Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

Time bar (total: 14.3s)

analyze398.0ms (2.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 18 to 15 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 271.0ms
Operation ival-sin, time spent: 139.0ms, 51.0% of total-time
Operation ival-mult, time spent: 98.0ms, 36.0% of total-time
Operation ival-div, time spent: 27.0ms, 10.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time

sample1.9s (13.1%)

Results
1.7s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-sin, time spent: 674.0ms, 60.0% of total-time
Operation ival-mult, time spent: 267.0ms, 24.0% of total-time
Operation ival-div, time spent: 148.0ms, 13.0% of total-time
Operation const, time spent: 27.0ms, 2.0% of total-time
Bogosity

preprocess439.0ms (3.1%)

Algorithm
egg-herbie
Rules
792×fma-define
600×times-frac
432×associate-*r*
340×fma-neg
288×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
680-4(8.215551140997931e-159)(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
00-0-3
00-0-(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
00-0-(/.f64 8 3)
00-0-1/2
00-0-(*.f64 x 1/2)
00-0-8
0121(2.0687159891341832e+144)0-(sin.f64 (*.f64 x 1/2))
00-0-(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f64(sin.f64 (*.f64 x 1/2))sensitivity1200
/.f64(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))u/n640
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))underflow64
sin.f64(sin.f64 (*.f64 x 1/2))cancellation10
Confusion
Predicted +Predicted -
+644
-12167
Precision
0.34594594594594597
Recall
0.9411764705882353
Confusion?
Predicted +Predicted MaybePredicted -
+6404
-121067
Precision?
0.34594594594594597
Recall?
0.9411764705882353
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025220
151212
2117208
3332208
41029208
51898208
62227208
72327208
82371208
92399208
102471208
112952208
122960208
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (neg.f64 x))))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (neg.f64 x)))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 1/2 (neg.f64 x)))) (/.f64 (sin.f64 (*.f64 1/2 (neg.f64 x))) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x -1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x -1/2))) (neg.f64 (sin.f64 x))))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x -1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x -1/2)) (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (*.f64 (neg.f64 x) 1/2))) (sin.f64 (neg.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Symmetry

(negabs x)

Compiler

Compiled 144 to 116 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
Operation ival-sin, time spent: 92.0ms, 56.0% of total-time
Operation ival-mult, time spent: 45.0ms, 27.0% of total-time
Operation ival-div, time spent: 21.0ms, 13.0% of total-time
Operation const, time spent: 6.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 43 to 32 computations (25.6% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
99.2%
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
99.2%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
99.2%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 62 to 50 computations (19.4% saved)

localize405.0ms (2.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(sin.f64 (*.f64 x 1/2))
99.7%
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
99.4%
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
75.8%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
100.0%
(sin.f64 (*.f64 x 1/2))
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
99.7%
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
99.4%
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
100.0%
(sin.f64 (*.f64 x 1/2))
99.4%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
99.4%
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
99.4%
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
100.0%
(sin.f64 (*.f64 x 1/2))
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
99.4%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 180 to 127 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 259.0ms
Operation ival-sin, time spent: 146.0ms, 56.0% of total-time
Operation ival-mult, time spent: 81.0ms, 31.0% of total-time
Operation ival-div, time spent: 25.0ms, 10.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time

series26.0ms (0.2%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))>
#<alt (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))>
#<alt (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))>
#<alt (sin.f64 (*.f64 x 1/2))>
#<alt (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))>
#<alt (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))>
#<alt (sin.f64 (*.f64 x 1/2))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))>
#<alt (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))>
#<alt (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))>
#<alt (sin.f64 (*.f64 x 1/2))>
#<alt (/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))>
#<alt (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))>
#<alt (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))>
#<alt (sin.f64 (*.f64 x 1/2))>
Outputs
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 1/4 x)>
#<alt (*.f64 x (+.f64 1/4 (*.f64 1/48 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 1/480 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) (+.f64 1/480 (*.f64 17/80640 (pow.f64 x 2))))))))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt 1/2>
#<alt (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))>
#<alt (+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 5/768 (pow.f64 x 2)))))>
#<alt (+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 5/768 (*.f64 61/92160 (pow.f64 x 2)))))))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 x (+.f64 1/2 (*.f64 -1/48 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3840 (pow.f64 x 2)) 1/48))))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 -1/645120 (pow.f64 x 2)))) 1/48))))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt 4/3>
#<alt (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))>
#<alt (+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 5/288 (pow.f64 x 2)))))>
#<alt (+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 5/288 (*.f64 61/34560 (pow.f64 x 2)))))))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 4/3 x)>
#<alt (*.f64 x (+.f64 4/3 (*.f64 -1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/18))))>
#<alt (*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/241920 (pow.f64 x 2)))) 1/18))))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 x (+.f64 1/2 (*.f64 -1/48 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3840 (pow.f64 x 2)) 1/48))))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 -1/645120 (pow.f64 x 2)))) 1/48))))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (*.f64 4/3 x)>
#<alt (*.f64 x (+.f64 4/3 (*.f64 -1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/18))))>
#<alt (*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/241920 (pow.f64 x 2)))) 1/18))))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt 1/2>
#<alt (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))>
#<alt (+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 5/768 (pow.f64 x 2)))))>
#<alt (+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 5/768 (*.f64 61/92160 (pow.f64 x 2)))))))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 x (+.f64 1/2 (*.f64 -1/48 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3840 (pow.f64 x 2)) 1/48))))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 -1/645120 (pow.f64 x 2)))) 1/48))))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 4/3 x)>
#<alt (*.f64 x (+.f64 4/3 (*.f64 -1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/18))))>
#<alt (*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/241920 (pow.f64 x 2)))) 1/18))))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 8/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 2/3 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 -1/30240 (pow.f64 x 2)))) 1/18))))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 x (+.f64 1/2 (*.f64 -1/48 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3840 (pow.f64 x 2)) 1/48))))>
#<alt (*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 -1/645120 (pow.f64 x 2)))) 1/48))))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
#<alt (sin.f64 (*.f64 1/2 x))>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (sin (* x 1/2)) (/ (sin (* x 1/2)) (sin x)))
1.0ms
x
@inf
(* 8/3 (* (sin (* x 1/2)) (/ (sin (* x 1/2)) (sin x))))
1.0ms
x
@-inf
(* 8/3 (* (sin (* x 1/2)) (/ (sin (* x 1/2)) (sin x))))
1.0ms
x
@0
(/ (sin (* x 1/2)) (sin x))
1.0ms
x
@0
(* 8/3 (* (sin (* x 1/2)) (/ (sin (* x 1/2)) (sin x))))

rewrite307.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1558×log-prod
731×log1p-expm1-u
731×expm1-log1p-u
400×prod-diff
392×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023496
1292418
23285418
Stop Event
node limit
Counts
16 → 491
Calls
Call 1
Inputs
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(sin.f64 (*.f64 x 1/2))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(sin.f64 (*.f64 x 1/2))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(sin.f64 (*.f64 x 1/2))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 x 1/2))
Outputs
(+.f64 0 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(/.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))
(/.f64 -1 (neg.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(/.f64 (neg.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9))
(log.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1))
(+.f64 0 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2) (*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 8/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 2) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 2) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (*.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 8/3))
(*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)) (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9))
(log.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1))
(+.f64 0 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(+.f64 0 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(+.f64 0 (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))

simplify287.0ms (2%)

Algorithm
egg-herbie
Rules
1486×associate-*r*
1384×cube-prod
1326×associate-*l*
1216×exp-prod
536×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066923177
1144722733
2637622733
Stop Event
node limit
Counts
683 → 382
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 x)
(*.f64 x (+.f64 1/4 (*.f64 1/48 (pow.f64 x 2))))
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1/2
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4/3
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1/2
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(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(+.f64 0 (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
Outputs
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (fma.f64 1/18 (pow.f64 x 2) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/180 1/18) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/30240 1/180) 1/18) 2/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 x (+.f64 1/4 (*.f64 1/48 (pow.f64 x 2))))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48)))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/48 1/4))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 1/480 (pow.f64 x 2))))))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) 1/480)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/480 1/48) 1/4))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) (+.f64 1/480 (*.f64 17/80640 (pow.f64 x 2))))))))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) (+.f64 1/480 (*.f64 (pow.f64 x 2) 17/80640)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/80640 1/480) 1/48) 1/4))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) 1/16))
(fma.f64 (pow.f64 x 2) 1/16 1/2)
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 5/768 (pow.f64 x 2)))))
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) 5/768))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 5/768 1/16) 1/2)
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 5/768 (*.f64 61/92160 (pow.f64 x 2)))))))
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 5/768 (*.f64 (pow.f64 x 2) 61/92160))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 61/92160 5/768) 1/16) 1/2)
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 x (+.f64 1/2 (*.f64 -1/48 (pow.f64 x 2))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/48 1/2))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3840 (pow.f64 x 2)) 1/48))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 1/3840 (pow.f64 x 2) -1/48))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/3840 -1/48) 1/2))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 -1/645120 (pow.f64 x 2)))) 1/48))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 (pow.f64 x 2) -1/645120)) -1/48))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/645120 1/3840) -1/48) 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (pow.f64 x 2) 1/6 4/3)
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 5/288 (pow.f64 x 2)))))
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) 5/288))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 5/288 1/6) 4/3)
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 5/288 (*.f64 61/34560 (pow.f64 x 2)))))))
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 5/288 (*.f64 (pow.f64 x 2) 61/34560))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 61/34560 5/288) 1/6) 4/3)
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 x)
(*.f64 x 4/3)
(*.f64 x (+.f64 4/3 (*.f64 -1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) -1/18)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/18 4/3))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/18))))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (fma.f64 1/1440 (pow.f64 x 2) -1/18))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/1440 -1/18) 4/3))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/241920 (pow.f64 x 2)))) 1/18))))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 (pow.f64 x 2) -1/241920)) -1/18))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/241920 1/1440) -1/18) 4/3))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (fma.f64 1/18 (pow.f64 x 2) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/180 1/18) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/30240 1/180) 1/18) 2/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 x (+.f64 1/2 (*.f64 -1/48 (pow.f64 x 2))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/48 1/2))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3840 (pow.f64 x 2)) 1/48))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 1/3840 (pow.f64 x 2) -1/48))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/3840 -1/48) 1/2))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 -1/645120 (pow.f64 x 2)))) 1/48))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 (pow.f64 x 2) -1/645120)) -1/48))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/645120 1/3840) -1/48) 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(*.f64 4/3 x)
(*.f64 x 4/3)
(*.f64 x (+.f64 4/3 (*.f64 -1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) -1/18)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/18 4/3))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/18))))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (fma.f64 1/1440 (pow.f64 x 2) -1/18))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/1440 -1/18) 4/3))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/241920 (pow.f64 x 2)))) 1/18))))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 (pow.f64 x 2) -1/241920)) -1/18))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/241920 1/1440) -1/18) 4/3))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (fma.f64 1/18 (pow.f64 x 2) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/180 1/18) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/30240 1/180) 1/18) 2/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) 1/16))
(fma.f64 (pow.f64 x 2) 1/16 1/2)
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 5/768 (pow.f64 x 2)))))
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) 5/768))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 5/768 1/16) 1/2)
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 5/768 (*.f64 61/92160 (pow.f64 x 2)))))))
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 5/768 (*.f64 (pow.f64 x 2) 61/92160))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 61/92160 5/768) 1/16) 1/2)
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 x (+.f64 1/2 (*.f64 -1/48 (pow.f64 x 2))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/48 1/2))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3840 (pow.f64 x 2)) 1/48))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 1/3840 (pow.f64 x 2) -1/48))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/3840 -1/48) 1/2))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 -1/645120 (pow.f64 x 2)))) 1/48))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 (pow.f64 x 2) -1/645120)) -1/48))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/645120 1/3840) -1/48) 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(sin.f64 (*.f64 1/2 x))
(sin.f64 (*.f64 x 1/2))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (fma.f64 1/18 (pow.f64 x 2) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/180 1/18) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/30240 1/180) 1/18) 2/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 x)
(*.f64 x 4/3)
(*.f64 x (+.f64 4/3 (*.f64 -1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) -1/18)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/18 4/3))
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(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (fma.f64 1/1440 (pow.f64 x 2) -1/18))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/1440 -1/18) 4/3))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/241920 (pow.f64 x 2)))) 1/18))))
(*.f64 x (+.f64 4/3 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 (pow.f64 x 2) -1/241920)) -1/18))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/241920 1/1440) -1/18) 4/3))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/18)))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/18 2/3))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 1/540 (pow.f64 x 2) -1/18))))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/540 -1/18) 2/3))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 -1/30240 (pow.f64 x 2)))) 1/18))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 (pow.f64 x 2) -1/30240)) -1/18))))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/30240 1/540) -1/18) 2/3))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 x (+.f64 1/2 (*.f64 -1/48 (pow.f64 x 2))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/48 1/2))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/3840 (pow.f64 x 2)) 1/48))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 1/3840 (pow.f64 x 2) -1/48))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/3840 -1/48) 1/2))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 -1/645120 (pow.f64 x 2)))) 1/48))))
(*.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/3840 (*.f64 (pow.f64 x 2) -1/645120)) -1/48))))
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(sin.f64 (*.f64 1/2 x))
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(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(+.f64 0 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))
(sqrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(+.f64 0 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))
(fabs.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(+.f64 0 (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 x 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(-.f64 (*.f64 (sin.f64 (+.f64 (*.f64 x 1/2) 1)) (cos.f64 1)) (*.f64 (cos.f64 (+.f64 (*.f64 x 1/2) 1)) (sin.f64 1)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 x 1/2))
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(sin.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(sin.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(sin.f64 (*.f64 x 1/2))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sin.f64 (*.f64 x 1/2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(fabs.f64 (sin.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(sin.f64 (*.f64 x 1/2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(sin.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
(sin.f64 (*.f64 x 1/2))

eval325.0ms (2.3%)

Compiler

Compiled 14333 to 10904 computations (23.9% saved)

prune148.0ms (1%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New70433737
Fresh000
Picked314
Done000
Total70734741
Accuracy
100.0%
Counts
741 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.3%
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
58.6%
(/.f64 (pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) (sin.f64 x))
75.4%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
74.4%
(/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) (sin.f64 x))
29.7%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
75.3%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
30.0%
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
99.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
75.4%
(/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
75.4%
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
75.3%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
75.2%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
53.5%
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
53.5%
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
99.2%
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
53.5%
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
51.6%
(*.f64 (*.f64 8/3 (log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
53.5%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
99.2%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
99.1%
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
56.9%
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
99.2%
(*.f64 (log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
53.2%
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
53.1%
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
41.1%
(*.f64 8/3 (pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 1/3))
75.3%
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
53.5%
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
99.2%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
53.1%
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
51.1%
(*.f64 8/3 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
51.2%
(*.f64 8/3 (log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
48.5%
(*.f64 8/3 (exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
53.2%
(*.f64 2/3 x)
50.7%
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9))
Compiler

Compiled 907 to 750 computations (17.3% saved)

localize638.0ms (4.5%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.6%
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2)
99.5%
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9)
76.0%
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9))
75.8%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
99.8%
(/.f64 1 (sin.f64 x))
99.6%
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
99.5%
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
75.7%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
100.0%
(sin.f64 (*.f64 x 1/2))
99.8%
(/.f64 (*.f64 x 1/2) (sin.f64 x))
99.7%
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
99.4%
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
99.4%
(*.f64 2/3 x)
100.0%
(sin.f64 (*.f64 x 1/2))
99.8%
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
99.7%
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 197 to 138 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 471.0ms
Operation ival-mult, time spent: 234.0ms, 50.0% of total-time
Operation ival-sin, time spent: 123.0ms, 26.0% of total-time
Operation ival-pow, time spent: 80.0ms, 17.0% of total-time
Operation ival-div, time spent: 22.0ms, 5.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 0.0% of total-time

series40.0ms (0.3%)

Counts
14 → 148
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))>
#<alt (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))>
#<alt (/.f64 (*.f64 x 1/2) (sin.f64 x))>
#<alt (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))>
#<alt (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)>
#<alt (/.f64 1 (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))>
#<alt (sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9))>
#<alt (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9)>
#<alt (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2)>
Outputs
#<alt 2>
#<alt (+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))>
#<alt (+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/192 (pow.f64 x 2)) 1/4)))>
#<alt (+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/192 (*.f64 -1/23040 (pow.f64 x 2)))) 1/4)))>
#<alt (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt 3/4>
#<alt (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))>
#<alt (+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/512 (pow.f64 x 2)) 3/32)))>
#<alt (+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/512 (*.f64 -1/61440 (pow.f64 x 2)))) 3/32)))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/12 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 5/576 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (+.f64 5/576 (*.f64 61/69120 (pow.f64 x 2))))))))>
#<alt (*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))>
#<alt (*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))>
#<alt (*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))>
#<alt (*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))>
#<alt (*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))>
#<alt (*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))>
#<alt (*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))>
#<alt (*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))>
#<alt 1/2>
#<alt (+.f64 1/2 (*.f64 1/12 (pow.f64 x 2)))>
#<alt (+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 7/720 (pow.f64 x 2)))))>
#<alt (+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (+.f64 7/720 (*.f64 31/30240 (pow.f64 x 2)))))))>
#<alt (*.f64 1/2 (/.f64 x (sin.f64 x)))>
#<alt (*.f64 1/2 (/.f64 x (sin.f64 x)))>
#<alt (*.f64 1/2 (/.f64 x (sin.f64 x)))>
#<alt (*.f64 1/2 (/.f64 x (sin.f64 x)))>
#<alt (*.f64 1/2 (/.f64 x (sin.f64 x)))>
#<alt (*.f64 1/2 (/.f64 x (sin.f64 x)))>
#<alt (*.f64 1/2 (/.f64 x (sin.f64 x)))>
#<alt (*.f64 1/2 (/.f64 x (sin.f64 x)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 2/3 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 -1/30240 (pow.f64 x 2)))) 1/18))))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))>
#<alt (*.f64 1/4 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 -1/48 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/48))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/80640 (pow.f64 x 2)))) 1/48))))>
#<alt (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)>
#<alt (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)>
#<alt (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)>
#<alt (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)>
#<alt (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)>
#<alt (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)>
#<alt (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)>
#<alt (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)>
#<alt (/.f64 1 x)>
#<alt (/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) x)>
#<alt (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 7/360 (pow.f64 x 2))))) x)>
#<alt (/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 7/360 (*.f64 31/15120 (pow.f64 x 2))))))) x)>
#<alt (*.f64 1/4 x)>
#<alt (*.f64 x (+.f64 1/4 (*.f64 1/48 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 1/480 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) (+.f64 1/480 (*.f64 17/80640 (pow.f64 x 2))))))))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 4/9 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 4/9 (*.f64 2/27 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 4/9 (*.f64 (pow.f64 x 2) (+.f64 2/27 (*.f64 17/1620 (pow.f64 x 2))))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 4/9 (*.f64 (pow.f64 x 2) (+.f64 2/27 (*.f64 (pow.f64 x 2) (+.f64 17/1620 (*.f64 31/22680 (pow.f64 x 2))))))))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 1/16 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 1/96 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 1/96 (*.f64 17/11520 (pow.f64 x 2))))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 1/96 (*.f64 (pow.f64 x 2) (+.f64 17/11520 (*.f64 31/161280 (pow.f64 x 2))))))))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))>
Calls

42 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(* (pow (/ (pow (sin (* x 1/2)) 2) (sin x)) 2) 64/9)
2.0ms
x
@inf
(/ (sin x) (sin (* x 1/2)))
1.0ms
x
@-inf
(* (pow (/ (pow (sin (* x 1/2)) 2) (sin x)) 2) 64/9)
1.0ms
x
@inf
(* (* 8/3 (sin (* x 1/2))) (/ (* x 1/2) (sin x)))
1.0ms
x
@-inf
(* (* 8/3 (sin (* x 1/2))) (/ (* x 1/2) (sin x)))

rewrite280.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
996×log1p-expm1-u
496×prod-diff
420×associate-*r*
298×associate-*l*
212×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031448
1435441
25912441
Stop Event
node limit
Counts
14 → 436
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 2/3 x)
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(/.f64 (*.f64 x 1/2) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 1 (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(*.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 1 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 2) (/.f64 1 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (/.f64 1 (sqrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2) 9/64))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2) 9/64))) (/.f64 1 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2) 9/64))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(sqrt.f64 (pow.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) 1)
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 3/8)) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 3/8 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 3/8) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 1/2 (sin.f64 x))))))) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (/.f64 (sin.f64 x) 1/2) x))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 (*.f64 x 1/2) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(/.f64 (*.f64 (*.f64 x 1/2) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 x 1/2) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (*.f64 x -1/2)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x -1/2) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (*.f64 x 1/2) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 x 1/2) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (*.f64 x 1/2) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 1/2 (sin.f64 x))))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 1/2 (sin.f64 x)))))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 1/2 (sin.f64 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 1/2 (sin.f64 x)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 1/2 (sin.f64 x))))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 1/2 (sin.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 1/2 (sin.f64 x))))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 1/2 (sin.f64 x))))) 3))
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(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))) 1))

simplify390.0ms (2.7%)

Algorithm
egg-herbie
Rules
968×cube-prod
878×exp-prod
808×associate-*r/
656×associate-*l/
652×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105122689
1249022121
2653722121
Stop Event
node limit
Counts
584 → 614
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/192 (pow.f64 x 2)) 1/4)))
(+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/192 (*.f64 -1/23040 (pow.f64 x 2)))) 1/4)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/512 (pow.f64 x 2)) 3/32)))
(+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/512 (*.f64 -1/61440 (pow.f64 x 2)))) 3/32)))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/12 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 5/576 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (+.f64 5/576 (*.f64 61/69120 (pow.f64 x 2))))))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
1/2
(+.f64 1/2 (*.f64 1/12 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 7/720 (pow.f64 x 2)))))
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (+.f64 7/720 (*.f64 31/30240 (pow.f64 x 2)))))))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 -1/30240 (pow.f64 x 2)))) 1/18))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 -1/48 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/48))))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/80640 (pow.f64 x 2)))) 1/48))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) x)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 7/360 (pow.f64 x 2))))) x)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 7/360 (*.f64 31/15120 (pow.f64 x 2))))))) x)
(*.f64 1/4 x)
(*.f64 x (+.f64 1/4 (*.f64 1/48 (pow.f64 x 2))))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 1/480 (pow.f64 x 2))))))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) (+.f64 1/480 (*.f64 17/80640 (pow.f64 x 2))))))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 4/9 (*.f64 2/27 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 4/9 (*.f64 (pow.f64 x 2) (+.f64 2/27 (*.f64 17/1620 (pow.f64 x 2))))))
(*.f64 (pow.f64 x 2) (+.f64 4/9 (*.f64 (pow.f64 x 2) (+.f64 2/27 (*.f64 (pow.f64 x 2) (+.f64 17/1620 (*.f64 31/22680 (pow.f64 x 2))))))))
(*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))
(*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))
(*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))
(*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))
(*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))
(*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))
(*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))
(*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/16 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 1/96 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 1/96 (*.f64 17/11520 (pow.f64 x 2))))))
(*.f64 (pow.f64 x 2) (+.f64 1/16 (*.f64 (pow.f64 x 2) (+.f64 1/96 (*.f64 (pow.f64 x 2) (+.f64 17/11520 (*.f64 31/161280 (pow.f64 x 2))))))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 4) (pow.f64 (sin.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
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(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 1) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
(*.f64 (*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (sin.f64 x) -1/2)) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 1) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -1 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9) 1/2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 2)
(fabs.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9)) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9))) 1)
(/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (sin.f64 x))
(pow.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9) 1)
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 4) 4096/81) 1/2)
(pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 4) 4096/81))
(log.f64 (pow.f64 (exp.f64 64/9) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9)))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 64/9)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)))) 1)
(*.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))) 1))
Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (pow.f64 x 2) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/192 (pow.f64 x 2)) 1/4)))
(+.f64 2 (*.f64 (pow.f64 x 2) (fma.f64 1/192 (pow.f64 x 2) -1/4)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/192 -1/4) 2)
(+.f64 2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/192 (*.f64 -1/23040 (pow.f64 x 2)))) 1/4)))
(+.f64 2 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/192 (*.f64 (pow.f64 x 2) -1/23040)) -1/4)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/23040 1/192) -1/4) 2)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/18 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/180 1/18) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/30240 1/180) 1/18) 2/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32))
(fma.f64 (pow.f64 x 2) -3/32 3/4)
(+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/512 (pow.f64 x 2)) 3/32)))
(+.f64 3/4 (*.f64 (pow.f64 x 2) (fma.f64 1/512 (pow.f64 x 2) -3/32)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/512 -3/32) 3/4)
(+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/512 (*.f64 -1/61440 (pow.f64 x 2)))) 3/32)))
(+.f64 3/4 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/512 (*.f64 (pow.f64 x 2) -1/61440)) -3/32)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/61440 1/512) -3/32) 3/4)
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 x (+.f64 2/3 (*.f64 1/12 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/12)))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/12 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 5/576 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) 5/576)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 5/576 1/12) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (+.f64 5/576 (*.f64 61/69120 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (+.f64 5/576 (*.f64 (pow.f64 x 2) 61/69120)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 61/69120 5/576) 1/12) 2/3))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
1/2
(+.f64 1/2 (*.f64 1/12 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) 1/12))
(fma.f64 (pow.f64 x 2) 1/12 1/2)
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 7/720 (pow.f64 x 2)))))
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) 7/720))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 7/720 1/12) 1/2)
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (+.f64 7/720 (*.f64 31/30240 (pow.f64 x 2)))))))
(+.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 1/12 (*.f64 (pow.f64 x 2) (+.f64 7/720 (*.f64 (pow.f64 x 2) 31/30240))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 31/30240 7/720) 1/12) 1/2)
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 1/2 (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 1/2 (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 1/2 (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 1/2 (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 1/2 (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 1/2 (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 1/2 (sin.f64 x)))
(*.f64 1/2 (/.f64 x (sin.f64 x)))
(*.f64 x (/.f64 1/2 (sin.f64 x)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/18 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/180 1/18) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/30240 1/180) 1/18) 2/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 2/3)
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/18)))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/18 2/3))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 1/540 (pow.f64 x 2) -1/18))))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/540 -1/18) 2/3))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 -1/30240 (pow.f64 x 2)))) 1/18))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 (pow.f64 x 2) -1/30240)) -1/18))))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/30240 1/540) -1/18) 2/3))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/4)
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 -1/48 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) -1/48)))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/48 1/4))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/48))))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (fma.f64 1/1440 (pow.f64 x 2) -1/48))))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/1440 -1/48) 1/4))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/80640 (pow.f64 x 2)))) 1/48))))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 (pow.f64 x 2) -1/80640)) -1/48))))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/80640 1/1440) -1/48) 1/4))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) x)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) 1/6)) x)
(/.f64 (fma.f64 (pow.f64 x 2) 1/6 1) x)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 7/360 (pow.f64 x 2))))) x)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) 7/360)))) x)
(/.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 7/360 1/6) 1) x)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 7/360 (*.f64 31/15120 (pow.f64 x 2))))))) x)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 7/360 (*.f64 (pow.f64 x 2) 31/15120)))))) x)
(/.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 31/15120 7/360) 1/6) 1) x)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 x (+.f64 1/4 (*.f64 1/48 (pow.f64 x 2))))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48)))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/48 1/4))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 1/480 (pow.f64 x 2))))))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) 1/480)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/480 1/48) 1/4))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) (+.f64 1/480 (*.f64 17/80640 (pow.f64 x 2))))))))
(*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) (+.f64 1/480 (*.f64 (pow.f64 x 2) 17/80640)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/80640 1/480) 1/48) 1/4))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
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(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
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(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/30240 1/180) 1/18) 2/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
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(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2)) 3))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) -2))) 1))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))

eval576.0ms (4%)

Compiler

Compiled 19820 to 15289 computations (22.9% saved)

prune332.0ms (2.3%)

Pruning

40 alts after pruning (38 fresh and 2 done)

PrunedKeptTotal
New1042221064
Fresh121628
Picked325
Done101
Total1058401098
Accuracy
100.0%
Counts
1098 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.1%
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
53.0%
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
74.3%
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
52.3%
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
58.6%
(/.f64 (pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) (sin.f64 x))
74.4%
(/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) (sin.f64 x))
75.3%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
30.0%
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
54.0%
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
99.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
57.2%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
75.3%
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
75.4%
(/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
75.4%
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
75.3%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
30.0%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
50.4%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
53.1%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))
29.6%
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
99.1%
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
53.8%
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
53.5%
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
53.5%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
56.9%
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
53.2%
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
53.1%
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
53.1%
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
51.1%
(*.f64 8/3 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
51.2%
(*.f64 8/3 (log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
48.5%
(*.f64 8/3 (exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
29.7%
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
53.5%
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
53.2%
(*.f64 2/3 x)
25.8%
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 2) 64/9))
51.0%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
53.2%
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
48.7%
(exp.f64 (log.f64 (*.f64 x 2/3)))
67.3%
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 27/512))
Compiler

Compiled 951 to 791 computations (16.8% saved)

localize1.0s (7.1%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.5%
(*.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 2) 64/9)
76.0%
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 2) 64/9))
75.8%
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x))
75.2%
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
99.8%
(/.f64 1 (sin.f64 x))
99.5%
(*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))
75.7%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
75.2%
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
99.7%
(pow.f64 (*.f64 x 2/3) 3)
99.4%
(*.f64 x 2/3)
37.3%
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
100.0%
(sin.f64 (*.f64 x 1/2))
99.4%
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
100.0%
(sin.f64 (*.f64 x 1/2))
99.9%
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
99.7%
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
Compiler

Compiled 187 to 126 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 748.0ms
Operation ival-sin, time spent: 424.0ms, 57.0% of total-time
Operation ival-div, time spent: 87.0ms, 12.0% of total-time
Operation ival-mult, time spent: 81.0ms, 11.0% of total-time
Operation ival-pow, time spent: 76.0ms, 10.0% of total-time
Operation ival-cos, time spent: 33.0ms, 4.0% of total-time
Operation ival-sub, time spent: 24.0ms, 3.0% of total-time
Operation const, time spent: 18.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 1.0% of total-time

series29.0ms (0.2%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))>
#<alt (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))>
#<alt (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))>
#<alt (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)>
#<alt (pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)>
#<alt (*.f64 x 2/3)>
#<alt (pow.f64 (*.f64 x 2/3) 3)>
#<alt (-.f64 1/2 (/.f64 (cos.f64 x) 2))>
#<alt (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))>
#<alt (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))>
#<alt (-.f64 1/2 (/.f64 (cos.f64 x) 2))>
#<alt (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x))>
#<alt (sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 2) 64/9))>
#<alt (*.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 2) 64/9)>
Outputs
#<alt 3/4>
#<alt (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))>
#<alt (+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/512 (pow.f64 x 2)) 3/32)))>
#<alt (+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/512 (*.f64 -1/61440 (pow.f64 x 2)))) 3/32)))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (/.f64 3/4 x)>
#<alt (/.f64 (+.f64 3/4 (*.f64 1/32 (pow.f64 x 2))) x)>
#<alt (/.f64 (+.f64 3/4 (*.f64 (pow.f64 x 2) (+.f64 1/32 (*.f64 7/7680 (pow.f64 x 2))))) x)>
#<alt (/.f64 (+.f64 3/4 (*.f64 (pow.f64 x 2) (+.f64 1/32 (*.f64 (pow.f64 x 2) (+.f64 7/7680 (*.f64 31/1290240 (pow.f64 x 2))))))) x)>
#<alt (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))>
#<alt (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 -1/36 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2880 (pow.f64 x 2)) 1/36))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 -1/483840 (pow.f64 x 2)))) 1/36))))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))>
#<alt (*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))>
#<alt (*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))>
#<alt (*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 8/27 (pow.f64 x 3))>
#<alt (*.f64 1/4 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 -1/48 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/48))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/80640 (pow.f64 x 2)))) 1/48))))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 2/3 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 -1/30240 (pow.f64 x 2)))) 1/18))))>
#<alt (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))>
#<alt (*.f64 1/4 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 -1/48 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/48))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/80640 (pow.f64 x 2)))) 1/48))))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))>
#<alt (*.f64 1/4 x)>
#<alt (*.f64 x (+.f64 1/4 (*.f64 1/48 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 1/480 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 1/48 (*.f64 (pow.f64 x 2) (+.f64 1/480 (*.f64 17/80640 (pow.f64 x 2))))))))>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))>
#<alt (*.f64 4/9 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 4/9 (*.f64 2/27 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 4/9 (*.f64 (pow.f64 x 2) (+.f64 2/27 (*.f64 17/1620 (pow.f64 x 2))))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 4/9 (*.f64 (pow.f64 x 2) (+.f64 2/27 (*.f64 (pow.f64 x 2) (+.f64 17/1620 (*.f64 31/22680 (pow.f64 x 2))))))))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))>
#<alt (*.f64 64/9 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))>
Calls

42 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ 3/8 (sin (* x 1/2)))
2.0ms
x
@0
(pow (pow (* x 2/3) 3) 1/3)
2.0ms
x
@inf
(* 8/3 (- 1/2 (/ (cos x) 2)))
2.0ms
x
@-inf
(pow (pow (* x 2/3) 3) 1/3)
1.0ms
x
@inf
(* (pow (/ (- 1/2 (/ (cos x) 2)) (sin x)) 2) 64/9)

rewrite264.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
714×prod-diff
641×log1p-expm1-u
388×associate-*r*
270×associate-*l*
206×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036383
1492376
26487376
Stop Event
node limit
Counts
14 → 488
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(*.f64 x 2/3)
(pow.f64 (*.f64 x 2/3) 3)
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 2) 64/9))
(*.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 2) 64/9)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(/.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 3/8)) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 -3/8 (sin.f64 x)) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(*.f64 1 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 2) (/.f64 1 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (sqrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))))
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) 2) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) 2) (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (/.f64 1 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2))
(*.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (*.f64 (pow.f64 (sin.f64 x) -1/2) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (sin.f64 x)))
(*.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (*.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (pow.f64 1 1/2) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (pow.f64 64/9 1/2) (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 4) 4096/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 4) 4096/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 1) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) 1) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) 2)) (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))))) (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 (*.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (pow.f64 (sin.f64 x) -1/2)) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 1) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) 2)) (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (neg.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) -1) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (*.f64 -1 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 1) (sin.f64 x))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 1/2)
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2)
(fabs.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2))) 1)
(/.f64 (*.f64 64/9 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (sin.f64 x))
(/.f64 (*.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 1)
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 4) 4096/81) 1/2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 4) 4096/81))
(log.f64 (pow.f64 (exp.f64 64/9) (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)) 1))

simplify252.0ms (1.8%)

Algorithm
egg-herbie
Rules
1298×associate-*r*
1278×associate-*l*
770×fma-define
464×associate-*r/
446×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0112329758
1267324641
Stop Event
node limit
Counts
656 → 617
Calls
Call 1
Inputs
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/512 (pow.f64 x 2)) 3/32)))
(+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/512 (*.f64 -1/61440 (pow.f64 x 2)))) 3/32)))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(/.f64 3/4 x)
(/.f64 (+.f64 3/4 (*.f64 1/32 (pow.f64 x 2))) x)
(/.f64 (+.f64 3/4 (*.f64 (pow.f64 x 2) (+.f64 1/32 (*.f64 7/7680 (pow.f64 x 2))))) x)
(/.f64 (+.f64 3/4 (*.f64 (pow.f64 x 2) (+.f64 1/32 (*.f64 (pow.f64 x 2) (+.f64 7/7680 (*.f64 31/1290240 (pow.f64 x 2))))))) x)
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 -1/36 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2880 (pow.f64 x 2)) 1/36))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 -1/483840 (pow.f64 x 2)))) 1/36))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))
(*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))
(*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))
(*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 8/27 (pow.f64 x 3))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 -1/48 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/1440 (pow.f64 x 2)) 1/48))))
(*.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/1440 (*.f64 -1/80640 (pow.f64 x 2)))) 1/48))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) 1) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) 2)) (cbrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))))) (sqrt.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 (*.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (pow.f64 (sin.f64 x) -1/2)) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 1) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) 2)) (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (neg.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) -1) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (*.f64 -1 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 1) (sin.f64 x))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 1/2)
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2)
(fabs.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2))) 1)
(/.f64 (*.f64 64/9 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (sin.f64 x))
(/.f64 (*.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 1)
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 4) 4096/81) 1/2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 4) 4096/81))
(log.f64 (pow.f64 (exp.f64 64/9) (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)) 1))
Outputs
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(fma.f64 -3/32 (pow.f64 x 2) 3/4)
(+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/512 (pow.f64 x 2)) 3/32)))
(+.f64 3/4 (*.f64 (pow.f64 x 2) (fma.f64 1/512 (pow.f64 x 2) -3/32)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/512 -3/32) 3/4)
(+.f64 3/4 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/512 (*.f64 -1/61440 (pow.f64 x 2)))) 3/32)))
(+.f64 3/4 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/512 (*.f64 (pow.f64 x 2) -1/61440)) -3/32)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/61440 1/512) -3/32) 3/4)
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/18 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/180 1/18) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/30240 1/180) 1/18) 2/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 3/4 x)
(/.f64 (+.f64 3/4 (*.f64 1/32 (pow.f64 x 2))) x)
(/.f64 (+.f64 3/4 (*.f64 (pow.f64 x 2) 1/32)) x)
(/.f64 (fma.f64 (pow.f64 x 2) 1/32 3/4) x)
(/.f64 (+.f64 3/4 (*.f64 (pow.f64 x 2) (+.f64 1/32 (*.f64 7/7680 (pow.f64 x 2))))) x)
(/.f64 (+.f64 3/4 (*.f64 (pow.f64 x 2) (+.f64 1/32 (*.f64 (pow.f64 x 2) 7/7680)))) x)
(/.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 7/7680 1/32) 3/4) x)
(/.f64 (+.f64 3/4 (*.f64 (pow.f64 x 2) (+.f64 1/32 (*.f64 (pow.f64 x 2) (+.f64 7/7680 (*.f64 31/1290240 (pow.f64 x 2))))))) x)
(/.f64 (+.f64 3/4 (*.f64 (pow.f64 x 2) (+.f64 1/32 (*.f64 (pow.f64 x 2) (+.f64 7/7680 (*.f64 (pow.f64 x 2) 31/1290240)))))) x)
(/.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 31/1290240 7/7680) 1/32) 3/4) x)
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(/.f64 3/8 (sin.f64 (*.f64 1/2 x)))
(/.f64 3/8 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 x (+.f64 2/3 (*.f64 -1/36 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/36 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2880 (pow.f64 x 2)) 1/36))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 1/2880 (pow.f64 x 2) -1/36))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/2880 -1/36) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 -1/483840 (pow.f64 x 2)))) 1/36))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 (pow.f64 x 2) -1/483840)) -1/36))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/483840 1/2880) -1/36) 2/3))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))
(neg.f64 (*.f64 x (cbrt.f64 -8/27)))
(*.f64 (cbrt.f64 -8/27) (neg.f64 x))
(*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))
(neg.f64 (*.f64 x (cbrt.f64 -8/27)))
(*.f64 (cbrt.f64 -8/27) (neg.f64 x))
(*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))
(neg.f64 (*.f64 x (cbrt.f64 -8/27)))
(*.f64 (cbrt.f64 -8/27) (neg.f64 x))
(*.f64 -1 (*.f64 x (cbrt.f64 -8/27)))
(neg.f64 (*.f64 x (cbrt.f64 -8/27)))
(*.f64 (cbrt.f64 -8/27) (neg.f64 x))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
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(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 1/2)
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 3)
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2)
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(fabs.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)) 1/2))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 1))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)))
(/.f64 (*.f64 64/9 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(/.f64 (*.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))) (sin.f64 x))
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(/.f64 (*.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) (sin.f64 x))
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 1)
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2) 3)
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 4) 4096/81) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 4) 4096/81))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 3) 1/3)
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 4) 4096/81))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 4) 4096/81))
(log.f64 (pow.f64 (exp.f64 64/9) (pow.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 2)))
(log.f64 (pow.f64 (exp.f64 64/9) (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2))))
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2) 3))
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 2)) 1))
(*.f64 64/9 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2)

eval414.0ms (2.9%)

Compiler

Compiled 19706 to 14140 computations (28.2% saved)

prune175.0ms (1.2%)

Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New91818936
Fresh171633
Picked235
Done112
Total93838976
Accuracy
100.0%
Counts
976 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.4%
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2)
53.0%
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
49.9%
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 3)
52.3%
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
50.5%
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
75.5%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
75.5%
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
50.4%
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
30.0%
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
54.0%
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
57.2%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
75.4%
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
50.4%
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
75.4%
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
75.3%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
99.2%
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))
50.4%
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
50.4%
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
50.4%
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
50.3%
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
30.0%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
50.4%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
53.1%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))
5.2%
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
99.1%
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
53.8%
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
56.9%
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
56.8%
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
53.2%
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
53.1%
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
52.9%
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
53.1%
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
53.2%
(*.f64 2/3 x)
49.6%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))))
48.7%
(exp.f64 (log.f64 (*.f64 x 2/3)))
50.3%
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3))
67.3%
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 27/512))
Compiler

Compiled 856 to 715 computations (16.5% saved)

localize1.2s (8.6%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(sin.f64 (*.f64 x 1/2))
99.6%
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
99.6%
(*.f64 3/8 (sin.f64 x))
75.6%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
99.8%
(/.f64 1 (sin.f64 x))
99.7%
(*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)
75.7%
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
74.9%
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
99.8%
(sqrt.f64 (*.f64 x 2/3))
99.4%
(*.f64 x 2/3)
99.3%
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
100.0%
(sin.f64 (*.f64 x 1/2))
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
100.0%
(sin.f64 (*.f64 x 1/2))
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
99.7%
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)
99.4%
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 154 to 105 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 977.0ms
Operation ival-sin, time spent: 724.0ms, 74.0% of total-time
Operation ival-mult, time spent: 132.0ms, 14.0% of total-time
Operation ival-div, time spent: 41.0ms, 4.0% of total-time
Operation ival-cos, time spent: 28.0ms, 3.0% of total-time
Operation ival-pow, time spent: 20.0ms, 2.0% of total-time
Operation const, time spent: 15.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 9.0ms, 1.0% of total-time
Operation ival-add, time spent: 7.0ms, 1.0% of total-time

series18.0ms (0.1%)

Counts
10 → 112
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))>
#<alt (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)>
#<alt (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)>
#<alt (pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)>
#<alt (sqrt.f64 (*.f64 x 2/3))>
#<alt (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))>
#<alt (*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))>
#<alt (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)>
#<alt (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))>
#<alt (*.f64 3/8 (sin.f64 x))>
Outputs
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt 4/3>
#<alt (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))>
#<alt (+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 5/288 (pow.f64 x 2)))))>
#<alt (+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 5/288 (*.f64 61/34560 (pow.f64 x 2)))))))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 -1/36 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2880 (pow.f64 x 2)) 1/36))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 -1/483840 (pow.f64 x 2)))) 1/36))))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 4/3 (sin.f64 (*.f64 1/2 x)))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 2/3) 2))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 2/3) 2))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 2/3) 2))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 2/3) 2))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 2/3) 2))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 2/3) 2))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 2/3) 2))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 2/3) 2))>
#<alt (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))>
#<alt (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))>
#<alt (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))>
#<alt (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 2/3))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 2/3))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 2/3))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 2/3))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 2/3))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 2/3))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 2/3))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 2/3))>
#<alt (*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))>
#<alt (*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))>
#<alt (*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))>
#<alt (*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))>
#<alt (*.f64 2/3 (pow.f64 x 2))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18))))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 -1/30240 (pow.f64 x 2)))) 1/18))))>
#<alt (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))>
#<alt (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))>
#<alt (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))>
#<alt (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))>
#<alt (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))>
#<alt (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))>
#<alt (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))>
#<alt (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))>
#<alt (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))>
#<alt -4/3>
#<alt (-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)>
#<alt (-.f64 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2)))) 4/3)>
#<alt (-.f64 (*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18)))) 4/3)>
#<alt (*.f64 -4/3 (cos.f64 x))>
#<alt (*.f64 -4/3 (cos.f64 x))>
#<alt (*.f64 -4/3 (cos.f64 x))>
#<alt (*.f64 -4/3 (cos.f64 x))>
#<alt (*.f64 -4/3 (cos.f64 x))>
#<alt (*.f64 -4/3 (cos.f64 x))>
#<alt (*.f64 -4/3 (cos.f64 x))>
#<alt (*.f64 -4/3 (cos.f64 x))>
#<alt (*.f64 2/3 x)>
#<alt (*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))>
#<alt (*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))>
#<alt (*.f64 3/8 x)>
#<alt (*.f64 x (+.f64 3/8 (*.f64 -1/16 (pow.f64 x 2))))>
#<alt (*.f64 x (+.f64 3/8 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/320 (pow.f64 x 2)) 1/16))))>
#<alt (*.f64 x (+.f64 3/8 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/320 (*.f64 -1/13440 (pow.f64 x 2)))) 1/16))))>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(sqrt (* x 2/3))
1.0ms
x
@0
(pow (sqrt (* x 2/3)) 2)
1.0ms
x
@-inf
(pow (sqrt (* x 2/3)) 2)
1.0ms
x
@-inf
(* (/ 1 (sin x)) (+ 4/3 (* (* (cos x) -1/2) 8/3)))
1.0ms
x
@inf
(* (/ 1 (sin x)) (+ 4/3 (* (* (cos x) -1/2) 8/3)))

rewrite232.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1132×prod-diff
590×log1p-expm1-u
400×associate-*r*
286×associate-*l*
196×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034262
1478228
26221228
Stop Event
node limit
Counts
10 → 323
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(sqrt.f64 (*.f64 x 2/3))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
(*.f64 3/8 (sin.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 1 (*.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 3/8 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 -1 (neg.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) -3/8))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) -3/8)
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) -3/8)
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) -3/8)
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (*.f64 (sin.f64 x) -3/8)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) (*.f64 (sin.f64 x) 3/8))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (sin.f64 x)) 8/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3/8))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 8/3))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3/8))
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(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 64/27) (/.f64 1 (sin.f64 x))) (+.f64 16/9 (*.f64 (*.f64 (cos.f64 x) -4/3) (-.f64 (*.f64 (cos.f64 x) -4/3) 4/3))))
(/.f64 (*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (sin.f64 x))) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(/.f64 (*.f64 -1 (fma.f64 (cos.f64 x) -4/3 4/3)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1))
(fma.f64 4/3 (/.f64 1 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) -4/3) (sin.f64 x)))
(fma.f64 (/.f64 1 (sin.f64 x)) 4/3 (/.f64 (*.f64 (cos.f64 x) -4/3) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) 1)
(pow.f64 (*.f64 (cos.f64 x) -4/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) -4/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) -4/3))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) -4/3)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))

simplify248.0ms (1.7%)

Algorithm
egg-herbie
Rules
914×associate-*r*
880×associate-*l*
754×cube-prod
714×exp-prod
566×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075714757
1169314284
2576114258
Stop Event
node limit
Counts
435 → 444
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 5/288 (pow.f64 x 2)))))
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 5/288 (*.f64 61/34560 (pow.f64 x 2)))))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 -1/36 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2880 (pow.f64 x 2)) 1/36))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 -1/483840 (pow.f64 x 2)))) 1/36))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))
(*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))
(*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))
(*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 -1/30240 (pow.f64 x 2)))) 1/18))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
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(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
Outputs
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (fma.f64 1/18 (pow.f64 x 2) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/180 1/18) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 17/30240 1/180) 1/18) 2/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (pow.f64 x 2) 1/6 4/3)
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 5/288 (pow.f64 x 2)))))
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) 5/288))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 5/288 1/6) 4/3)
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 5/288 (*.f64 61/34560 (pow.f64 x 2)))))))
(+.f64 4/3 (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 (pow.f64 x 2) (+.f64 5/288 (*.f64 (pow.f64 x 2) 61/34560))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 61/34560 5/288) 1/6) 4/3)
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 -1/36 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/36 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2880 (pow.f64 x 2)) 1/36))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 1/2880 (pow.f64 x 2) -1/36))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/2880 -1/36) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 -1/483840 (pow.f64 x 2)))) 1/36))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/2880 (*.f64 (pow.f64 x 2) -1/483840)) -1/36))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/483840 1/2880) -1/36) 2/3))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 2/3 x)
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 2/3 x)
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 2/3 x)
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 2/3 x)
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 2/3 x)
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 2/3 x)
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 2/3 x)
(*.f64 x (pow.f64 (sqrt.f64 2/3) 2))
(*.f64 2/3 x)
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))
(*.f64 2/3 x)
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))
(*.f64 2/3 x)
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))
(*.f64 2/3 x)
(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -2/3) 2)))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 2/3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 2/3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 2/3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 2/3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 2/3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 2/3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 2/3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 2/3))
(*.f64 (sqrt.f64 2/3) (sqrt.f64 x))
(*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -2/3) (sqrt.f64 -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 -2/3) (sqrt.f64 -1))))
(*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -2/3) (sqrt.f64 -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 -2/3) (sqrt.f64 -1))))
(*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -2/3) (sqrt.f64 -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 -2/3) (sqrt.f64 -1))))
(*.f64 -1 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2/3))))
(neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 -2/3) (sqrt.f64 -1))))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 -2/3) (sqrt.f64 -1))))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 -1/18 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/18)))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/18 2/3))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/540 (pow.f64 x 2)) 1/18))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 1/540 (pow.f64 x 2) -1/18))))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/540 -1/18) 2/3))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 -1/30240 (pow.f64 x 2)))) 1/18))))
(*.f64 (pow.f64 x 2) (+.f64 2/3 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 1/540 (*.f64 (pow.f64 x 2) -1/30240)) -1/18))))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/30240 1/540) -1/18) 2/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 2/3 x)
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (fma.f64 1/18 (pow.f64 x 2) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 1/180 (pow.f64 x 2))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/180 1/18) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 17/30240 (pow.f64 x 2))))))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) (+.f64 1/180 (*.f64 (pow.f64 x 2) 17/30240)))))))
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (/.f64 1 (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(*.f64 (sin.f64 x) 3/8)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(fabs.f64 (*.f64 (sin.f64 x) 3/8))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(*.f64 (sin.f64 x) 3/8)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (sin.f64 x) 3/8)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(*.f64 (sin.f64 x) 3/8)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(*.f64 (sin.f64 x) 3/8)

eval460.0ms (3.2%)

Compiler

Compiled 17425 to 13275 computations (23.8% saved)

prune188.0ms (1.3%)

Pruning

39 alts after pruning (31 fresh and 8 done)

PrunedKeptTotal
New103391042
Fresh72229
Picked145
Done044
Total1041391080
Accuracy
100.0%
Counts
1080 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
25.4%
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2)
53.0%
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
49.9%
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 3)
52.3%
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
50.5%
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
75.5%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
65.2%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
75.5%
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
50.5%
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
50.4%
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
53.5%
(/.f64 (*.f64 x 1/2) 3/4)
30.0%
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
54.0%
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
99.4%
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
57.2%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
57.1%
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
53.2%
(/.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))) (*.f64 3/8 (sin.f64 x)))
75.4%
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
50.4%
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
75.4%
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
75.3%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
99.2%
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))
50.4%
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
50.3%
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
4.3%
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
50.4%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
5.2%
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
99.1%
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
53.8%
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
56.9%
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
53.2%
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
53.1%
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
52.9%
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
53.1%
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
53.2%
(*.f64 2/3 x)
49.6%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))))
48.7%
(exp.f64 (log.f64 (*.f64 x 2/3)))
50.3%
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3))
Compiler

Compiled 1449 to 1112 computations (23.3% saved)

regimes86.0ms (0.6%)

Counts
86 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(/.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))) (*.f64 3/8 (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))) 3))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 2) 64/9))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))) 2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x))))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 8/3 (exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(*.f64 8/3 (log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 27/512))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 2) 64/9))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
(*.f64 8/3 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(*.f64 8/3 (pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 1/3))
(/.f64 (pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3) (sin.f64 x))
(*.f64 (log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (*.f64 8/3 (log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
Calls

2 calls:

47.0ms
x
33.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes40.0ms (0.3%)

Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))
Outputs
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
Calls

1 calls:

36.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes37.0ms (0.3%)

Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
Outputs
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
Calls

1 calls:

33.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes33.0ms (0.2%)

Counts
55 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
Outputs
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Calls

1 calls:

30.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes57.0ms (0.4%)

Counts
53 → 2
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
Calls

1 calls:

54.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes51.0ms (0.4%)

Counts
47 → 2
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x))
Calls

1 calls:

48.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes54.0ms (0.4%)

Counts
46 → 2
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
Calls

1 calls:

51.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes45.0ms (0.3%)

Counts
44 → 2
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
Calls

1 calls:

42.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes44.0ms (0.3%)

Counts
43 → 2
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
Calls

1 calls:

42.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes42.0ms (0.3%)

Counts
41 → 2
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(*.f64 8/3 (*.f64 (*.f64 x 1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 (*.f64 x 1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) (+.f64 1/18 (*.f64 (pow.f64 x 2) 1/180)))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (*.f64 x 1/2)) (sin.f64 x))
Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32)))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
Calls

1 calls:

39.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes34.0ms (0.2%)

Counts
32 → 2
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x)))
Calls

1 calls:

32.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes33.0ms (0.2%)

Counts
30 → 2
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)) 8/3)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
Calls

1 calls:

30.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes29.0ms (0.2%)

Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (pow.f64 x 2) 2/3))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 x (sin.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (*.f64 x 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))))
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
98.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 -4/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (pow.f64 x 2))))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) -1/36)))
(*.f64 x (+.f64 2/3 (*.f64 (pow.f64 x 2) 1/18)))
(*.f64 (*.f64 x 4/3) (/.f64 (*.f64 x 1/2) (sin.f64 x)))
(*.f64 8/3 (*.f64 x (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/48))))
(*.f64 (/.f64 1 x) (*.f64 8/3 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 4/3)
(/.f64 (fabs.f64 (sin.f64 (*.f64 x 1/2))) 3/4)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(/.f64 (*.f64 2/3 (pow.f64 x 2)) (sin.f64 x))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
57.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
Outputs
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
56.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(/.f64 (*.f64 x 1/2) 3/4)
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
53.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
Outputs
(*.f64 2/3 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
53.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
15.0ms
2.11815607384697e-10
8.124031385909194e-7
Results
13.0ms63×256valid
0.0ms256valid
Compiler

Compiled 101 to 85 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-sin, time spent: 3.0ms, 51.0% of total-time
Operation ival-mult, time spent: 2.0ms, 34.0% of total-time
Operation ival-div, time spent: 1.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch7.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
6.0ms
1.430202148148929e-12
4.101014689935177e-12
Results
5.0ms31×256valid
0.0ms256valid
Compiler

Compiled 61 to 51 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-div, time spent: 1.0ms, 34.0% of total-time
Operation ival-mult, time spent: 1.0ms, 34.0% of total-time
Operation ival-sin, time spent: 1.0ms, 34.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
14.0ms
2.11815607384697e-10
8.124031385909194e-7
Results
12.0ms63×256valid
0.0ms256valid
Compiler

Compiled 101 to 85 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-sin, time spent: 3.0ms, 43.0% of total-time
Operation ival-div, time spent: 2.0ms, 28.0% of total-time
Operation ival-mult, time spent: 2.0ms, 28.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch4.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
2.11815607384697e-10
8.124031385909194e-7
Results
3.0ms15×256valid
0.0ms256valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
Operation ival-sin, time spent: 1.0ms, 69.0% of total-time
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.0036879348686767325
0.03570513784983945
Results
16.0ms95×256valid
0.0ms256valid
Compiler

Compiled 165 to 137 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-sin, time spent: 4.0ms, 46.0% of total-time
Operation ival-mult, time spent: 3.0ms, 35.0% of total-time
Operation ival-div, time spent: 2.0ms, 23.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.0036879348686767325
0.03570513784983945
Results
16.0ms95×256valid
0.0ms256valid
Compiler

Compiled 183 to 155 computations (15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-sin, time spent: 4.0ms, 46.0% of total-time
Operation ival-mult, time spent: 3.0ms, 35.0% of total-time
Operation ival-div, time spent: 2.0ms, 23.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
8.124031385909194e-7
0.0036879348686767325
Results
24.0ms127×256valid
0.0ms256valid
Compiler

Compiled 181 to 153 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-sin, time spent: 5.0ms, 39.0% of total-time
Operation ival-mult, time spent: 4.0ms, 31.0% of total-time
Operation ival-div, time spent: 3.0ms, 24.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
8.124031385909194e-7
0.0036879348686767325
Results
23.0ms127×256valid
0.0ms256valid
Compiler

Compiled 181 to 153 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-sin, time spent: 5.0ms, 43.0% of total-time
Operation ival-mult, time spent: 4.0ms, 35.0% of total-time
Operation ival-div, time spent: 2.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
8.124031385909194e-7
0.0036879348686767325
Results
24.0ms127×256valid
0.0ms256valid
Compiler

Compiled 165 to 137 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-sin, time spent: 7.0ms, 54.0% of total-time
Operation ival-mult, time spent: 4.0ms, 31.0% of total-time
Operation ival-div, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify24.0ms (0.2%)

Algorithm
egg-herbie
Rules
38×*-commutative
14×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081911
1102911
2111911
3117911
4122911
5124911
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (<=.f64 x 3022314549036573/151115727451828646838272) (/.f64 (*.f64 x 1/2) 3/4) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))))
(if (<=.f64 x 4951760157141521/1237940039285380274899124224) (/.f64 (*.f64 x 1/2) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x)))
(if (<=.f64 x 3022314549036573/151115727451828646838272) (/.f64 (*.f64 x 1/2) 3/4) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (<=.f64 x 7737125245533627/19342813113834066795298816) (/.f64 (*.f64 x 1/2) 3/4) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3))
(if (<=.f64 x 5534023222112865/1152921504606846976) (/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32))) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(if (<=.f64 x 5534023222112865/1152921504606846976) (/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32))) (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x))))
(if (<=.f64 x 3504881374004815/18446744073709551616) (/.f64 (*.f64 x 1/2) 3/4) (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x))))
(if (<=.f64 x 3504881374004815/18446744073709551616) (/.f64 (*.f64 x 1/2) 3/4) (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(if (<=.f64 x 3504881374004815/18446744073709551616) (/.f64 (*.f64 x 1/2) 3/4) (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 2/3 x)
Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(if (<=.f64 x 3022314549036573/151115727451828646838272) (/.f64 (*.f64 x 1/2) 3/4) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x))))
(if (<=.f64 x 4951760157141521/1237940039285380274899124224) (/.f64 (*.f64 x 1/2) 3/4) (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (sin.f64 x)))
(if (<=.f64 x 3022314549036573/151115727451828646838272) (/.f64 (*.f64 x 1/2) 3/4) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(if (<=.f64 x 7737125245533627/19342813113834066795298816) (/.f64 (*.f64 x 1/2) 3/4) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3))
(if (<=.f64 x 7737125245533627/19342813113834066795298816) (/.f64 (*.f64 x 1/2) 3/4) (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(if (<=.f64 x 5534023222112865/1152921504606846976) (/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32))) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(if (<=.f64 x 5534023222112865/1152921504606846976) (/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 (pow.f64 x 2) -3/32))) (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x))))
(if (<=.f64 x 3504881374004815/18446744073709551616) (/.f64 (*.f64 x 1/2) 3/4) (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (*.f64 3/8 (sin.f64 x))))
(if (<=.f64 x 3504881374004815/18446744073709551616) (/.f64 (*.f64 x 1/2) 3/4) (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(if (<=.f64 x 3504881374004815/18446744073709551616) (/.f64 (*.f64 x 1/2) 3/4) (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)))
(if (<=.f64 x 3504881374004815/18446744073709551616) (/.f64 (*.f64 x 1/2) 3/4) (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 2/3 x)
(*.f64 x 2/3)
Compiler

Compiled 282 to 228 computations (19.1% saved)

soundness2.0s (14.1%)

Rules
1558×log-prod
1486×associate-*r*
1384×cube-prod
1326×associate-*l*
1298×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025220
151212
2117208
3332208
41029208
51898208
62227208
72327208
82371208
92399208
102471208
112952208
122960208
066923177
1144722733
2637622733
023496
1292418
23285418
031448
1435441
25912441
0112329758
1267324641
036383
1492376
26487376
0105122689
1249022121
2653722121
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 2155 to 1605 computations (25.5% saved)

end1.0ms (0%)

preprocess506.0ms (3.5%)

Compiler

Compiled 978 to 754 computations (22.9% saved)

Profiling

Loading profile data...