998584511137594560901212536832 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))))
(if (<=.f64 x #s(literal 6625676492918941/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))) (if (<=.f64 x #s(literal 41999999999999997776794285040071730282240113190789277298606632959209228779594793098246026486140745454183755923992561369952205596998584511137594560901212536832 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c s) x)) (*.f64 (*.f64 c s) x))))
(if (<=.f64 s #s(literal 11499999999999999410678493805828061626012370415191911252500265779062571469876756480 binary64)) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))))
(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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 2 binary64))))
(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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s c)) 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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 #s(approx (/ (cos (* x 2)) (* (* c s) x)) (/.f64 (pow.f64 (*.f64 s c) #s(literal -1 binary64)) 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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 (/.f64 #s(approx (cos (* x 2)) #s(literal 1 binary64)) (*.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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.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 -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x)))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) s) c) (*.f64 x x))))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal 0 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c)))) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 (*.f64 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 (/.f64 #s(literal -2 binary64) c) (*.f64 (*.f64 s s) c))))

derivations1.3s (16.7%)

Memory
10.9MiB live, 827.0MiB allocated; 83ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065332
1180300
2617282
34278270
08568261
090543
1255499
2935467
36413451
08864433
043227
072225
1222187
01150187
0101484
1290436
21161410
08290391
01246
02046
15946
226142
0256342
050222
1144206
2519188
33912184
08363174
049304
074262
1224250
21053250
08185250
057350
088332
1272274
21362266
08559266
Stop Event
1×fuel
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×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×node limit
1×iter limit
1×node limit
Compiler

Compiled 965 to 137 computations (85.8% saved)

preprocess159.0ms (2%)

Memory
-21.3MiB live, 121.5MiB allocated; 21ms collecting garbage
Remove

(abs x)

(abs s)

Compiler

Compiled 2 574 to 574 computations (77.7% saved)

end0.0ms (0%)

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

Profiling

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