mixedcos

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

analyze193.0ms (2.1%)

Memory
25.4MiB live, 215.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
18.8%18.7%81.1%0.1%0%0%0%5
28.1%28.1%71.8%0.1%0%0%0%6
42.2%42.1%57.7%0.1%0%0%0%7
49.2%49.1%50.7%0.1%0%0%0%8
57.4%57.3%42.5%0.1%0%0%0%9
67%66.9%33%0.1%0%0%0%10
71.8%71.7%28.2%0.1%0%0%0%11
76.9%76.8%23.1%0.1%0%0%0%12
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample2.0s (21.6%)

Memory
9.7MiB live, 1 663.8MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 932.0ms
ival-mult: 367.0ms (39.4% of total)
ival-pow2: 249.0ms (26.7% of total)
ival-cos: 239.0ms (25.6% of total)
ival-div: 61.0ms (6.5% of total)
ival-true: 7.0ms (0.8% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain208.0ms (2.3%)

Memory
-5.6MiB live, 281.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
540-1(-1.7275316800701287e-27 -1448584207656480.0 -2.1406155067513442e-134)(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
470-2(-1.3124763979488086e+135 -6.126997538862575e-253 -3.370011624267688e-162)(*.f64 x (pow.f64 s #s(literal 2 binary64)))
200-1(-3.0466079634443658e+125 3.343116926516355e-294 1.8196699878989317e-218)(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
1128(1.2216425595792808e+191 5.403848748473386e-94 4.145389575237186e+211)0-(cos.f64 (*.f64 #s(literal 2 binary64) x))
00-0-(pow.f64 c #s(literal 2 binary64))
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-s
00-0-c
00-0-(/.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-#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))sensitivity1280
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*u230
*.f64(*.f64 x (pow.f64 s #s(literal 2 binary64)))n*o220
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))u*o160
↳(pow.f64 c #s(literal 2 binary64))underflow55
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)overflow74
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))overflow67
↳(pow.f64 s #s(literal 2 binary64))overflow70
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*o160
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u130
↳(pow.f64 c #s(literal 2 binary64))overflow57
↳(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow57
↳(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow42
↳(pow.f64 s #s(literal 2 binary64))underflow56
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*o120
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))n*u80
*.f64(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)n*u70
cos.f64(cos.f64 (*.f64 #s(literal 2 binary64) x))oflow-rescue10
↳(*.f64 #s(literal 2 binary64) x)overflow1
Confusion
Predicted +Predicted -
+941
-9269
Precision
0.5053763440860215
Recall
0.9894736842105263
Confusion?
Predicted +Predicted MaybePredicted -
+9401
-92069
Precision?
0.5053763440860215
Recall?
0.9894736842105263
Freqs
test
numberfreq
070
1127
258
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms512×0valid
Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 15.0ms (37.1% of total)
ival-cos: 11.0ms (27.2% of total)
ival-pow2: 10.0ms (24.7% of total)
ival-div: 3.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess189.0ms (2.1%)

Memory
15.0MiB live, 211.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047161
1146147
2480147
31956147
45003147
57805147
01216
02016
14016
29816
335816
4218416
5492716
6565316
7577816
8616816
9732216
0828816
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 s c)) (*.f64 (*.f64 s c) (*.f64 x x)))
Symmetry

(abs s)

(abs c)

(abs x)

(sort c s)

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.7%
(/.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)

simplify132.0ms (1.4%)

Memory
17.8MiB live, 116.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize44.0ms (0.5%)

Memory
-40.3MiB live, 50.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.24220586941310063
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy3.909670676890169
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
accuracy9.685466654670636
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
accuracy13.601062113392693
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
Samples
26.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.2% of total)
ival-cos: 5.0ms (29.3% of total)
ival-pow2: 4.0ms (23.5% of total)
ival-div: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
33.5MiB live, 33.5MiB allocated
Counts
6 → 14
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* (pow s 2) x)
(* (pow s 2) (pow x 2))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
Calls

9 calls:

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

simplify166.0ms (1.8%)

Memory
-1.3MiB live, 187.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite160.0ms (1.8%)

Memory
5.8MiB live, 109.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01246
02046
15946
226142
0256342
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
6 → 256
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)
Outputs
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) c))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 c c) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 s s) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 c c)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 s s) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 c c) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 c c)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 (*.f64 s s) x) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) c) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)))
(*.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) s) (*.f64 s x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) x) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) (neg.f64 c)) (neg.f64 c))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) x)) c) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 x x)) (*.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 s s)) (*.f64 x x))
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eval33.0ms (0.4%)

Memory
8.6MiB live, 52.3MiB allocated
Compiler

Compiled 6 488 to 894 computations (86.2% saved)

prune25.0ms (0.3%)

Memory
-9.2MiB live, 34.3MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New25218270
Fresh000
Picked101
Done000
Total25318271
Accuracy
98.8%
Counts
271 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s)
83.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
▶69.4%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
67.0%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s s) x)) (*.f64 (*.f64 c c) x))
▶71.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
73.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
77.4%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 s x) (*.f64 s x))))
83.0%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
77.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
78.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
▶77.5%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
72.1%
(/.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))))
▶83.2%
(*.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)))
72.1%
(*.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))))
▶45.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
42.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
72.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s))
58.3%
#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 764 to 530 computations (30.6% saved)

simplify237.0ms (2.6%)

Memory
-38.4MiB live, 79.4MiB allocated
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 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
cost-diff2
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
cost-diff2
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
cost-diff3
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
cost-diff0
(sin.f64 x)
cost-diff0
(+.f64 (sin.f64 x) (cos.f64 x))
cost-diff0
(/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x)
cost-diff0
(*.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)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048331
082335
1181317
2575311
33559311
08616311
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
x
(cos.f64 x)
(/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(-.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(*.f64 c s)
c
s
#s(literal 2 binary64)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 x x) c)
c
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 x c)
c
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(/.f64 (/.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 (+.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 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (*.f64 x x)) (+.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x)
(/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x)
(+.f64 (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (sin.f64 x))
(sin.f64 x)
x
(cos.f64 x)
(/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(-.f64 (cos.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(*.f64 c s)
(*.f64 s c)
c
s
#s(literal 2 binary64)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 x x) c)
c
(*.f64 (*.f64 s c) s)
(*.f64 s c)
s
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 x c)
(*.f64 c x)
c
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) x)
(*.f64 s s)
s
(/.f64 (/.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))
(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)))
(/.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))
(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)

localize274.0ms (3%)

Memory
6.2MiB live, 195.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x)))
accuracy0.23046875
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
accuracy0.24220586941310063
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy17.113500425078467
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
accuracy3.027003219177248
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)) c)
accuracy3.909670676890169
(*.f64 (*.f64 (*.f64 s s) x) x)
accuracy6.031878374499639
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
accuracy9.685466654670636
(*.f64 (*.f64 s s) x)
accuracy0.24220586941310063
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy4.619453929687112
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
accuracy5.750448206486248
(*.f64 (*.f64 (*.f64 s s) x) c)
accuracy9.685466654670636
(*.f64 (*.f64 s s) x)
accuracy8.2250706711274
(*.f64 (*.f64 x x) c)
accuracy11.820365941716139
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
accuracy12.862567651661497
(/.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)))
accuracy21.68487219262794
#s(approx (/ (cos (* 2 x)) (* (pow 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))))
accuracy0.2522026192378034
(+.f64 (sin.f64 x) (cos.f64 x))
accuracy0.5776406101530462
(/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
accuracy3.1951596190065175
(*.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)))
accuracy7.632434872497131
(*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)
Samples
219.0ms256×0valid
Compiler

Compiled 316 to 48 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-cos: 124.0ms (67.4% of total)
ival-mult: 30.0ms (16.3% of total)
ival-div: 11.0ms (6% of total)
ival-sin: 7.0ms (3.8% of total)
ival-pow2: 7.0ms (3.8% of total)
ival-add: 3.0ms (1.6% of total)
ival-sub: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series75.0ms (0.8%)

Memory
39.9MiB live, 171.4MiB allocated
Counts
26 → 52
Calls
Call 1
Inputs
(*.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 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (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)
(/.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)
(/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(*.f64 (*.f64 x x) c)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
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 x) x)
(/ (+ 1 (* x (+ 1 (* -1/2 x)))) x)
(/ (+ 1 (* x (+ 1 (* x (- (* -1/6 x) 1/2))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/2 x))))
(+ 1 (* x (+ 1 (* x (- (* -1/6 x) 1/2)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(/ 1 (* 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))
(* -2 x)
(* (pow c 2) (* (pow s 2) x))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -1 (/ x (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* x (- (* -1/2 (/ x (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* x (- (* x (- (* 1/6 (/ x (* (pow c 2) (pow s 2)))) (* 1/2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(* c (pow x 2))
(* (pow s 2) x)
(* c (* (pow s 2) x))
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(/ (* (+ (cos x) (sin x)) (- (cos x) (sin x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (cos x) (sin x)) x)
(+ (cos x) (sin x))
(sin x)
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(cos (* -2 x))
(/ (- (cos x) (sin x)) (* (pow c 2) (* (pow s 2) x)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
x
@inf
((* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/ (+ (sin x) (cos x)) x) (+ (sin x) (cos x)) (sin x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x)) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (pow (* c s) 2))
9.0ms
c
@0
((* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/ (+ (sin x) (cos x)) x) (+ (sin x) (cos x)) (sin x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x)) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (pow (* c s) 2))
8.0ms
c
@-inf
((* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/ (+ (sin x) (cos x)) x) (+ (sin x) (cos x)) (sin x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x)) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (pow (* c s) 2))
8.0ms
x
@-inf
((* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/ (+ (sin x) (cos x)) x) (+ (sin x) (cos x)) (sin x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x)) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (pow (* c s) 2))
7.0ms
c
@inf
((* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/ (+ (sin x) (cos x)) x) (+ (sin x) (cos x)) (sin x) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (* x x) c) (* (* s c) s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* (* x c) (* (* (* s s) x) c)) (/ (cos (* 2 x)) (* (* x c) (* (* (* s s) x) c))) (cos (* 2 x)) (* 2 x) (/ (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) c) (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (cos (* -2 x)) (* -2 x) (/ (cos (* 2 x)) (* (pow (* c s) 2) (* x x))) (* (pow (* c s) 2) (* x x)) (* (pow (* c s) 2) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x)) (* (* x x) c) (* (* s s) x) (* (* (* s s) x) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (pow (* c s) 2))

simplify173.0ms (1.9%)

Memory
-20.5MiB live, 228.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148763
1439711
21553656
36883656
08024627
Stop Event
1×iter limit
1×node limit
Counts
52 → 51
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 x) x)
(/ (+ 1 (* x (+ 1 (* -1/2 x)))) x)
(/ (+ 1 (* x (+ 1 (* x (- (* -1/6 x) 1/2))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/2 x))))
(+ 1 (* x (+ 1 (* x (- (* -1/6 x) 1/2)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (pow c 2) (* (pow s 2) (pow x 2)))
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 2 x)
(/ 1 (* 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))
(* -2 x)
(* (pow c 2) (* (pow s 2) x))
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/ (+ (* -1 (/ x (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* x (- (* -1/2 (/ x (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/ (+ (* x (- (* x (- (* 1/6 (/ x (* (pow c 2) (pow s 2)))) (* 1/2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(* c (pow x 2))
(* (pow s 2) x)
(* c (* (pow s 2) x))
(* c (* (pow s 2) (pow x 2)))
(* (pow s 2) (pow x 2))
(/ (* (+ (cos x) (sin x)) (- (cos x) (sin x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ (cos x) (sin x)) x)
(+ (cos x) (sin x))
(sin x)
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(cos (* 2 x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(cos (* -2 x))
(/ (- (cos x) (sin x)) (* (pow c 2) (* (pow s 2) x)))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* (pow c 2) (pow s 2))
Outputs
(/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 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 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))
(/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 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 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 s s) c))) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* x (+ 1 (* -1/2 x)))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/ (+ 1 (* x (+ 1 (* x (- (* -1/6 x) 1/2))))) x)
(+.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/2 x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (- (* -1/6 x) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s)
(+ 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)
(/ 1 (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 s s))
(/ (+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2)))) (pow x 2))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s)) (*.f64 x x))
(/ (+ (* (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))
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 s s) c)) x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 s s) c)) x)) x)
(/ (+ (* (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 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 s s) c)) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s))) (*.f64 x x))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* (pow c 2) (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s)
(/ 1 (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (*.f64 s s))
(/ (+ (* -1 (/ x (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 c x) c) s) s))
(/ (+ (* x (- (* -1/2 (/ x (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(+.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (*.f64 s s)) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 c c)) (/.f64 x (*.f64 s s))) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) s) s)))
(/ (+ (* x (- (* x (- (* 1/6 (/ x (* (pow c 2) (pow s 2)))) (* 1/2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))) (/ 1 (* (pow c 2) (pow s 2)))) x)
(+.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) x) (*.f64 s s)) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) x) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) s) s)))
(* c (pow x 2))
(*.f64 (*.f64 x x) c)
(* (pow s 2) x)
(*.f64 (*.f64 s s) x)
(* c (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 s s) x) c)
(* 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 x) (sin x)) (- (cos x) (sin x))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 c c)) (*.f64 s s)))
(/ (+ (cos x) (sin x)) x)
(/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x)
(+ (cos x) (sin x))
(+.f64 (sin.f64 x) (cos.f64 x))
(sin x)
(sin.f64 x)
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x 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 x x)) (*.f64 s s))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) x) x)
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 x x)) (*.f64 s s))
(/ (cos (* -2 x)) (* c (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) c)) (*.f64 s s))
(cos (* -2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ (- (cos x) (sin x)) (* (pow c 2) (* (pow s 2) x)))
(/.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 c x) c)) (*.f64 s s))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))
(* (pow c 2) (pow s 2))
(*.f64 (*.f64 (*.f64 s c) c) s)

rewrite260.0ms (2.9%)

Memory
1.2MiB live, 238.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048257
082276
1259210
21550210
08363210
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 333
Calls
Call 1
Inputs
(*.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 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s)))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (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)
(/.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)
(/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x))
(*.f64 (*.f64 x x) c)
(*.f64 (*.f64 s s) x)
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) x) c)
(*.f64 (*.f64 (*.f64 s s) x) x)
(pow.f64 (*.f64 c s) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))) (*.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))))) (-.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (sin.f64 x) x))) (*.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x)) (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x)))) (-.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 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 c (*.f64 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 c (*.f64 s x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (sin.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (sin.f64 x) x)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x)) (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (neg.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 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 x x))) (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x)) (neg.f64 (*.f64 (*.f64 s s) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s s) x))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 s s))) (neg.f64 (*.f64 c x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) c)) (neg.f64 (*.f64 (*.f64 s s) x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c))) (neg.f64 (*.f64 c x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) x)) (neg.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x))) (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x) (neg.f64 (-.f64 (cos.f64 x) (sin.f64 x))))) (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 s s) x) c))))
(/.f64 (neg.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 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x))) (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x))))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (+.f64 (cos.f64 x) (sin.f64 x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x))))) (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (cos.f64 x) (sin.f64 x)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x))) (neg.f64 (-.f64 (cos.f64 x) (sin.f64 x))))) (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x))) (-.f64 (cos.f64 x) (sin.f64 x)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (neg.f64 (-.f64 (cos.f64 x) (sin.f64 x))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 c (*.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 (neg.f64 (neg.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c (*.f64 s x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (*.f64 x (*.f64 s c)) #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (neg.f64 x)) (neg.f64 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)) (*.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 c x)) (*.f64 (*.f64 s s) x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) c) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s s) x) c)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x)) x)
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x)) (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 (cos.f64 x) (sin.f64 x)))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) (sin.f64 x)) x) (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) x)
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(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
(-.f64 (/.f64 (/.f64 (cos.f64 x) x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64)) (*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64)) (*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))))
(*.f64 (*.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 c)) (*.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 c)))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 c)) (*.f64 (neg.f64 x) (sqrt.f64 c)))
(*.f64 (*.f64 x (sqrt.f64 c)) (*.f64 x (sqrt.f64 c)))
(*.f64 (*.f64 (sqrt.f64 c) (neg.f64 (neg.f64 x))) (*.f64 (sqrt.f64 c) (neg.f64 (neg.f64 x))))
(*.f64 (*.f64 (sqrt.f64 c) (neg.f64 x)) (*.f64 (sqrt.f64 c) (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 c) x) (*.f64 (sqrt.f64 c) x))
(*.f64 (*.f64 c (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) c))
(*.f64 (*.f64 c x) x)
(*.f64 (*.f64 x x) c)
(*.f64 c (*.f64 x x))
(*.f64 x (*.f64 c x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 c)))
(exp.f64 (+.f64 (log.f64 c) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 x (neg.f64 s)) (neg.f64 s))
(*.f64 (*.f64 s x) s)
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) x))
(*.f64 (*.f64 s s) x)
(*.f64 s (*.f64 s x))
(*.f64 x (*.f64 s s))
(fabs.f64 (*.f64 (*.f64 s s) (neg.f64 x)))
(fabs.f64 (*.f64 (*.f64 s s) x))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) (*.f64 c x)))
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) (*.f64 c x))
(*.f64 (*.f64 c x) (*.f64 s s))
(*.f64 (*.f64 (*.f64 s c) s) x)
(*.f64 (*.f64 s c) (*.f64 s x))
(*.f64 s (*.f64 (*.f64 s x) c))
(*.f64 s (*.f64 s (*.f64 c x)))
(*.f64 c (*.f64 (*.f64 s s) x))
(*.f64 x (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 (*.f64 (neg.f64 s) (neg.f64 x)) (sqrt.f64 c)) (*.f64 (*.f64 (neg.f64 s) (neg.f64 x)) (sqrt.f64 c)))
(*.f64 (*.f64 (*.f64 (neg.f64 s) x) (sqrt.f64 c)) (*.f64 (*.f64 (neg.f64 s) x) (sqrt.f64 c)))
(*.f64 (*.f64 (*.f64 s (neg.f64 x)) (sqrt.f64 c)) (*.f64 (*.f64 s (neg.f64 x)) (sqrt.f64 c)))
(*.f64 (*.f64 (*.f64 s x) (sqrt.f64 c)) (*.f64 (*.f64 s x) (sqrt.f64 c)))
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 (neg.f64 s) (neg.f64 x))) (*.f64 (sqrt.f64 c) (*.f64 (neg.f64 s) (neg.f64 x))))
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 (neg.f64 s) x)) (*.f64 (sqrt.f64 c) (*.f64 (neg.f64 s) x)))
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 s (neg.f64 x))) (*.f64 (sqrt.f64 c) (*.f64 s (neg.f64 x))))
(*.f64 (*.f64 (sqrt.f64 c) (*.f64 s x)) (*.f64 (sqrt.f64 c) (*.f64 s x)))
(*.f64 (*.f64 (*.f64 c x) s) (*.f64 s x))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c)
(*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x)
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 c x))
(*.f64 (*.f64 s s) (*.f64 (*.f64 x x) c))
(*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (*.f64 s c) s) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s))
(*.f64 s (*.f64 (*.f64 s x) (*.f64 c x)))
(*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 x (*.f64 (*.f64 (*.f64 s s) x) c))
(*.f64 (*.f64 (neg.f64 (neg.f64 s)) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 s)) (neg.f64 (neg.f64 x))))
(*.f64 (*.f64 (neg.f64 (neg.f64 s)) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 s)) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 (neg.f64 s)) x) (*.f64 (neg.f64 (neg.f64 s)) x))
(*.f64 (*.f64 (neg.f64 s) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 s) (neg.f64 (neg.f64 x))))
(*.f64 (*.f64 s (neg.f64 (neg.f64 x))) (*.f64 s (neg.f64 (neg.f64 x))))
(*.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 s))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 s))))
(*.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 s)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 s)))
(*.f64 (*.f64 (neg.f64 (neg.f64 x)) s) (*.f64 (neg.f64 (neg.f64 x)) s))
(*.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 s))) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 s))))
(*.f64 (*.f64 x (neg.f64 (neg.f64 s))) (*.f64 x (neg.f64 (neg.f64 s))))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 1 binary64)) (pow.f64 (*.f64 s x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 s) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 s) (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 (neg.f64 s) x)) (neg.f64 (*.f64 (neg.f64 s) x)))
(*.f64 (neg.f64 (*.f64 s (neg.f64 x))) (neg.f64 (*.f64 s (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 s x)) (neg.f64 (*.f64 s x)))
(*.f64 (*.f64 (neg.f64 x) (neg.f64 s)) (*.f64 (neg.f64 x) (neg.f64 s)))
(*.f64 (*.f64 (neg.f64 x) s) (*.f64 (neg.f64 x) s))
(*.f64 (*.f64 (*.f64 s s) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x (neg.f64 s)) (*.f64 x (neg.f64 s)))
(*.f64 (*.f64 (neg.f64 s) (neg.f64 x)) (*.f64 (neg.f64 s) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 s) x) (*.f64 (neg.f64 s) x))
(*.f64 (*.f64 s (neg.f64 x)) (*.f64 s (neg.f64 x)))
(*.f64 (*.f64 s x) (*.f64 s x))
(*.f64 (neg.f64 s) (*.f64 (neg.f64 s) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 s s) x) x)
(*.f64 (*.f64 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 (neg.f64 x) (neg.f64 s)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) s) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 s)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 s) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 s) x) #s(literal 2 binary64))
(pow.f64 (*.f64 s (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 s x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 (neg.f64 s)) (neg.f64 c)) (*.f64 (neg.f64 (neg.f64 s)) (neg.f64 c)))
(*.f64 (*.f64 (neg.f64 (neg.f64 s)) c) (*.f64 (neg.f64 (neg.f64 s)) c))
(*.f64 (*.f64 (neg.f64 s) (neg.f64 c)) (*.f64 (neg.f64 s) (neg.f64 c)))
(*.f64 (*.f64 s (neg.f64 c)) (*.f64 s (neg.f64 c)))
(*.f64 (*.f64 (neg.f64 c) (neg.f64 (neg.f64 s))) (*.f64 (neg.f64 c) (neg.f64 (neg.f64 s))))
(*.f64 (*.f64 (neg.f64 c) (neg.f64 s)) (*.f64 (neg.f64 c) (neg.f64 s)))
(*.f64 (*.f64 (neg.f64 c) s) (*.f64 (neg.f64 c) s))
(*.f64 (*.f64 c (neg.f64 (neg.f64 s))) (*.f64 c (neg.f64 (neg.f64 s))))
(*.f64 (neg.f64 (*.f64 c (neg.f64 s))) (neg.f64 (*.f64 c (neg.f64 s))))
(*.f64 (neg.f64 (neg.f64 (*.f64 s c))) (neg.f64 (neg.f64 (*.f64 s c))))
(*.f64 (fabs.f64 (*.f64 c (neg.f64 s))) (fabs.f64 (*.f64 c (neg.f64 s))))
(*.f64 (*.f64 (neg.f64 s) c) (*.f64 (neg.f64 s) c))
(*.f64 (pow.f64 (*.f64 (*.f64 c c) (neg.f64 s)) #s(literal 1 binary64)) s)
(*.f64 (pow.f64 (*.f64 c (neg.f64 s)) #s(literal 1 binary64)) (pow.f64 (*.f64 c (neg.f64 s)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 s c)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (*.f64 s c)) #s(literal 1 binary64)))
(*.f64 (*.f64 c (*.f64 s c)) s)
(*.f64 (*.f64 (*.f64 c c) (neg.f64 s)) (neg.f64 s))
(*.f64 (*.f64 (*.f64 s c) c) s)
(*.f64 (*.f64 (*.f64 c c) s) s)
(*.f64 (*.f64 c (neg.f64 s)) (*.f64 c (neg.f64 s)))
(*.f64 (neg.f64 (*.f64 s c)) (neg.f64 (*.f64 s c)))
(*.f64 (*.f64 s s) (*.f64 c c))
(*.f64 (*.f64 c c) (*.f64 s s))
(*.f64 (*.f64 (*.f64 s c) s) c)
(*.f64 (*.f64 s c) (*.f64 s c))
(*.f64 s (*.f64 c (*.f64 s c)))
(*.f64 c (*.f64 (*.f64 s c) s))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 s c)))
(pow.f64 (*.f64 (neg.f64 s) c) #s(literal 2 binary64))
(pow.f64 (*.f64 c (neg.f64 s)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 s c)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))))))))
(fabs.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (*.f64 (log.f64 c) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 s c)) (log.f64 (*.f64 s c))))
(exp.f64 (*.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64)))) (sinh.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)))))

eval139.0ms (1.5%)

Memory
-9.2MiB live, 227.4MiB allocated
Compiler

Compiled 32 808 to 3 495 computations (89.3% saved)

prune65.0ms (0.7%)

Memory
-10.4MiB live, 90.1MiB allocated
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New94028968
Fresh9413
Picked505
Done000
Total95432986
Accuracy
100.0%
Counts
986 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.7%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
76.5%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x)) c)
82.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 s x) x)) c)) c)
77.5%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
70.3%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x x)))
▶77.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
71.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) (*.f64 x x)))
80.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s s) (*.f64 c x))))
90.8%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) (*.f64 s x))))
▶90.9%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
72.1%
(/.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))))
39.2%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s)) (*.f64 x x))) c)
56.6%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 s s))) c)
43.3%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
56.6%
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c)))
75.0%
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) #s(approx (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 c x) c)) (*.f64 s s))))
58.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
61.2%
#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 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)))
46.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) (*.f64 c x))))
▶50.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
62.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))))
60.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
59.7%
#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 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
47.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 c (*.f64 (*.f64 x x) (*.f64 (*.f64 s c) s)))))
51.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(approx (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
43.3%
#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 (*.f64 x x) c) c) s)) s))
▶42.3%
#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)))
58.3%
#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)))
16.2%
#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))))
48.2%
#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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))))
▶23.2%
#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) (*.f64 c c)) s) s)))
60.2%
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
Compiler

Compiled 1 916 to 1 236 computations (35.5% saved)

simplify101.0ms (1.1%)

Memory
22.5MiB live, 111.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
055446
086446
1207438
2823426
33611422
08062418
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c)))
(*.f64 x c)
c
(*.f64 s (*.f64 (*.f64 s x) c))
s
(*.f64 (*.f64 s x) c)
(*.f64 s x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s)
(/.f64 #s(literal -2 binary64) (*.f64 c c))
#s(literal -2 binary64)
(*.f64 c 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 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
(/.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)))
(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) (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 x x) (*.f64 s c))
(*.f64 s c)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x))
(/.f64 (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))
(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 #s(literal 2/3 binary64) (*.f64 x x))
#s(literal 2/3 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 s c) c) s)
(*.f64 (*.f64 s c) c)
(*.f64 s c)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c
(*.f64 s x)
s
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x))
(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 x c) (*.f64 s (*.f64 (*.f64 s x) c)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)
(*.f64 x c)
(*.f64 c x)
c
(*.f64 s (*.f64 (*.f64 s x) c))
(*.f64 (*.f64 (*.f64 s x) c) s)
s
(*.f64 (*.f64 s x) c)
(*.f64 s x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s)
(/.f64 #s(literal -2 binary64) (*.f64 c c))
#s(literal -2 binary64)
(*.f64 c 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 (*.f64 x x) (*.f64 s c)) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 s c) c)) s))
(/.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)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 s c) c)) s)
(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) (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)
(*.f64 (*.f64 x x) (*.f64 s c))
(*.f64 (*.f64 (*.f64 c x) x) s)
(*.f64 s c)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64))) x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64))) x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x))
(/.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 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64))) x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) c) s))
(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)))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64))) x #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
#s(literal 2/3 binary64)
(*.f64 x x)
x
(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)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 s c) c) s)
(*.f64 (*.f64 s c) c)
(*.f64 s c)
s
c
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x))
(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 c c) x) (*.f64 s x)) s)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) s) x)
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x)
(*.f64 (*.f64 c c) x)
(*.f64 c c)
c
(*.f64 s x)
s

localize136.0ms (1.5%)

Memory
11.0MiB live, 206.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.24220586941310063
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy3.3675489797373586
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)
accuracy6.1446863724418055
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))
accuracy8.958147175494135
(*.f64 (*.f64 c c) x)
accuracy7.268530082413212
(/.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))
accuracy12.996093750000002
(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)))
accuracy23.07035440508513
(/.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))
accuracy25.004085142542024
#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)))
accuracy4.003432780677721
(*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))
accuracy12.862567651661497
(/.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)))
accuracy12.98111076756205
(*.f64 (*.f64 x x) (*.f64 s c))
accuracy21.68487219262794
#s(approx (/ (cos (* 2 x)) (* (pow 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))))
accuracy3.1169476675473957
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)
accuracy7.13167820347774
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s)
accuracy21.68487219262794
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
accuracy27.38310189476979
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s))
accuracy0.24220586941310063
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy0.5872243121273957
(*.f64 s (*.f64 (*.f64 s x) c))
accuracy4.619453929687112
(*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c)))
accuracy4.675789939651624
(*.f64 (*.f64 s x) c)
Samples
107.0ms256×0valid
Compiler

Compiled 372 to 49 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 40.0ms (55.4% of total)
ival-div: 15.0ms (20.8% of total)
ival-cos: 6.0ms (8.3% of total)
const: 4.0ms (5.5% of total)
ival-pow2: 4.0ms (5.5% of total)
ival-add: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series102.0ms (1.1%)

Memory
-24.7MiB live, 77.3MiB allocated
Counts
24 → 38
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s)
(/.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 x x) (*.f64 s c)) (*.f64 s c))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(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)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x))
(/.f64 (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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)
(*.f64 (*.f64 s x) c)
(*.f64 s (*.f64 (*.f64 s x) c))
(*.f64 (*.f64 x x) (*.f64 s c))
(*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 c c) x)
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s 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 x 2)
(/ 1 (* (pow c 2) (pow s 2)))
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 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))))
(* c (* s x))
(* c (* (pow s 2) x))
(* c (* s (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* 2/3 (pow x 4))
(* (pow x 4) (- 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/3 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2))))
(* (pow x 2) (- (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))))
(* (pow x 2) (- (+ (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2))))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 2))))))
(* 2/3 (/ (pow x 4) (* (pow c 2) (pow s 2))))
(* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))))
(* (pow x 4) (- (+ (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2))))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 2))))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) s))
(/ (+ 1 (+ (* -2 (pow x 2)) (* 2/3 (pow x 4)))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (+ (* -2 (pow x 2)) (* 2/3 (pow x 4)))) (* (pow c 2) (pow s 2)))
Calls

9 calls:

TimeVariablePointExpression
47.0ms
c
@-inf
((/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* (* s x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ (/ -2 (* c c)) s) s) (/ (/ -2 (* c c)) s) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* (* (* c c) x) (* s x)) s) (* (* s x) c) (* s (* (* s x) c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* c c) x) (* (* (* c c) x) (* s x)))
13.0ms
x
@0
((/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* (* s x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ (/ -2 (* c c)) s) s) (/ (/ -2 (* c c)) s) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* (* (* c c) x) (* s x)) s) (* (* s x) c) (* s (* (* s x) c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* c c) x) (* (* (* c c) x) (* s x)))
6.0ms
c
@inf
((/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* (* s x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ (/ -2 (* c c)) s) s) (/ (/ -2 (* c c)) s) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* (* (* c c) x) (* s x)) s) (* (* s x) c) (* s (* (* s x) c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* c c) x) (* (* (* c c) x) (* s x)))
6.0ms
s
@-inf
((/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* (* s x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ (/ -2 (* c c)) s) s) (/ (/ -2 (* c c)) s) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* (* (* c c) x) (* s x)) s) (* (* s x) c) (* s (* (* s x) c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* c c) x) (* (* (* c c) x) (* s x)))
6.0ms
c
@0
((/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (cos (* 2 x)) (* 2 x) (* (* x c) (* s (* (* s x) c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/ (/ (/ -2 (* c c)) s) s) (/ (/ -2 (* c c)) s) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) (* s c)) (* s c))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (+ (* -2 (* x x)) 1) (* x x) (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s x)) s)) (* (* (* (* c c) x) (* s x)) s) (* (* s x) c) (* s (* (* s x) c)) (* (* x x) (* s c)) (* (* (* x x) (* s c)) (* s c)) (* (* c c) x) (* (* (* c c) x) (* s x)))

simplify248.0ms (2.7%)

Memory
19.1MiB live, 147.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093674
1257634
2881538
35854538
08989516
Stop Event
1×iter limit
1×node limit
Counts
38 → 38
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 x 2)
(/ 1 (* (pow c 2) (pow s 2)))
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 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))))
(* c (* s x))
(* c (* (pow s 2) x))
(* c (* s (pow x 2)))
(* (pow c 2) x)
(* (pow c 2) (* s (pow x 2)))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(cos (* 2 x))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* 2/3 (pow x 4))
(* (pow x 4) (- 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/3 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2))))
(* (pow x 2) (- (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))))
(* (pow x 2) (- (+ (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2))))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 2))))))
(* 2/3 (/ (pow x 4) (* (pow c 2) (pow s 2))))
(* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))))
(* (pow x 4) (- (+ (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2))))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 2))))))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) s))
(/ (+ 1 (+ (* -2 (pow x 2)) (* 2/3 (pow x 4)))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (+ 1 (+ (* -2 (pow x 2)) (* 2/3 (pow x 4)))) (* (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 (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))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (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) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) s) (*.f64 (*.f64 c c) s)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 c c) s))) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4/45 binary64)) #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 s x) x) c) s) c)
(pow x 2)
(*.f64 x x)
(/ 1 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)
(+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 c c) s))
(+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) s) (*.f64 (*.f64 c c) s))
(* c (* s x))
(*.f64 (*.f64 s x) c)
(* c (* (pow s 2) x))
(*.f64 (*.f64 (*.f64 s x) s) c)
(* c (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 s x) x) c)
(* (pow c 2) x)
(*.f64 (*.f64 c c) x)
(* (pow c 2) (* s (pow x 2)))
(*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) c)
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(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 (*.f64 c c) s)) s)
(- (/ 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)
(* 2/3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64))
(* (pow x 4) (- 2/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 2/3 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/3 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2))))
(*.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 s s)) x) (/.f64 (/.f64 x c) c))
(* (pow x 2) (- (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))
(* (pow x 2) (- (+ (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2))))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 2))))))
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) s) (*.f64 (pow.f64 x #s(literal 4 binary64)) s)) (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c)))
(* 2/3 (/ (pow x 4) (* (pow c 2) (pow s 2))))
(*.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 c c) s)) (/.f64 (pow.f64 x #s(literal 4 binary64)) s))
(* (pow x 4) (- (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 s (*.f64 (*.f64 (*.f64 c c) s) x))) x) (/.f64 (/.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 c c)) s) s)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1 (* (pow c 2) (* (pow s 2) (pow x 4)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2))))) (/ 2 (* (pow c 2) (* (pow s 2) (pow x 2))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) s)) s) (/.f64 #s(literal 2/3 binary64) (*.f64 s s))) (*.f64 c c)) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 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 (* (pow c 2) s))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 c c) s))
(/ (+ 1 (+ (* -2 (pow x 2)) (* 2/3 (pow x 4)))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))
(/ (+ 1 (+ (* -2 (pow x 2)) (* 2/3 (pow x 4)))) (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) s) (*.f64 (*.f64 c c) s))

rewrite317.0ms (3.5%)

Memory
-21.5MiB live, 224.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055365
086365
1276317
21706289
08440285
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 068
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s)
(/.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 x x) (*.f64 s c)) (*.f64 s c))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(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)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x))
(/.f64 (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 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)
(*.f64 (*.f64 s x) c)
(*.f64 s (*.f64 (*.f64 s x) c))
(*.f64 (*.f64 x x) (*.f64 s c))
(*.f64 (*.f64 (*.f64 x x) (*.f64 s c)) (*.f64 s c))
(*.f64 (*.f64 c c) x)
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))
Outputs
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x)) (neg.f64 (*.f64 (*.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 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x))) (neg.f64 (*.f64 (*.f64 s s) x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) s)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s s) x))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s c) x))) (neg.f64 s))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) s)) (neg.f64 (*.f64 (*.f64 s c) x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x))) (neg.f64 (*.f64 (*.f64 s c) x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) s))) (neg.f64 (*.f64 c x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x)) (neg.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x)))) (neg.f64 (neg.f64 s)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 s c) x) s))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s 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 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) x) (*.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (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 (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)) s) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s s) x)) c)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s c) x)) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) s) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) s)) (*.f64 c x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x))) (neg.f64 s))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x))) (neg.f64 (*.f64 (*.f64 (*.f64 s c) x) s)))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x)) s)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s c) x) 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)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.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 (*.f64 (*.f64 c c) x) s) x)) s) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x)) s))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s c) x) s)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s c) x) s)))
(-.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 x #s(literal 2 binary64))) #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 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 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 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 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 (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 (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 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #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 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (cos.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))))) (/.f64 (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))))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)
(*.f64 (neg.f64 (*.f64 (*.f64 s c) (neg.f64 x))) (neg.f64 (*.f64 (*.f64 s c) (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 s c))) (neg.f64 (*.f64 (neg.f64 x) (*.f64 s c))))
(*.f64 (fabs.f64 (*.f64 (*.f64 s c) (neg.f64 x))) (fabs.f64 (*.f64 (*.f64 s c) (neg.f64 x))))
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) (*.f64 s c))) (fabs.f64 (*.f64 (neg.f64 x) (*.f64 s c))))
(*.f64 (fabs.f64 (*.f64 (*.f64 s c) x)) (fabs.f64 (*.f64 (*.f64 s c) x)))
(*.f64 (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)) c)
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (neg.f64 c)) (neg.f64 c))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
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(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s c) x) s)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s c) x) s)))
(-.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 x #s(literal 2 binary64))) #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 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 (*.f64 s c) (neg.f64 x))) (neg.f64 (*.f64 (*.f64 s c) (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 s c))) (neg.f64 (*.f64 (neg.f64 x) (*.f64 s c))))
(*.f64 (fabs.f64 (*.f64 (*.f64 s c) (neg.f64 x))) (fabs.f64 (*.f64 (*.f64 s c) (neg.f64 x))))
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) (*.f64 s c))) (fabs.f64 (*.f64 (neg.f64 x) (*.f64 s c))))
(*.f64 (fabs.f64 (*.f64 (*.f64 s c) x)) (fabs.f64 (*.f64 (*.f64 s c) x)))
(*.f64 (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)) c)
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (neg.f64 c)) (neg.f64 c))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (*.f64 s (*.f64 (*.f64 (*.f64 c c) x) s)) x)
(*.f64 (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s x)) c)
(*.f64 (*.f64 (*.f64 (*.f64 s c) x) c) (*.f64 s x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) x) s) x) c)
(*.f64 (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) x)) s)
(*.f64 (*.f64 (*.f64 (*.f64 s s) c) (*.f64 x x)) c)
(*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) (*.f64 c x))
(*.f64 (neg.f64 (*.f64 (*.f64 s c) x)) (neg.f64 (*.f64 (*.f64 s c) x)))
(*.f64 (*.f64 (*.f64 s c) (neg.f64 x)) (*.f64 (*.f64 s c) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 x) (*.f64 s c)) (*.f64 (neg.f64 x) (*.f64 s c)))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) s) (*.f64 (*.f64 s c) c))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x) s)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) s) c)
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s))
(*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) (*.f64 s c))
(*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 c x) x) s))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 x x) s) s))
(*.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(*.f64 (*.f64 (*.f64 (*.f64 s c) x) s) (*.f64 c x))
(*.f64 (*.f64 s x) (*.f64 (*.f64 (*.f64 c c) x) s))
(*.f64 s (*.f64 (*.f64 (*.f64 s c) c) (*.f64 x x)))
(*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x))
(*.f64 (*.f64 c x) (*.f64 (*.f64 (*.f64 s c) x) s))
(*.f64 c (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))
(*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) s))
(*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) c)))
(*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)))
(*.f64 x (*.f64 x (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (*.f64 (*.f64 s c) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) (*.f64 s c)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))
(*.f64 (*.f64 s c) x)
(*.f64 (*.f64 s x) c)
(*.f64 s (*.f64 c x))
(*.f64 (*.f64 c x) s)
(*.f64 c (*.f64 s x))
(*.f64 x (*.f64 s c))
(*.f64 (*.f64 (*.f64 s c) x) s)
(*.f64 (*.f64 s c) (*.f64 s x))
(*.f64 (*.f64 (*.f64 s s) x) c)
(*.f64 (*.f64 s s) (*.f64 c x))
(*.f64 (*.f64 s x) (*.f64 s c))
(*.f64 s (*.f64 (*.f64 s c) x))
(*.f64 c (*.f64 (*.f64 s s) x))
(*.f64 (*.f64 (*.f64 s c) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 s c) x) x)
(*.f64 (*.f64 (*.f64 x x) s) c)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 s c)))
(*.f64 (*.f64 s c) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 s c))
(*.f64 (*.f64 (*.f64 c x) x) s)
(*.f64 s (*.f64 (*.f64 c x) x))
(*.f64 c (*.f64 (*.f64 x x) s))
(*.f64 x (*.f64 (*.f64 s c) x))
(*.f64 (neg.f64 (*.f64 (*.f64 s c) (neg.f64 x))) (neg.f64 (*.f64 (*.f64 s c) (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 s c))) (neg.f64 (*.f64 (neg.f64 x) (*.f64 s c))))
(*.f64 (fabs.f64 (*.f64 (*.f64 s c) (neg.f64 x))) (fabs.f64 (*.f64 (*.f64 s c) (neg.f64 x))))
(*.f64 (fabs.f64 (*.f64 (neg.f64 x) (*.f64 s c))) (fabs.f64 (*.f64 (neg.f64 x) (*.f64 s c))))
(*.f64 (fabs.f64 (*.f64 (*.f64 s c) x)) (fabs.f64 (*.f64 (*.f64 s c) x)))
(*.f64 (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)) c)
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (neg.f64 c)) (neg.f64 c))
(*.f64 (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(*.f64 (*.f64 s (*.f64 (*.f64 (*.f64 c c) x) s)) x)
(*.f64 (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s x)) c)
(*.f64 (*.f64 (*.f64 (*.f64 s c) x) c) (*.f64 s x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 s c) x) s) x) c)
(*.f64 (*.f64 (*.f64 c x) (*.f64 (*.f64 s c) x)) s)
(*.f64 (*.f64 (*.f64 (*.f64 s s) c) (*.f64 x x)) c)
(*.f64 (*.f64 (*.f64 (*.f64 s s) c) x) (*.f64 c x))
(*.f64 (neg.f64 (*.f64 (*.f64 s c) x)) (neg.f64 (*.f64 (*.f64 s c) x)))
(*.f64 (*.f64 (*.f64 s c) (neg.f64 x)) (*.f64 (*.f64 s c) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 x) (*.f64 s c)) (*.f64 (neg.f64 x) (*.f64 s c)))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))
(*.f64 (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) s) (*.f64 (*.f64 s c) c))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x) s)
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) s) c)
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x))
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 (*.f64 s s) x))
(*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 s c) c) (*.f64 (*.f64 x x) s))
(*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) (*.f64 s c))
(*.f64 (*.f64 s c) (*.f64 (*.f64 (*.f64 c x) x) s))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(*.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 x x) s) s))
(*.f64 (*.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 s s) c) (*.f64 (*.f64 c x) x))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 (*.f64 s s) c))
(*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(*.f64 (*.f64 (*.f64 s s) x) (*.f64 (*.f64 c c) x))
(*.f64 (*.f64 (*.f64 (*.f64 s c) x) s) (*.f64 c x))
(*.f64 (*.f64 s x) (*.f64 (*.f64 (*.f64 c c) x) s))
(*.f64 s (*.f64 (*.f64 (*.f64 s c) c) (*.f64 x x)))
(*.f64 s (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x))
(*.f64 (*.f64 c x) (*.f64 (*.f64 (*.f64 s c) x) s))
(*.f64 c (*.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(*.f64 c (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) x)))
(*.f64 c (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) s))
(*.f64 x (*.f64 (*.f64 c x) (*.f64 (*.f64 s s) c)))
(*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)))
(*.f64 x (*.f64 x (pow.f64 (*.f64 s c) #s(literal 2 binary64))))
(*.f64 x (*.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (*.f64 (*.f64 s c) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) (*.f64 s c)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 s c) x) #s(literal 2 binary64))
(*.f64 (*.f64 x (neg.f64 c)) (neg.f64 c))
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) x))
(*.f64 (*.f64 c c) x)
(*.f64 (*.f64 c x) c)
(*.f64 c (*.f64 c x))
(*.f64 x (*.f64 c c))
(*.f64 (*.f64 (*.f64 (*.f64 c x) x) c) s)
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) x) s)
(*.f64 (*.f64 (*.f64 s x) (*.f64 c c)) x)
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 c x))
(*.f64 (*.f64 (*.f64 x x) s) (*.f64 c c))
(*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) x)
(*.f64 (neg.f64 c) (*.f64 (neg.f64 c) (*.f64 (*.f64 x x) s)))
(*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x))
(*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) c)
(*.f64 (*.f64 s c) (*.f64 (*.f64 c x) x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 s c) c))
(*.f64 (*.f64 c c) (*.f64 (*.f64 x x) s))
(*.f64 (*.f64 (*.f64 c x) x) (*.f64 s c))
(*.f64 (*.f64 s x) (*.f64 (*.f64 c c) x))
(*.f64 s (*.f64 x (*.f64 (*.f64 c c) x)))
(*.f64 c (*.f64 (*.f64 c x) (*.f64 s x)))
(*.f64 c (*.f64 (*.f64 (*.f64 c x) x) s))
(*.f64 x (*.f64 (*.f64 c x) (*.f64 s c)))
(*.f64 x (*.f64 (*.f64 (*.f64 c c) x) s))

eval233.0ms (2.6%)

Memory
9.3MiB live, 237.8MiB allocated
Compiler

Compiled 50 683 to 4 242 computations (91.6% saved)

prune96.0ms (1%)

Memory
27.6MiB live, 120.4MiB allocated
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New1 103221 125
Fresh171027
Picked505
Done000
Total1 125321 157
Accuracy
100.0%
Counts
1 157 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s c) x)) s)
76.5%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) c) x)) c)
82.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 s x) x)) c)) c)
▶97.7%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
77.9%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
77.5%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
90.9%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
84.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) c) s))
97.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
91.1%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 (*.f64 c x) (*.f64 s c))) s))
▶95.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
56.6%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 s s))) c)
43.3%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
68.9%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
74.1%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
58.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
50.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) (*.f64 s c))))
58.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) x) (*.f64 s c))))
62.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))))
59.7%
#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 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
▶42.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x)))
53.1%
#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)) x) (*.f64 (*.f64 s c) x)) c) s))
56.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) (*.f64 x x)))
▶16.2%
#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))))
20.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
58.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))))
23.4%
#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) (*.f64 (*.f64 s c) c)) s)))
26.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s))))
28.9%
#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 s) c))))
▶26.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
64.5%
#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
60.2%
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
Compiler

Compiled 1 952 to 1 272 computations (34.8% saved)

simplify127.0ms (1.4%)

Memory
-23.6MiB live, 81.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s 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 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x)))
cost-diff3
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff0
#s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff0
(/.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)))
cost-diff0
#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))))
cost-diff0
(*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))
cost-diff0
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))
cost-diff0
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
cost-diff1
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
(cos.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x))
cost-diff0
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055418
085413
1191413
2650398
32631398
08161398
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (*.f64 s c) x)
(*.f64 s c)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))
(*.f64 (neg.f64 c) c)
(neg.f64 c)
c
(*.f64 s s)
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))))
(/.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 (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(*.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
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x)))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 s s) c)
(*.f64 s s)
s
c
(*.f64 (*.f64 c x) x)
(*.f64 c x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))
(*.f64 (*.f64 s c) x)
(*.f64 s c)
s
c
Outputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) c)
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) x)
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
(*.f64 (*.f64 s c) x)
(*.f64 (*.f64 c s) x)
(*.f64 s c)
(*.f64 c s)
s
c
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 s s) c) c))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 s s) c) c)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 s s) c) c))
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))
(*.f64 (*.f64 (neg.f64 s) c) (*.f64 c s))
(*.f64 (neg.f64 c) c)
(neg.f64 c)
c
(*.f64 s s)
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 (/.f64 (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s s) c)) c))
(/.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)))
(/.f64 (/.f64 (/.f64 #s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x x)) (*.f64 (*.f64 s s) c)) c)
#s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (+ (* -2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 s (*.f64 x x)) (*.f64 (*.f64 c c) s))
(*.f64 (*.f64 x x) c)
c
(*.f64 (*.f64 s c) s)
(*.f64 (*.f64 s s) c)
(*.f64 s c)
(*.f64 c s)
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 c c)) (*.f64 s s)))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 c c)) (*.f64 s s))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 s s))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 s s) c)
(*.f64 s s)
s
c
(*.f64 (*.f64 c x) x)
(*.f64 (*.f64 x x) c)
(*.f64 c x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s)) c)
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)))
(*.f64 (*.f64 s (*.f64 x x)) (*.f64 (*.f64 c c) s))
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))
(*.f64 (*.f64 (*.f64 (*.f64 c c) s) x) s)
(*.f64 (*.f64 s c) x)
(*.f64 (*.f64 c s) x)
(*.f64 s c)
(*.f64 c s)
s
c

localize161.0ms (1.8%)

Memory
22.3MiB live, 259.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))
accuracy0.24220586941310063
(cos.f64 (*.f64 #s(literal 2 binary64) x))
accuracy2.7055198619823484
(*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)))
accuracy4.858962925932208
(*.f64 (*.f64 s c) x)
accuracy6.878149902614529
(*.f64 (*.f64 s s) c)
accuracy9.747043521135268
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c))
accuracy16.07682585082649
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x))
accuracy21.68487219262794
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x)))
accuracy11.820365941716139
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
accuracy12.862567651661497
(/.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)))
accuracy21.68487219262794
#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))))
accuracy31.13834933240988
#s(approx (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy0.4972107332810059
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))
accuracy13.839204995225574
(*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))
accuracy21.68487219262794
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
accuracy27.38310189476979
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))
accuracy0.139003759768442
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
accuracy0.24220586941310063
(cos.f64 (*.f64 #s(literal -2 binary64) x))
accuracy0.816551001752118
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x))
accuracy4.858962925932208
(*.f64 (*.f64 s c) x)
Samples
129.0ms256×0valid
Compiler

Compiled 324 to 44 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-div: 45.0ms (47.3% of total)
ival-mult: 31.0ms (32.6% of total)
ival-cos: 11.0ms (11.6% of total)
ival-pow2: 4.0ms (4.2% of total)
ival-add: 2.0ms (2.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory
-19.8MiB live, 80.2MiB allocated
Counts
24 → 34
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))
(*.f64 (*.f64 (neg.f64 c) c) (*.f64 s 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))))
(/.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 (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) 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 s s) c)) (*.f64 (*.f64 c x) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)))
(*.f64 (*.f64 s c) x)
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 s s) c)
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 s 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)
(* -2 (pow x 2))
(/ 1 (* c (pow s 2)))
(+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2))))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* (pow c 2) (* (pow s 2) x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* c (* s x)))
(cos (* -2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (/ (pow x 2) (* c (pow s 2))))
(* (pow x 2) (- (/ 1 (* c (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* c (pow s 2))))))
(cos (* 2 x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* c (pow s 2)))
(* c (pow s 2))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
s
@inf
((/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* -2 x)) (* (* s c) x)) (cos (* -2 x)) (* -2 x) (/ 2 (* (* (neg c) c) (* s s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (neg c) c) (* s s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (* (* c x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* x (* (* (* s c) x) (* s c)))) (cos (* 2 x)) (* 2 x) (* x (* (* (* s c) x) (* s c))) (* (* s c) x) (* (* (* x x) c) (* (* s c) s)) (* (* s s) c) (* (* (* s c) x) (* s c)))
7.0ms
x
@inf
((/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* -2 x)) (* (* s c) x)) (cos (* -2 x)) (* -2 x) (/ 2 (* (* (neg c) c) (* s s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (neg c) c) (* s s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (* (* c x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* x (* (* (* s c) x) (* s c)))) (cos (* 2 x)) (* 2 x) (* x (* (* (* s c) x) (* s c))) (* (* s c) x) (* (* (* x x) c) (* (* s c) s)) (* (* s s) c) (* (* (* s c) x) (* s c)))
7.0ms
c
@-inf
((/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* -2 x)) (* (* s c) x)) (cos (* -2 x)) (* -2 x) (/ 2 (* (* (neg c) c) (* s s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (neg c) c) (* s s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (* (* c x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* x (* (* (* s c) x) (* s c)))) (cos (* 2 x)) (* 2 x) (* x (* (* (* s c) x) (* s c))) (* (* s c) x) (* (* (* x x) c) (* (* s c) s)) (* (* s s) c) (* (* (* s c) x) (* s c)))
6.0ms
c
@inf
((/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* -2 x)) (* (* s c) x)) (cos (* -2 x)) (* -2 x) (/ 2 (* (* (neg c) c) (* s s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (neg c) c) (* s s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (* (* c x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* x (* (* (* s c) x) (* s c)))) (cos (* 2 x)) (* 2 x) (* x (* (* (* s c) x) (* s c))) (* (* s c) x) (* (* (* x x) c) (* (* s c) s)) (* (* s s) c) (* (* (* s c) x) (* s c)))
6.0ms
s
@-inf
((/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/ (cos (* -2 x)) (* (* s c) x)) (cos (* -2 x)) (* -2 x) (/ 2 (* (* (neg c) c) (* s s))) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (* (* (neg c) c) (* s s)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (+ (* -2 (* x x)) 1) (* -2 (* x x)) (/ (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (* (* c x) x)) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (+ (* (* x x) -2) 1) (/ (cos (* 2 x)) (* x (* (* (* s c) x) (* s c)))) (cos (* 2 x)) (* 2 x) (* x (* (* (* s c) x) (* s c))) (* (* s c) x) (* (* (* x x) c) (* (* s c) s)) (* (* s s) c) (* (* (* s c) x) (* s c)))

simplify155.0ms (1.7%)

Memory
11.0MiB live, 200.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097504
1277464
21001434
36153420
08052403
Stop Event
1×iter limit
1×node limit
Counts
34 → 34
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)
(* -2 (pow x 2))
(/ 1 (* c (pow s 2)))
(+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2))))
(* 2 x)
(* (pow c 2) (* (pow s 2) (pow x 2)))
(* c (* s x))
(* (pow c 2) (* (pow s 2) x))
(/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ (cos (* -2 x)) (* c (* s x)))
(cos (* -2 x))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/ -2 (* (pow c 2) (pow s 2)))
(- (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) 2))
(* -2 (/ (pow x 2) (* c (pow s 2))))
(* (pow x 2) (- (/ 1 (* c (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* c (pow s 2))))))
(cos (* 2 x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(* -1 (* (pow c 2) (pow s 2)))
(/ (+ 1 (* -2 (pow x 2))) (* c (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)) s) (*.f64 (*.f64 c s) c)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 (*.f64 c s) c))) (*.f64 x x))
(/ 1 (* c (* s x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) 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 c s)) (/.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)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(/ 1 (* c (pow s 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) s)
(+ (* -2 (/ (pow x 2) (* c (pow s 2)))) (/ 1 (* c (pow s 2))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c s))
(* 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)
(* (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) x)) s)
(/ (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))
(/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s)
(/ -2 (* (pow c 2) (pow s 2)))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)
(- (/ 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))
(* (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)
(* -2 (/ (pow x 2) (* c (pow s 2))))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x c)) (/.f64 (/.f64 x s) s))
(* (pow x 2) (- (/ 1 (* c (* (pow s 2) (pow x 2)))) (* 2 (/ 1 (* c (pow s 2))))))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 s s)) c) (*.f64 x x))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(/ (+ 1 (* -2 (pow x 2))) (* (pow c 2) (* (pow s 2) (pow x 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s))
(* -1 (* (pow c 2) (pow s 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c)
(/ (+ 1 (* -2 (pow x 2))) (* c (pow s 2)))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) s) (*.f64 c s))
(* c (pow s 2))
(*.f64 (*.f64 c s) s)

rewrite186.0ms (2%)

Memory
4.5MiB live, 247.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055348
085343
1262291
21256278
08670278
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 123
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))
(*.f64 (*.f64 (neg.f64 c) c) (*.f64 s 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))))
(/.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 (+ (* -2 (* x x)) 1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) 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 s s) c)) (*.f64 (*.f64 c x) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c)))
(*.f64 (*.f64 s c) x)
(*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))
(*.f64 (*.f64 s s) c)
(*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))
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 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) x) x)) (*.f64 (neg.f64 s) c))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 (*.f64 (*.f64 c s) x) s))) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) x) (*.f64 (*.f64 c s) x))) (*.f64 (neg.f64 s) c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 c s) x) x))) (*.f64 (neg.f64 s) c))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s s) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c c)) x)) (neg.f64 (*.f64 (*.f64 s s) x)))
(/.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))) (*.f64 (neg.f64 c) c))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) x) s)) (*.f64 (neg.f64 x) c))
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(fma.f64 (*.f64 (*.f64 c c) x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 c c) x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (*.f64 (*.f64 s s) x) (*.f64 (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (*.f64 (*.f64 s s) x)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 (*.f64 c c) x) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 (*.f64 c c) x)))
(fma.f64 (*.f64 (*.f64 s s) x) (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 s s) x) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 (*.f64 c c) x)) (*.f64 (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64))) (*.f64 (*.f64 c c) x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (*.f64 (*.f64 s s) x)) (*.f64 (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (*.f64 (*.f64 s s) x)))
(+.f64 (*.f64 (*.f64 (*.f64 c c) x) (cosh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 c c) x) (sinh.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 s s) x) (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 s s) x) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))))

eval114.0ms (1.2%)

Memory
-0.9MiB live, 233.8MiB allocated
Compiler

Compiled 34 933 to 3 623 computations (89.6% saved)

prune65.0ms (0.7%)

Memory
4.0MiB live, 151.3MiB allocated
Pruning

40 alts after pruning (37 fresh and 3 done)

PrunedKeptTotal
New92315938
Fresh52227
Picked235
Done000
Total93040970
Accuracy
100.0%
Counts
970 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) x) (*.f64 (*.f64 s c) x))
97.7%
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
93.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) (*.f64 (*.f64 (*.f64 c s) x) x))
82.2%
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s (*.f64 (*.f64 s x) x)) c)) c)
78.6%
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
77.9%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
77.5%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
90.9%
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
84.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) c) s))
97.7%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
✓95.2%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
92.6%
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c))))
56.6%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.f64 s s))) c)
58.5%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 s c) x))
78.6%
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)) (*.f64 (*.f64 s c) x))
43.3%
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
68.9%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
74.1%
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
67.9%
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
51.7%
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c s) c) s)))
58.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) (*.f64 c c))))
50.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) s) c) (*.f64 s c))))
58.5%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 s c) x) x) (*.f64 s c))))
62.3%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))))
59.7%
#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 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
18.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 s s) c) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 s s) c))) (*.f64 (*.f64 c x) x)))
✓42.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) x)))
66.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) s)) (*.f64 (*.f64 c x) x)))
56.1%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) (*.f64 x x)))
20.4%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
58.7%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))))
23.4%
#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) (*.f64 (*.f64 s c) 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) (*.f64 s s)) (*.f64 c c))))
26.0%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 s s))))
28.9%
#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 s) c))))
29.2%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
23.8%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
23.9%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) c) (*.f64 c s)))))
✓26.6%
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
60.2%
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
Compiler

Compiled 3 700 to 1 233 computations (66.7% saved)

regimes258.0ms (2.8%)

Memory
26.9MiB live, 235.4MiB allocated
Counts
84 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.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 (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 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 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s 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 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 s c) x) x) (*.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 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 x x) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) s)) (*.f64 (*.f64 c x) x)))
#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)) (* (* s c) x)) (* (* s c) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)) (*.f64 (*.f64 s c) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) 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 (*.f64 x x) c) c) s)) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 s c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
#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)) x) (*.f64 (*.f64 s c) x)) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s)) (*.f64 x x))) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 s s) c) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 s s) c))) (*.f64 (*.f64 c 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 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) (*.f64 s x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s s) (*.f64 c x))))
(/.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 x (*.f64 (*.f64 c x) (*.f64 s c))) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) c) s))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.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 (*.f64 (*.f64 s x) x)) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) 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 c s)) (*.f64 (*.f64 (*.f64 c s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s c) 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 c s)) x) (*.f64 (*.f64 s c) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 (*.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 s x) (*.f64 s x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 s x) s) x)))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (cos.f64 x)) x) #s(approx (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x)) (/.f64 (/.f64 (-.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (*.f64 c x) c)) (*.f64 s s))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) x) c)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 c x)) (*.f64 (*.f64 (*.f64 s s) 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 (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)))
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) x) (*.f64 (*.f64 s c) x))
Calls

6 calls:

91.0ms
c
45.0ms
(pow.f64 c #s(literal 2 binary64))
41.0ms
(/.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)))
37.0ms
s
20.0ms
x
Results
AccuracySegmentsBranch
97.7%1(pow.f64 s #s(literal 2 binary64))
97.7%1(pow.f64 c #s(literal 2 binary64))
97.7%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
97.7%1x
97.7%1c
97.7%1s
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes181.0ms (2%)

Memory
-15.8MiB live, 91.0MiB allocated
Counts
73 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.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 (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 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 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s 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 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 s c) x) x) (*.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 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 x x) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) s)) (*.f64 (*.f64 c x) x)))
#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)) (* (* s c) x)) (* (* s c) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)) (*.f64 (*.f64 s c) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) 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 (*.f64 x x) c) c) s)) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 s c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
#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)) x) (*.f64 (*.f64 s c) x)) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s)) (*.f64 x x))) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 s s) c) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 s s) c))) (*.f64 (*.f64 c 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 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) (*.f64 s x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s s) (*.f64 c x))))
(/.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 x (*.f64 (*.f64 c x) (*.f64 s c))) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) c) s))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.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 (*.f64 (*.f64 s x) x)) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) 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 c s)) (*.f64 (*.f64 (*.f64 c s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s c) x)) s)
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 c c) x)) (*.f64 s x)) s)
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s c) x)) s)
Calls

6 calls:

70.0ms
(pow.f64 c #s(literal 2 binary64))
39.0ms
x
18.0ms
s
18.0ms
c
18.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
97.7%1(pow.f64 s #s(literal 2 binary64))
97.7%1(pow.f64 c #s(literal 2 binary64))
97.7%1c
97.7%1s
97.7%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
99.3%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes43.0ms (0.5%)

Memory
-3.2MiB live, 44.5MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.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 (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 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 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s 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 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 s c) x) x) (*.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 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 x x) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) s)) (*.f64 (*.f64 c x) x)))
#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)) (* (* s c) x)) (* (* s c) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)) (*.f64 (*.f64 s c) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) 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 (*.f64 x x) c) c) s)) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 s c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
#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)) x) (*.f64 (*.f64 s c) x)) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s)) (*.f64 x x))) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 s s) c) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 s s) c))) (*.f64 (*.f64 c 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 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) (*.f64 s x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s s) (*.f64 c x))))
(/.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 x (*.f64 (*.f64 c x) (*.f64 s c))) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) c) s))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.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 (*.f64 (*.f64 s x) x)) c)) c)
(/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s s) x) 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 c s)) (*.f64 (*.f64 (*.f64 c s) x) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c c)) (*.f64 (*.f64 s x) x)) s))
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 s s)) (*.f64 c x))
Outputs
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
Calls

2 calls:

26.0ms
x
14.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
97.7%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
97.7%1x
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes124.0ms (1.4%)

Memory
-21.7MiB live, 122.6MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.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 (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 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 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s 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 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 s c) x) x) (*.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 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 x x) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) s)) (*.f64 (*.f64 c x) x)))
#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)) (* (* s c) x)) (* (* s c) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)) (*.f64 (*.f64 s c) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) 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 (*.f64 x x) c) c) s)) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 s c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
#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)) x) (*.f64 (*.f64 s c) x)) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s)) (*.f64 x x))) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 s s) c) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 s s) c))) (*.f64 (*.f64 c 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 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) (*.f64 s x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s s) (*.f64 c x))))
(/.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 x (*.f64 (*.f64 c x) (*.f64 s c))) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) (*.f64 s c)) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) s) (*.f64 s x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 s c) c) s) (*.f64 x x)))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) x) s) c) s))
Outputs
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
Calls

6 calls:

41.0ms
c
20.0ms
(pow.f64 s #s(literal 2 binary64))
20.0ms
x
15.0ms
s
13.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
97.7%1(pow.f64 s #s(literal 2 binary64))
97.7%1(pow.f64 c #s(literal 2 binary64))
97.7%1c
97.7%1s
97.7%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
97.7%1x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes97.0ms (1.1%)

Memory
35.1MiB live, 128.2MiB allocated
Counts
56 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.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 (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 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 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s 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 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 s c) x) x) (*.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 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 x x) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) s)) (*.f64 (*.f64 c x) x)))
#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)) (* (* s c) x)) (* (* s c) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)) (*.f64 (*.f64 s c) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) 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 (*.f64 x x) c) c) s)) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 s c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
#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)) x) (*.f64 (*.f64 s c) x)) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s)) (*.f64 x x))) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 s s) c) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 s s) c))) (*.f64 (*.f64 c 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 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 s c) x) (*.f64 s c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s c) (*.f64 s x))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 s s) (*.f64 c x))))
(/.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 x (*.f64 (*.f64 c x) (*.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 x) c) (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c))))
Calls

6 calls:

25.0ms
c
18.0ms
s
14.0ms
x
13.0ms
(pow.f64 c #s(literal 2 binary64))
13.0ms
(pow.f64 s #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.2%1(pow.f64 s #s(literal 2 binary64))
97.0%2(pow.f64 c #s(literal 2 binary64))
97.0%2c
95.2%1s
95.2%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
97.8%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes47.0ms (0.5%)

Memory
-5.0MiB live, 42.0MiB allocated
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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.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 (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 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 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s 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 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 s c) x) x) (*.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 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 x x) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) s)) (*.f64 (*.f64 c x) x)))
#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)) (* (* s c) x)) (* (* s c) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)) (*.f64 (*.f64 s c) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) 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 (*.f64 x x) c) c) s)) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 s c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
#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)) x) (*.f64 (*.f64 s c) x)) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s)) (*.f64 x x))) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 s s) c) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 s s) c))) (*.f64 (*.f64 c 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 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (*.f64 (*.f64 (*.f64 x x) c) (*.f64 (*.f64 s c) s))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))))
(/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
Calls

3 calls:

21.0ms
x
12.0ms
c
11.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
92.7%2(pow.f64 c #s(literal 2 binary64))
92.7%2c
96.7%2x
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes80.0ms (0.9%)

Memory
-1.1MiB live, 50.7MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.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 (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 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 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s 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 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 s c) x) x) (*.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 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 x x) s) c) (*.f64 s c))))
#s(approx (/ (cos (* 2 x)) (* (* x c) (* s (* (* s x) c)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) x) x)) s) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* x x) -2) 1) (* (* s s) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) s)) (*.f64 (*.f64 c x) x)))
#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)) (* (* s c) x)) (* (* s c) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c s)) x)) (*.f64 (*.f64 s c) x))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) c)) (*.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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 x x) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) c) (*.f64 (*.f64 (*.f64 (*.f64 s x) x) c) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s s) c)) (*.f64 (*.f64 c x) 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 (*.f64 x x) c) c) s)) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* s c) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 s x) c))) (*.f64 (*.f64 s c) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 #s(approx (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 s s)) c) c)) (*.f64 x x)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x c) (*.f64 (*.f64 (*.f64 s s) x) c)))
#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)) x) (*.f64 (*.f64 s c) x)) c) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (* (* (* s s) x) x) c)) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) c) (*.f64 s s)) (*.f64 x x))) c)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s c) c) s)) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 s s) c) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) (*.f64 (*.f64 s s) c))) (*.f64 (*.f64 c 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))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
Calls

6 calls:

24.0ms
(pow.f64 s #s(literal 2 binary64))
12.0ms
c
12.0ms
x
11.0ms
s
10.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
78.6%1(pow.f64 c #s(literal 2 binary64))
78.6%1c
80.6%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
78.6%1(pow.f64 s #s(literal 2 binary64))
78.6%1s
81.2%2x
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes17.0ms (0.2%)

Memory
-29.4MiB live, 16.1MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
#s(approx (/ (/ (cos (* -2 x)) (* (* s c) x)) (* (* s c) x)) (/.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 (* (* (* x x) c) (* (* s c) s)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c x) c) x) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 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 (*.f64 s (*.f64 c x)) (*.f64 s (*.f64 c x)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
(/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
80.6%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
78.6%1x
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes25.0ms (0.3%)

Memory
31.9MiB live, 31.9MiB allocated
Counts
13 → 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 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (/ (+ (* (* 2/3 (* x x)) (* x x)) (+ (* -2 (* x x)) 1)) (* (* (* s c) c) s)) (* x x)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 s c) s) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 c c)) s) s)))
#s(approx (* (/ (+ (sin x) (cos x)) x) (/ (- (cos x) (sin x)) (* (pow (* c s) 2) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c x) c) x)) (*.f64 s s)))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
Calls

6 calls:

4.0ms
x
4.0ms
s
4.0ms
c
4.0ms
(pow.f64 s #s(literal 2 binary64))
4.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
74.1%1(pow.f64 c #s(literal 2 binary64))
74.1%1c
74.1%1(pow.f64 s #s(literal 2 binary64))
74.1%1s
74.1%1x
77.8%3(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) c)) s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))
Calls

1 calls:

3.0ms
(/.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
76.2%2(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes23.0ms (0.3%)

Memory
-25.9MiB live, 20.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 s) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 c) c) s) s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.f64 #s(literal -2 binary64) 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 c c)) (*.f64 s s))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (/.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) (*.f64 (*.f64 s c) 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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
Calls

6 calls:

9.0ms
c
3.0ms
x
3.0ms
s
3.0ms
(pow.f64 s #s(literal 2 binary64))
2.0ms
(pow.f64 c #s(literal 2 binary64))
Results
AccuracySegmentsBranch
29.2%1(pow.f64 s #s(literal 2 binary64))
29.2%1(pow.f64 c #s(literal 2 binary64))
29.2%1x
29.2%1c
29.2%1s
29.2%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Compiler

Compiled 25 to 31 computations (-24% saved)

regimes10.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Accuracy

Total -1.9b remaining (-4%)

Threshold costs -1.9b (-4%)

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

6 calls:

2.0ms
x
2.0ms
c
2.0ms
s
1.0ms
(pow.f64 s #s(literal 2 binary64))
1.0ms
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
Results
AccuracySegmentsBranch
26.6%1(pow.f64 s #s(literal 2 binary64))
26.6%1s
26.6%1(pow.f64 c #s(literal 2 binary64))
26.6%1c
26.6%1(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
26.6%1x
Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch13.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.576061701489466e-18
1.0384430157551888e-17
Samples
7.0ms96×0valid
Compiler

Compiled 325 to 228 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (39.9% of total)
ival-pow2: 2.0ms (39.9% of total)
ival-div: 1.0ms (19.9% of total)
ival-cos: 1.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.2514829279956952e-18
1.9286481477043356e-18
Samples
5.0ms64×0valid
Compiler

Compiled 223 to 158 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (29.4% of total)
ival-pow2: 1.0ms (29.4% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory
-36.5MiB live, 10.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
7.147185180386608e-57
3.365069025252362e-56
Samples
29.0ms96×0valid
Compiler

Compiled 325 to 222 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-pow2: 23.0ms (87.3% of total)
ival-mult: 2.0ms (7.6% of total)
ival-div: 1.0ms (3.8% of total)
ival-cos: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.17560938566531e+57
9.462332921916865e+57
Samples
10.0ms96×0valid
Compiler

Compiled 337 to 228 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (39.5% of total)
ival-mult: 2.0ms (26.4% of total)
ival-pow2: 2.0ms (26.4% of total)
ival-div: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.866350889527821e-123
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.05008389961416137
27069.652982720065
0.0ms
-2.866350889527821e-123
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.866350889527821e-123
0.0
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify66.0ms (0.7%)

Memory
-16.1MiB live, 33.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0109653
1167653
2389643
32741633
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) x) (*.f64 (*.f64 s c) x))
(if (<=.f64 x #s(literal 1590140912926291/162259276829213363391578010288128 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s c) x)) s))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(if (<=.f64 x #s(literal 7269215601948759/5192296858534827628530496329220096 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)))))
(if (<=.f64 x #s(literal 4858829428140557/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c)))))
(if (<=.f64 x #s(literal 7500000000000000623937048661933182871334659851776843317248 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x)))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))) (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x)))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))) (if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) 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 -1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 c s)) x) (*.f64 (*.f64 s c) x))
(if (<=.f64 x #s(literal 1590140912926291/162259276829213363391578010288128 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 c x)) (*.f64 (*.f64 s c) x)) s))
(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x))
(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 s c) x) (*.f64 (*.f64 s c) x)))
(if (<=.f64 x #s(literal 7269215601948759/5192296858534827628530496329220096 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 (*.f64 (*.f64 c x) s) (*.f64 s c)))))
(if (<=.f64 x #s(literal 4858829428140557/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (cos.f64 (+.f64 x x)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c)))))
(if (<=.f64 x #s(literal 7500000000000000623937048661933182871334659851776843317248 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))) (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x)))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))) (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x)))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 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 (neg.f64 #s(literal 2 binary64)) (*.f64 (*.f64 c c) (*.f64 s s))))) (/.f64 (/.f64 #s(approx (cos (* -2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 s c) x)) (*.f64 (*.f64 s c) x)))
(if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal -1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 binary64)) #s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s))))) (if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) 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 -1488565707357403/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744 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 (neg.f64 #s(literal 2 binary64)) (*.f64 (*.f64 c c) (*.f64 s s))))) (if (<=.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))) #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) x) (*.f64 s x)) s)) (/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 x c) (*.f64 s (*.f64 (*.f64 s x) c))))))
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#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 s) s) c) c))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 c) c) (*.f64 s s)))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(approx (/ (+ (* -2 (* x x)) 1) (* (* (* x x) c) (* (* s c) s))) (/.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 (*.f64 c c) (*.f64 s s)))))

soundness1.5s (16.6%)

Memory
67.0MiB live, 1 052.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0148763
1439711
21553656
36883656
08024627
01246
02046
15946
226142
0256342
050222
1144206
2519188
33912184
08363174
093674
1257634
2881538
35854538
08989516
097504
1277464
21001434
36153420
08052403
055365
086365
1276317
21706289
08440285
048257
082276
1259210
21550210
08363210
055348
085343
1262291
21256278
08670278
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×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 2 415 to 1 058 computations (56.2% saved)

preprocess95.0ms (1%)

Memory
-12.6MiB live, 129.5MiB allocated
Compiler

Compiled 2 218 to 758 computations (65.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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